Lines, Angles, and Their Properties
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Lines, Angles, and Their Properties — Free MYP2 Mathematics Practice Questions

1QuestionAngle Relationships in Parallel Lines and TransversalsConcept Practice
2 marks~3 minCriterion A
The diagram shows two parallel lines cut by a transversal (a line crossing both). One pair of corresponding angles is marked: one angle measures 75°75° and the other is unknown.
a
State the relationship between corresponding angles when two parallel lines are cut by a transversal. [1]
b
Calculate the unknown angle. [1]
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Solutions

2QuestionAngles on a Straight Line and Around a PointAssessment Practice
4 marks~6 minCriterion D
A carpentry student measures two angles formed where two wooden planks meet along a straight edge. The recorded angles are 73°73° and 107°107°. The protractor used has a margin of error (the range within which the true value may lie) of ±1°\pm 1°.
a
Calculate the sum of the two measured angles. [1]
b
The student claims the angles are supplementary (summing to exactly 180°180°). Using the margin of error, identify the smallest and largest possible sums, and explain whether the student's claim is fully valid. [2]
c
Describe one limitation of using only a protractor to check that a carpentry joint is straight. [1]
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Solutions

3QuestionConstructing and Measuring Angles with ProtractorConcept Practice
5 marks~8 minCriterion B
Two straight lines, ACAC and BDBD, intersect at point OO, forming four angles: ∠AOB=35°\angle AOB = 35°, ∠BOC=145°\angle BOC = 145°, ∠COD=35°\angle COD = 35°, and ∠DOA=145°\angle DOA = 145°.
a
Identify the relationship between ∠AOB\angle AOB and ∠BOC\angle BOC. [1]
b
Calculate ∠COD\angle COD using the straight-line property (angles on a straight line sum to 180°180°). Show your working. [2]
c
Compare ∠AOB\angle AOB and ∠COD\angle COD. Explain why they must always be equal for any two intersecting lines. [2]
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Solutions

4QuestionAngle Relationships in Parallel Lines and TransversalsAssessment Practice
5 marks~8 minCriterion C
Two parallel lines are cut by a transversal, forming the angles shown in the diagram.

Angle A=50°A = 50°, Angle B=130°B = 130°, Angle C=xC = x.
a
Identify the relationship between Angle AA and Angle BB. [1]
b
Calculate the value of xx, showing the angle relationship you used. [3]
c
A classmate says xx could equal 130°130° instead. Explain why they are incorrect. [1]
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Solutions

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