Middle Years

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

Approx a minute

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?

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?

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.

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