New
New
Year 10
Higher

Checking and securing understanding of properties of shapes

I can identify a shape from its properties and state the properties of a given shape.

New
New
Year 10
Higher

Checking and securing understanding of properties of shapes

I can identify a shape from its properties and state the properties of a given shape.

Lesson details

Key learning points

  1. Many shapes have similar properties.
  2. It is not always clear which shape is being described so more details may be needed.
  3. 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.

Pupils could work in groups for Task C. Pupils can compare their folded papers to see how accurate they have been. Different sizes of paper could also be investigated - do they produce the same results?
Teacher tip

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

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6 Questions

Q1.
Which angle fact could be used to justify why $$a=130$$ using a single statement?
An image in a quiz
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.
Correct answer: Vertically opposite angles are equal.
Q2.
Which angle fact could be used to justify why $$b=50$$ using a single statement?
An image in a quiz
Alternate angles in parallel lines are equal.
Correct answer: 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.
Q3.
Which angle fact could be used to justify why $$c=130$$ using a single statement?
An image in a quiz
Correct answer: 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.
Q4.
Which angle fact could be used to justify why $$d=130$$ using a single statement?
An image in a quiz
Alternate angles in parallel lines are equal.
Angles that form a straight line are supplementary.
Co-interior angles in parallel lines are supplementary.
Correct answer: Corresponding angles in parallel lines are equal.
Vertically opposite angles are equal.
Q5.
Which angle fact could be used to justify why $$e=50$$ using a single statement?
An image in a quiz
Alternate angles in parallel lines are equal.
Angles that form a straight line are supplementary.
Correct answer: Co-interior angles in parallel lines are supplementary.
Corresponding angles in parallel lines are equal.
Vertically opposite angles are equal.
Q6.
If the pair of horizontal lines were dragged further apart from each other, what would happen to the values of $$a$$, $$c$$ and $$d$$?
An image in a quiz
They would all become greater than 130.
They would all become less than 130.
Correct answer: They would all remain equal to 130.
Some would be greater than 130 and some would be less than 130.

6 Questions

Q1.
Match the triangles with the triangle types.
An image in a quiz
Correct Answer:A,equilateral

equilateral

Correct Answer:B,isosceles

isosceles

Correct Answer:C,scalene

scalene

Q2.
Match the quadrilaterals with the quadrilateral types.
An image in a quiz
Correct Answer:A,square

square

Correct Answer:B,rhombus

rhombus

Correct Answer:C,trapezium

trapezium

Correct Answer:D,rectangle

rectangle

Correct Answer:E,parallelogram

parallelogram

Correct Answer:F,kite

kite

Q3.
The size of the angle $$x$$ is °.
An image in a quiz
Correct Answer: 88, eighty eight
Q4.
The size of the angle $$y$$ is °.
An image in a quiz
Correct Answer: 92, ninety two
Q5.
Which statements are true about $$z$$?
An image in a quiz
$$z = 92$$
$$z = y$$
Correct answer: $$z = 180 - y$$
Correct answer: $$z = x$$
$$z = 180 - x$$
Q6.
The size of the angle $$x$$ is °.
An image in a quiz
Correct Answer: 59, fifty nine