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Angle Rules and Proofs — Free MYP1 Mathematics Practice Questions
1QuestionUsing Geometric Reasoning to Find Missing AnglesConcept Practice
2 marks~3 minCriterion A
A right angle is split into two smaller angles. One angle is and the other is .
a
State the size of a right angle. [1]
b
Calculate the value of . [1]
Solutions
2QuestionSolving Problems with Justification and ProofConcept Practice
4 marks~6 minCriterion C
Two straight lines cross at a point, forming four angles labelled , , , and . Angle .
a
Identify the two pairs of vertically opposite angles in the diagram. [1]
b
Describe, in one sentence, how you can find the size of angle . [1]
c
Compare vertically opposite angles with angles on a straight line. State one way they are the same and one way they are different. [2]
Solutions
3QuestionAngle Sum in a Triangle and QuadrilateralConcept Practice
4 marks~6 minCriterion B
The diagram shows a triangle with a straight line passing through one vertex, lying flat along the top. The three angles along the straight line match the three interior angles of the triangle.
a
State the sum of the angles on a straight line. [1]
b
Describe what you notice about the angles along the straight line and the angles inside the triangle. [2]
c
Compare the angle sum on a straight line with the angle sum inside a triangle, and explain what this tells us. [1]
Solutions
4QuestionUsing Geometric Reasoning to Find Missing AnglesConcept Practice
2 marks~3 minCriterion D
A map shows three islands forming a triangle. Two of the angles are and .
a
Calculate the missing angle of the triangle. [1]
b
Describe one reason why the angle you calculated might not give the captain an accurate heading in real life. [1]
Solutions
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