Question

Is the following statement true of false? Givejustification if

true or a counterexample if false.
Any two quadrilaterals are similar if
theircorresponding angles are congruent.

Answer 1

No , any two quadrilaterals may not be similar if their corresponding angles are congruent.

Explanation:

We need to check that whether two quadrilaterals are similar if

their corresponding angles are congruent.

A quadrilateral is a polygon having two sides .

Two figures are said to be similar if they have same shape .

Two angles are said to be congruent if they have same measure .

Consider two quadrilaterals : rectangle and square

Each angle of square and rectangle is equal to
`90^(\circ)` . So, their corresponding angles are congruent .

But square and rectangle are not similar as they have different shape .