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Year 8 Geometry Unit

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Year 8 Geometry Unit

A community team is planning a new coastal activity area. Solve each geometry challenge. Show working for calculations, and include units where needed.

Shape clues

Use properties of 2D and 3D shapes to help the team choose and describe structures.

1.A triangular sign has three equal sides. What type of triangle is it?
2.A square tile is used in the activity area. Select every statement that is true.
  • All four sides are equal.
  • All four angles are right angles.
  • Opposite sides are parallel.
  • It has six vertices.
3.A rectangular-prism storage box has 6 faces and 8 vertices. How many edges does it have?

Angles on the site plan

Calculate unknown angles using angle facts. Remember: straight-line angles total 180°, angles around a point total 360°, and a triangle's interior angles total 180°.

4.A straight path is split by a line into angles of 68° and x°. Find x.
5.Three paths meet at a point. Their angles are 125°, 90° and y°. Calculate y.
6.A triangular shade frame has interior angles of 47°, 63° and z°. Work out z.
7.A crossing of two straight paths makes a 74° angle. What is the size of the vertically opposite angle?

Transformations and coordinates

The team tests a triangular marker on a coordinate grid. Coordinates are written (x, y).

8.Triangle ABC has A(1, 1), B(4, 1) and C(2, 3). Translate every vertex 3 units right and 2 units up. Write the new coordinates A′, B′ and C′.
9.Point P is at (−3, 2). Reflect P across the y-axis. Give the coordinates of P′.

Build and measure

Finish by using area, perimeter and 3D shape properties to check the design.

10.A rectangular seating pad is 9 m long and 6 m wide. Calculate its perimeter and area.
11.A triangular prism model is made for the display. How many faces, edges and vertices does the prism have?

3 printable pages

  • Year 8 Geometry Unit, page 1 of 3: Shape clues, Angles on the site plan

    Page 1

  • Year 8 Geometry Unit, page 2 of 3: Transformations and coordinates

    Page 2

  • Year 8 Geometry Unit, page 3 of 3: Build and measure

    Page 3

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