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Shapes and Transformations
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Shapes and Transformations
Explore shape properties and transformations. Use the diagrams and grid to solve each challenge. A transformation may move or turn a shape without changing its size.
Shape detectives
1.A sign has four equal sides and four right angles. Which shape is it?
- Triangle
- Square
- Pentagon
- Circle
2.A rectangular prism-shaped parcel is being wrapped. How many faces, edges and vertices does the parcel have?
3.Select every example that shows a right angle (90°).
- A corner of a book
- A corner of a square tile
- The point of a narrow arrowhead
- Where perpendicular lines meet
4.Complete each statement: A triangle has __ sides, __ vertices and __ angles. Parallel lines . Perpendicular lines meet at angles.
Transformation trail
5.Mere moves a paper triangle to a new place without turning or flipping it. Which transformation has she made?
- Reflection
- Rotation
- Translation
- Enlargement
6.A shape is reflected, rotated or translated without being resized. Which properties stay the same? Select all that apply.
- Side lengths
- Angle sizes
- Number of vertices
- Position on the page
7.Shape A has vertices (1,1), (3,1), (3,3), (1,3). Shape B has vertices (5,1), (7,1), (7,3), (5,3). Describe the transformation that maps Shape A to Shape B.
Grid axes labelled 0 to 8; students plot both squares from the coordinates in Question 7.
8.A square has vertices (1,1), (3,1), (3,3), (1,3). Reflect it across the vertical line x = 4. What are the coordinates of the reflected vertices?
Build and explain
9.Draw one possible net for a cube. Your net must use six equal squares joined edge to edge and must fold into a cube.
10.A 3 cm by 2 cm rectangle is enlarged so that every side length is doubled. State the new side lengths and explain what happens to its angles.
11.Choose a real object you might find in a New Zealand home or shop. Name one object shaped like a rectangular prism and one shaped like a cylinder.
3 printable pages
Page 1
Page 2
Page 3
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