PM Review — Lines and Angles

Question 1 Difficulty 1

Draw two intersecting lines and label the point of intersection as O.

A Use a ruler
B Use a compass
C Draw freehand
D All of the above

💡 Explanation You can use any method to draw two intersecting lines as long as they cross at point O.

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

Draw four angles formed by two intersecting lines and label them as Angle A, Angle B, Angle C, and Angle D.

A A, B, C, D
B 1, 2, 3, 4
C X, Y, Z, W
D Angle 1, Angle 2, Angle 3, Angle 4

💡 Explanation Labeling the angles as A, B, C, and D helps in identifying them easily.

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

Draw a diagram showing vertical angles formed by intersecting lines.

A A & B
B A & C
C B & D
D C & D

💡 Explanation Vertical angles are opposite each other; thus, A & C are vertical 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 4 Difficulty 1

Draw a diagram showing adjacent angles formed by intersecting lines.

A A & C
B A & B
C C & D
D B & D

💡 Explanation Adjacent angles share a common vertex and a side; A & B are adjacent.

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

Label the angles in your diagram as Angle A, Angle B, Angle C, and Angle D.

A A, C, B, D
B B, D, A, C
C C, A, D, B
D D, B, C, A

💡 Explanation Correctly labeling helps in better understanding the relationships between 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 6 Difficulty 1

Draw a number line with labels from 0 to 180 degrees.

A 0 to 90 only
B 0 to 180
C 0 to 360
D -90 to 90

💡 Explanation The number line should represent angle measures from 0 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 7 Difficulty 1

Draw a diagram to show that vertical angles are equal.

A 50° and 130°
B 70° and 70°
C 90° and 90°
D 30° and 150°

💡 Explanation Vertical angles are equal; thus, 70° and 70° should be shown.

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

Sketch a diagram showing the sum of adjacent angles equal to 180°.

A 30° + 150°
B 40° + 50°
C 90° + 90°
D 60° + 120°

💡 Explanation Adjacent angles A and B should add to 180°, as shown in the diagram.

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

Draw a diagram showing the relationship between Angle A and Angle C.

A Equal
B Supplementary
C Complementary
D None

💡 Explanation Angle A and Angle C are equal because they are vertical 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 10 Difficulty 1

Draw two intersecting lines and highlight the angles formed.

A Highlight only A
B Highlight A and B
C Highlight A, B, C
D Highlight all angles

💡 Explanation All angles formed should be highlighted to show their relationships.

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

If Angle A is 70°, what is the measure of Angle C? Draw the diagram to show this.

A 70°
B 110°
C 90°
D 50°

💡 Explanation Angle C is equal to Angle A because they are vertical angles, so it is also 70°.

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

If Angle B is 120°, what is the measure of Angle D? Draw the diagram to illustrate your answer.

A 60°
B 120°
C 90°
D 180°

💡 Explanation Angle D is equal to Angle B because they are vertical angles, so it is also 120°.

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

Draw a diagram where Angle A = 30°. What is Angle B?

A 60°
B 30°
C 150°
D 180°

💡 Explanation Angle A and Angle B are adjacent angles, and together they sum to 180°, so Angle B = 150°.

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

If Angle A = 40°, calculate Angle D. Draw your diagram.

A 140°
B 120°
C 60°
D 80°

💡 Explanation Angle D is equal to Angle B, which is 140° because Angle A + Angle B = 180°.

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

If Angle A = 45°, what is the measure of Angle B? Draw the diagram to find out.

A 135°
B 45°
C 90°
D 180°

💡 Explanation Since Angle A + Angle B = 180°, Angle B must be 135°.

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

Draw a diagram showing that if Angle A + Angle B = 180°, how would you calculate Angle C if Angle A = 50°?

A 130°
B 50°
C 180°
D 90°

💡 Explanation Angle C must be 130° because 180° - 50° = 130°.

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

If Angle B = 90°, what is the measure of Angle D? Draw the diagram.

A 90°
B 70°
C 180°
D 60°

💡 Explanation Angle D is equal to Angle B because they are vertical angles, so it is also 90°.

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

Draw a diagram showing angles A and B where Angle A = 60°, find Angle B.

A 120°
B 60°
C 80°
D 70°

💡 Explanation Angle B must be 120° because 180° - 60° = 120°.

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

If Angle C = 110°, what is Angle D? Draw the diagram to confirm.

A 70°
B 110°
C 90°
D 80°

💡 Explanation Angle D is equal to Angle B, which is 70° because the sum of angles C and D must equal 180°.

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

Draw a diagram showing two intersecting lines where Angle A = 20°; what is Angle C?

A 160°
B 20°
C 180°
D 90°

💡 Explanation Angle C is equal to Angle A because they are vertical angles, so it is also 20°.

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

Angle A is 55°; calculate Angle B if they are adjacent angles. Draw the diagram.

