Geometrical Terms and Vocabulary — Solutions

Full worked solutions, with method and final answer for every part.

Question 1

(a)This is a standard geometric fact.

180°

Question 2

(a)A quadrilateral can be split into two triangles, each contributing 180°.

360°

Question 3

(a)This describes the defining property of a trapezium.

Trapezium

Question 4

(a)This is a standard geometric fact, true for any polygon regardless of the number of sides.

360°

Question 5

(a)Angles on a straight line sum to 180°, so the missing angle is 180 − 65.

180°; missing angle = 115°

Question 6

(a)This describes the defining property of a rhombus.

Rhombus

Question 7

(a)A regular polygon has as many lines of symmetry as it has sides.

Question 8

(a)This describes a scalene triangle.

Scalene triangle

Question 9

(a)At any vertex, the interior and exterior angles lie on a straight line together.

They sum to 180° (are supplementary)

Question 10

(a)This describes a rectangle.

Rectangle

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