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Geometry
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New Zealand
Level 5

Using Properties of Quadrilaterals

Lesson
Practice

Interactive practice questions

Consider what you know about parallelograms.

a

Which of the following quadrilaterals are not parallelograms? Select all that apply.

A four-sided polygon with blue squares at the four corners indicating that they are right angles. There are single line markings at the top and bottom sides indicating that these sides are of equal length. There are double line markings at the left and right sides indicating that these sides are of equal length.
A

A four-sided polygon with blue squares at the four corners indicating that they are right angles. There are single line markings on all four sides indicating that these sides are of equal length.
B

A four-sided polygon with single line markings at the top and bottom sides indicating that these sides are of equal length. There are double line markings at the left and right sides indicating that these sides are of equal length.
C
A four-sided polygon with single line markings on all four sides indicating that these sides are of equal length.
D

A four-sided polygon is depicted. The top side appears shorter than the bottom side. And the left side appears to be more slanted and longer than the right side.
E
b

In part (a), we found that the quadrilateral pictured below is not a parallelogram. What type of quadrilateral is it?

A four-sided polygon is depicted. The top side appears shorter than the bottom side. And the left side appears to be more slanted and longer than the right side.

A kite

A

A rhombus

B

A rectangle

C

A trapezium

D
Easy
< 1min

Why is a square a regular polygon, but not a rhombus?

Easy
< 1min

Determine whether the following statement is true or false.

It is possible to draw a polygon with two sides that intersect at their midpoints.

Easy
< 1min

Which of the following quadrilaterals have opposite equal sides?

Easy
< 1min
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Outcomes

GM5-5

Deduce the angle properties of intersecting and parallel lines and the angle properties of polygons and apply these properties

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