A 125°
B 55°
C 90°
D 180°

💡 Explanation Angle B must be 125° because 180° - 55° = 125°.

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

If Angle B = 85°, what is Angle D? Draw the diagram to find out.

A 95°
B 85°
C 180°
D 75°

💡 Explanation Angle D is equal to Angle B because they are vertical angles, so it is also 85°.

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 diagram, if Angle A = 30° and Angle B = 150°, what is the relationship between them?

A Vertical
B Adjacent
C Complementary
D Supplementary

💡 Explanation Since Angle A + Angle B = 180°, they are supplementary 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 24 Difficulty 3

Draw a diagram where Angle A = 40°, what is the measure of Angle D if Angle B = 140°?

A 40°
B 140°
C 180°
D 30°

💡 Explanation Angle D must be 40° because it is equal to Angle A, being a vertical 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 25 Difficulty 3

If Angle A is 70° and Angle C is 110°, verify using a diagram if they are adjacent.

A Yes
B No
C Maybe
D Cannot determine

💡 Explanation They cannot be adjacent since their sum is not 180°.

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

Angle A measures 90°; if Angle B is adjacent to it, what is Angle C? Draw the diagram to support your answer.

A 90°
B 180°
C 0°
D 60°

💡 Explanation Angle C must be 90° because it is equal to Angle A as they are vertical 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 27 Difficulty 3

If Angle C = 30° and Angle D = 150°, are they supplementary? Draw the diagram to justify.

A Yes
B No
C Maybe
D Cannot determine

💡 Explanation They are supplementary because their sum equals 180°.

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

If Angle B is 130° and Angle D is adjacent to it, what is Angle A? Draw the diagram to find out.

A 50°
B 130°
C 90°
D 180°

💡 Explanation Angle A must be 50° because Angle A + Angle B = 180°.

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

In a diagram, if Angle A is 60° and Angle D is 120°, confirm if they are vertical angles.

A Yes
B No
C Maybe
D Cannot determine

💡 Explanation They are not vertical angles since they are not opposite each other.

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

If Angle A = 45° and Angle B = 135°, check if they are complementary. Draw the diagram.

A Yes
B No
C Maybe
D Cannot determine

💡 Explanation They are not complementary since their sum is not 90°.

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

If Angle A = 35° and Angle B = 145°, calculate Angle C if it is vertical to Angle B. Draw the diagram for verification.

A 145°
B 35°
C 180°
D 90°

💡 Explanation Angle C is equal to Angle B because they are vertical angles, so it is also 145°.

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

If Angle A is 60°, and Angle B is 120°, what is the measure of Angle C if it is adjacent to Angle B? Draw the diagram.

A 60°
B 120°
C 180°
D 90°

💡 Explanation Angle C must be 60° because Angle A + Angle B = 180°.

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

In a diagram, if Angle A = 25° and Angle C = 155°, verify if they are supplementary.

A Yes
B No
C Maybe
D Cannot determine

💡 Explanation They are supplementary because their sum is 180°.

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

If Angle B is adjacent to Angle A which measures 70°, what's the measure of Angle D if Angle A + Angle D = 180°? Draw the diagram.

A 110°
B 70°
C 90°
D 80°

💡 Explanation Angle D must be 110° because 180° - 70° = 110°.

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

If Angle C = 150°, calculate Angle A if it is vertical to Angle C. Draw the diagram to confirm.

A 30°
B 50°
C 150°
D 90°

💡 Explanation Angle A is equal to Angle C because they are vertical angles, so it is 30°.

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 Angle A + Angle B = 180° and Angle A = 40°, what is Angle D if Angle D is vertical to Angle B? Draw your diagram.

A 140°
B 40°
C 180°
D 90°

💡 Explanation Angle D is equal to Angle B, which is 140° because Angle A + Angle B = 180°.

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

Draw a diagram with Angle A = 45° and calculate Angle B if Angle B is adjacent. What is Angle B?

A 135°
B 90°
C 45°
D 180°

💡 Explanation Angle B must be 135° because 180° - 45° = 135°.

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

If Angle B is 80° and is adjacent to Angle A, what is Angle C if Angle C is vertical to Angle A? Draw the diagram.

A 80°
B 100°
C 180°
D 90°

💡 Explanation Angle C is equal to Angle A because they are vertical 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 39 Difficulty 4

If Angle A = 55° and Angle D = 125°, verify if Angle C is vertical to Angle A. Draw the diagram.

A Yes
B No
C Maybe
D Cannot determine

💡 Explanation Angle C is vertical to Angle A; hence they are equal.

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

If Angle C = 90° and Angle A + Angle B = 180°, what is the measure of Angle D if Angle D is vertical to Angle B? Draw the diagram.

A 90°
B 0°
C 180°
D 45°

💡 Explanation Angle D is equal to Angle B because they are vertical 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?