Constructing rhombi | Exit Quiz | Oak National Academy

This kite has be created by using two triangles, joined by a common edge length. The two triangles are ...

• ...congruent equilateral triangles

• ...congruent isosceles triangles

• ...congruent scalene triangles

• ...different isosceles triangles

• ...different scalene triangles

Answer explanation

If the two isosceles triangles were congruent then this would be a rhombus.

A rhombus is a ___ where all sides are the same length.

Answer explanation

A rhombus is a special case of a parallelogram, which means all rhombi are parallelograms but not all parallelograms are rhombi.

A rhombus is a quadrilateral where ...

• ...all edges are equal.

• ...all angles are equal.

• ...there are two sets of parallel sides.

• ...there are no lines of symmetry.

• ...there are two sets of equal angles.

Answer explanation

When the angles are equal in a rhombus, then it is a special case, which is a square.

Which of these show the correct construction of a rhombus?

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Answer explanation

One of the constructions is with congruent equilateral triangles and the other is with congruent isosceles triangles.

If Jun and Jacob were to both construct a rhombus with edge lengths of 8 cm, would their constructions be identical?

• Yes - both of the rhombi would have edge lengths of 8 cm, so they are the same.

• No - they can have the same edges but the angles can be different.

• Maybe - if they both constructed the rhombus using equilateral triangles.

Sofia is constructing a rhombus from one given edge AB. She has nearly finished the construction of rhombus ABCD. Where is vertex D?