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8.05 Quadrilaterals built from triangles

Interactive practice questions

Suppose we have an isosceles triangle, then create another triangle by reflecting the original across its base.

If we join the triangles together, which of the following must be true of the resulting quadrilateral?

It will always be a parallelogram but may not be a rhombus.

A

It will always be a rhombus but may not be a square.

B

It will always be a square.

C

It will always be a kite but may not be a parallelogram.

D
Easy
1min

Suppose we have an isosceles triangle, then create another triangle by rotating the original around the middle of its base.

If we join the triangles together, which of the following must be true of the resulting quadrilateral?

Easy
< 1min

Suppose we have an obtuse scalene triangle, then create another triangle by reflecting the original across its shortest side.

If we join the triangles together, which of the following must be true of the resulting quadrilateral?

Medium
< 1min

Suppose we have an acute scalene triangle, then create another triangle by rotating the original by $180^\circ$180° around the middle of its longest side.

If we join the triangles together, which of the following must be true of the resulting quadrilateral?

Easy
1min
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Outcomes

MA4-12MG

calculates the perimeters of plane shapes and the circumferences of circles

MA4-17MG

classifies, describes and uses the properties of triangles and quadrilaterals, and determines congruent triangles to find unknown side lengths and angles

MA4-18MG

identifies and uses angle relationships, including those related to transversals on sets of parallel lines

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