PM Review — Triangles

Question 1 Difficulty 1

What shape is formed by three straight sides?

A Square
B Circle
C Triangle
D Rectangle

💡 Explanation Draw three straight lines connecting at three points to form a triangle.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 2 Difficulty 1

How many angles are there in a triangle?

A 2
B 3
C 4
D 5

💡 Explanation Draw a triangle and label its three corners as angles A, B, and C.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 3 Difficulty 1

What is the sum of the angles in a triangle?

A 90 degrees
B 180 degrees
C 360 degrees
D 270 degrees

💡 Explanation Visualize a triangle and note that all three angles together add up to 180 degrees.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 4 Difficulty 1

Which type of triangle has all sides of equal length?

A Isosceles
B Scalene
C Equilateral
D Right

💡 Explanation Draw an equilateral triangle and label all three sides with the same length.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 5 Difficulty 1

What is a triangle with one angle measuring 90 degrees called?

A Acute Triangle
B Obtuse Triangle
C Right Triangle
D Scalene Triangle

💡 Explanation Draw a right triangle and label the right angle with a square at the corner.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 6 Difficulty 1

In which type of triangle are two sides of equal length?

A Equilateral
B Isosceles
C Scalene
D Right

💡 Explanation Draw an isosceles triangle and highlight the two equal sides.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 7 Difficulty 1

Which of the following is a real-life example of a triangle?

A A bicycle wheel
B A cricket pitch
C A table
D A book

💡 Explanation Visualize a cricket pitch and note its triangular shape.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 8 Difficulty 1

What type of triangle has all angles less than 90 degrees?

A Right Triangle
B Acute Triangle
C Obtuse Triangle
D Scalene Triangle

💡 Explanation Draw an acute triangle and label all angles as less than 90 degrees.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 9 Difficulty 1

What type of triangle has all sides of different lengths?

A Equilateral
B Isosceles
C Scalene
D Right

💡 Explanation Draw a scalene triangle and label each side with a different length.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 10 Difficulty 1

If a triangle has angles of 60 degrees and 70 degrees, what is the third angle?

A 50 degrees
B 60 degrees
C 70 degrees
D 80 degrees

💡 Explanation Calculate 180 - (60 + 70) and show the result as the third angle.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 11 Difficulty 2

Which of the following is NOT a type of triangle based on sides?

A Equilateral
B Isosceles
C Hexagonal
D Scalene

💡 Explanation Visualize a triangle and note that hexagons have six sides, not three.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 12 Difficulty 2

What do you call a triangle with one angle greater than 90 degrees?

A Acute Triangle
B Right Triangle
C Obtuse Triangle
D Isosceles Triangle

💡 Explanation Draw an obtuse triangle and label the obtuse angle as greater than 90 degrees.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 13 Difficulty 2

If one angle of a triangle is 40 degrees and another is 100 degrees, what is the third angle?

A 40 degrees
B 60 degrees
C 80 degrees
D 20 degrees

💡 Explanation Calculate 180 - (40 + 100) to find the third angle.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 14 Difficulty 2

How can you identify an isosceles triangle?

A All sides are equal
B Two sides are equal
C No sides are equal
D One angle is 90 degrees

💡 Explanation Draw an isosceles triangle and highlight the two equal sides.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 15 Difficulty 2

What is the measure of the angles in an equilateral triangle?

A 60 degrees each
B 90 degrees each
C 45 degrees each
D 30 degrees each

💡 Explanation Draw an equilateral triangle and label each angle as 60 degrees.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 16 Difficulty 2

Which triangle has no equal sides?

A Equilateral
B Isosceles
C Scalene
D Right

💡 Explanation Draw a scalene triangle and label each side with different lengths.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 17 Difficulty 2

Which angle measurement indicates a right triangle?

A 45 degrees
B 90 degrees
C 120 degrees
D 60 degrees

💡 Explanation Draw a right triangle and label the right angle with a square.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 18 Difficulty 2

If a triangle has angles of 30 degrees and 50 degrees, what is the remaining angle?

A 60 degrees
B 70 degrees
C 80 degrees
D 40 degrees

💡 Explanation Calculate 180 - (30 + 50) to find the remaining angle.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 19 Difficulty 2

Which of the following can be a triangle?

A A shape with two sides
B A shape with four sides
C A shape with three sides
D A shape with five sides

💡 Explanation Visualize and note that only three sides can form a triangle.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 20 Difficulty 2

What type of triangle is a cricket pitch if viewed from above?

A Equilateral
B Isosceles
C Scalene
D Right

💡 Explanation Visualize the cricket pitch and note its equilateral triangular shape.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 21 Difficulty 3

If the angles of a triangle are in the ratio 2:3:5, what are the angles?

A 40, 60, 80
B 36, 54, 90
C 30, 60, 90
D 20, 30, 130

💡 Explanation Let the angles be 2x, 3x, and 5x. 2x + 3x + 5x = 180. Solve for x.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 22 Difficulty 3

An equilateral triangle has a perimeter of 30 cm. What is the length of one side?

