Page 95 - MAT KS3 Y8 Cambridge CheckPoint

8.5 Making scale drawings

3 This scale drawing of Oditi’s bedroom is drawn A B
on centimetre squared paper.
The scale is 1 to 25.
a What is the length in real life of the wall:
i AB ii BC iii CD
iv DE v EF vi AF?
Give your answers to part a in metres. D C
b The wardrobe in Oditi’s room is 50 cm deep.
How deep will it be on the scale drawing?
c The bed in Oditi’s room is 1.75 m long.
F E
How long will it be on the scale drawing?
Give your answer in centimetres.

4 This is a sketch of a garden.
Draw a scale drawing of the garden.
Use a scale of ‘1 cm represents 2 m’.

5 This is a sketch of a triangular flowerbed.
a Make a scale drawing of the flowerbed.
Use a scale of 1 : 20.
b What is the real-life length of the hypotenuse of
the flowerbed?
Give your answer to the nearest centimetre.

6 A rectangular tennis court has a length of 24 m and a
width of 11 m.
What is the length of a diagonal of the court?
Explain how you worked out your answer.
Show all your working.

Summary

You should now know that: You should be able to:
★ If two 2D shapes are congruent their ★ Identify the hypotenuse (the longest side) in a
corresponding sides are equal and corresponding right-angled triangle.
angles are equal. ★ Identify corresponding sides and angles in
★ There are two types of symmetry that 2D shapes congruent shapes, and know that they are equal.
may have: line symmetry and rotational symmetry. ★ Identify all the symmetries of 2D shapes.
★ A diagonal is a line that joins two opposite corners ★ Classify quadrilaterals according to their
of a quadrilateral. When diagonals bisect each properties, including diagonal properties.
other they cut each other in half.
★ Draw simple nets of solids such as cuboids,
★ A net shows the 2D layout of a 3D object.
regular tetrahedrons, square-based pyramids,
★ A scale drawing is a drawing that represents triangular prisms.
something in real life. ★ Interpret and make simple scale drawings.

8 Shapes and geometric reasoning 93