Triangles, Quadrilaterals, and Polygons
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Triangles, Quadrilaterals, and Polygons — Free MYP2 Mathematics Practice Questions

1QuestionClassifying Triangles by Sides and AnglesConcept Practice
3 marks~5 minCriterion A
The graph shows the relationship between the number of sides of a regular polygon and the sum of its interior angles.
a
Identify the increase in the sum of interior angles each time the number of sides increases by 1. [1]
b
Calculate the sum of interior angles for a regular polygon with 9 sides. [1]
c
A regular polygon has a sum of interior angles of 900°. Explain whether it could also be classified as a quadrilateral. [1]
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Solutions

2QuestionProperties of Squares Rectangles Parallelograms and TrapeziumsAssessment Practice
5 marks~8 minCriterion D
A carpenter builds a rectangular table frame with sides of 120 cm and 90 cm. When measured, the two diagonals are 152 cm and 149 cm.
a
State the property of rectangles that relates to their diagonals. [1]
b
Calculate the expected diagonal length of a perfect rectangle with sides 120 cm and 90 cm. [2]
c
Compare the measured diagonals with your calculated value and decide whether the frame is a perfect rectangle. Include one reason why the measurements might differ from the expected value. [2]
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Solutions

3QuestionUnderstanding Interior Angles of PolygonsConcept Practice
3 marks~5 minCriterion B
The table below shows the sum of interior angles for polygons with 3 to 10 sides.

Number of sides345678910
Sum of interior angles (°)180360540720900108012601440
a
Using (n−2)×180°(n-2) \times 180°, calculate the sum of interior angles of a pentagon (n=5n = 5). [1]
b
Describe the relationship between the number of sides and the sum of interior angles shown in the table. [1]
c
A polygon has an interior angle sum of 1800°. Explain how you can find the number of sides, and state your answer. [1]
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Solutions

4QuestionProperties of Isosceles Equilateral and Right TrianglesAssessment Practice
6 marks~9 minCriterion C
In isosceles triangle ABCABC, AB=ACAB = AC and ∠BAC=40°\angle BAC = 40°. Point DD lies on BCBC such that AD=ABAD = AB.
a
State the size of ∠ABC\angle ABC. [1]
b
Calculate the size of ∠BAD\angle BAD, showing your working. [2]
c
Triangle ABDABD has two equal sides. Explain what this tells you about ∠BAD\angle BAD and ∠BAC\angle BAC, and what this reveals about point DD. [3]
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Solutions

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