Checking and securing understanding of properties of shapes | Maths

Starter quiz

Which angle fact could be used to justify why $a=130$ using a single statement?

Alternate angles in parallel lines are equal.

Angles that form a straight line are supplementary.

Co-interior angles in parallel lines are supplementary.

Corresponding angles in parallel lines are equal.

Vertically opposite angles are equal. ✓
Which angle fact could be used to justify why $b=50$ using a single statement?

Alternate angles in parallel lines are equal.

Angles that form a straight line are supplementary. ✓

Co-interior angles in parallel lines are supplementary.

Corresponding angles in parallel lines are equal.

Vertically opposite angles are equal.
Which angle fact could be used to justify why $c=130$ using a single statement?

Alternate angles in parallel lines are equal. ✓

Angles that form a straight line are supplementary.

Co-interior angles in parallel lines are supplementary.

Corresponding angles in parallel lines are equal.

Vertically opposite angles are equal.
Which angle fact could be used to justify why $d=130$ using a single statement?

Alternate angles in parallel lines are equal.

Angles that form a straight line are supplementary.

Co-interior angles in parallel lines are supplementary.

Corresponding angles in parallel lines are equal. ✓

Vertically opposite angles are equal.
Which angle fact could be used to justify why $e=50$ using a single statement?

Alternate angles in parallel lines are equal.

Angles that form a straight line are supplementary.

Co-interior angles in parallel lines are supplementary. ✓

Corresponding angles in parallel lines are equal.

Vertically opposite angles are equal.
If the pair of horizontal lines were dragged further apart from each other, what would happen to the values of $a$ , $c$ and $d$ ?

They would all become greater than 130.

They would all become less than 130.

They would all remain equal to 130. ✓

Some would be greater than 130 and some would be less than 130.

Exit quiz

Match the triangles with the triangle types.

A

⇔

equilateral ✓

B

⇔

isosceles ✓

C

⇔

scalene ✓
Match the quadrilaterals with the quadrilateral types.

A

⇔

square ✓

B

⇔

rhombus ✓

C

⇔

trapezium ✓

D

⇔

rectangle ✓

E

⇔

parallelogram ✓

F

⇔

kite ✓
The size of the angle $x$ is ______°.

'88' ✓
The size of the angle $y$ is ______°.

'92' ✓
Which statements are true about $z$ ?

$z = 92$

$z = y$

$z = 180 - y$ ✓

$z = x$ ✓

$z = 180 - x$
The size of the angle $x$ is ______°.

'59' ✓

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Lesson Details

Key learning points

Many shapes have similar properties.
It is not always clear which shape is being described so more details may be needed.
Knowing the properties of shapes can help you solve more complex problems.

Common misconception

Angles facts cannot be used with shapes as shapes have line segments rather than lines.

It is the properties of the lines, such as whether they are parallel, that are important, not their length.

Keywords

Parallelogram - A parallelogram is a quadrilateral with two pairs of parallel and equal sides.
Rhombus - A rhombus is parallelogram where all the sides are the same length.
Trapezium - A trapezium is a quadrilateral with exactly one pair of parallel sides.
Equilateral triangle - Equilateral triangles have three equal-sized angles and three edges of equal length. They are regular triangles.
Isosceles triangle - Isosceles triangles have two angles that are equal. That is also true for its side lengths: two sides are of equal length.