Two identical right-angled triangles are joined along their longest sides, with the right angles opposite. What shape do they make?
Building and naming shapes from their properties
Year 6 · Upper Key Stage 2 · 6G-1 — Draw, compose and decompose shapes according to given properties
Draft — awaiting teacher review
Builds on: Polygons, symmetry and perimeter (Year 4), Angles and geometric properties (Year 6)
I
Concept Anchor
A parallelogram has two pairs of parallel sides. A trapezium has exactly one pair. A rhombus has four equal sides. A square is a rhombus with right angles.
Worked example
Join two identical right-angled triangles along their longest sides.
- 1.The two right angles end up opposite each other.
- 2.The four corners are all right angles.
- 3.Opposite sides are equal: it is a rectangle.
II
Guided Check
A quadrilateral has two pairs of parallel sides and no right angles. Name one shape it could be.
III
Independent Diagnostic Practice
Which quadrilateral has exactly one pair of parallel sides?
A shape has four equal sides but no right angles. What is it?