A 5 cm
B 10 cm
C 15 cm
D 20 cm

💡 Explanation Divide the perimeter by 3 to find the length of one side.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 23 Difficulty 3

In a right triangle, if one leg is 4 cm and the other leg is 3 cm, what is the length of the hypotenuse?

A 5 cm
B 6 cm
C 7 cm
D 8 cm

💡 Explanation Use the Pythagorean theorem: a² + b² = c²; 4² + 3² = 16 + 9 = 25; c = 5.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 24 Difficulty 3

What is the area of a triangle with a base of 10 cm and a height of 5 cm?

A 25 cm²
B 30 cm²
C 50 cm²
D 15 cm²

💡 Explanation Use the formula for area: (1/2) * base * height = (1/2) * 10 * 5.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 25 Difficulty 3

Which triangles are similar if their angles are equal?

A Equilateral
B Isosceles
C Right
D All of the above

💡 Explanation Visualize triangles with equal angles and note they are similar regardless of side lengths.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 26 Difficulty 3

If the sides of a triangle are 3 cm, 4 cm, and 5 cm, what type of triangle is it?

A Equilateral
B Isosceles
C Right
D Scalene

💡 Explanation Check if 3² + 4² = 5²; since 9 + 16 = 25, it is a right triangle.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 27 Difficulty 3

In an isosceles triangle, if one angle is 40 degrees, what are the other two angles?

A 70 degrees each
B 60 degrees each
C 80 degrees each
D 50 degrees each

💡 Explanation Calculate the remaining angles: 180 - 40 = 140; divide by 2.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 28 Difficulty 3

What is the relationship between the sides and angles of a triangle?

A Longer side, larger angle
B Shorter side, larger angle
C No relation
D All sides are equal

💡 Explanation Visualize triangles and note that the longest side is opposite the largest angle.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 29 Difficulty 3

If a triangle has angles of 50 degrees and 60 degrees, what is the type of triangle based on angles?

A Acute
B Right
C Obtuse
D Scalene

💡 Explanation Calculate the third angle: 180 - (50 + 60) = 70; all angles are less than 90 degrees.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 30 Difficulty 3

Which triangle has one angle that is greater than 90 degrees?

A Acute Triangle
B Right Triangle
C Obtuse Triangle
D Scalene Triangle

💡 Explanation Draw an obtuse triangle and label the obtuse angle as greater than 90 degrees.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 31 Difficulty 4

Find the missing angle in a triangle if the other two angles measure 45 degrees and 85 degrees.

A 50 degrees
B 60 degrees
C 30 degrees
D 40 degrees

💡 Explanation Calculate the missing angle: 180 - (45 + 85) = 50 degrees.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 32 Difficulty 4

A triangle has sides of lengths 7 cm, 24 cm, and 25 cm. What type of triangle is this?

A Equilateral
B Isosceles
C Right
D Scalene

💡 Explanation Check if 7² + 24² = 25²; since 49 + 576 = 625, it is a right triangle.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 33 Difficulty 4

If the sides of a triangle are in the ratio 3:4:5, what type of triangle is it?

A Acute
B Obtuse
C Right
D Isosceles

💡 Explanation The sides follow the Pythagorean theorem, hence it is a right triangle.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 34 Difficulty 4

What is the area of a triangle with a base of 12 cm and a height of 10 cm?

A 60 cm²
B 70 cm²
C 80 cm²
D 90 cm²

💡 Explanation Use the area formula: (1/2) * base * height = (1/2) * 12 * 10.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 35 Difficulty 4

In a triangle, if one angle is double another angle, and the third angle is 40 degrees, what are the angles?

A 20, 40, 120
B 20, 80, 80
C 60, 60, 60
D 30, 30, 120

💡 Explanation Let angles be x, 2x, 40. Then x + 2x + 40 = 180. Solve for x to find the angles.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 36 Difficulty 4

If a triangle has a height of 8 cm and an area of 32 cm², what is the length of the base?

A 4 cm
B 5 cm
C 6 cm
D 8 cm

💡 Explanation Use the area formula: Area = (1/2) * base * height; solve for base.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 37 Difficulty 4

What can you conclude about a triangle with angles measuring 90 degrees, 45 degrees, and 45 degrees?

A It is a right triangle
B It is an acute triangle
C It is an obtuse triangle
D It is a scalene triangle

💡 Explanation Identify the right angle and verify the triangle's classification.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 38 Difficulty 4

In a triangle with a perimeter of 36 cm, if one side measures 10 cm, what is the sum of the other two sides?

A 26 cm
B 16 cm
C 20 cm
D 30 cm

💡 Explanation Subtract the given side from the perimeter: 36 - 10 = 26 cm.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 39 Difficulty 4

If the angles of a triangle are in the ratio 1:2:3, what is the measure of the largest angle?

A 60 degrees
B 90 degrees
C 120 degrees
D 30 degrees

💡 Explanation Let angles be x, 2x, 3x. Then x + 2x + 3x = 180. Solve for x.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 40 Difficulty 4

Which of the following statements is true about triangles?

A All triangles are similar
B Angles can be negative
C The sum of angles is always 180 degrees
D A triangle can have four sides

💡 Explanation Visualize triangles and confirm that the sum of their angles is always 180 degrees.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?