Question

Use your understanding of congruence to explain why a triangle cannot be congruent to a quadrilateral. a. Why can’t a triangle be congruent to a quadrilateral? b. Why can’t an isosceles triangle be congruent to a triangle that is not isosceles?

Answer 1

A triangle be congruent to a quadrilateral because congruent shapes have the same sides and angles. If the number of sides/angles is not even the same, how can the two sets be the same?

An isosceles triangle be congruent to a triangle that is not isosceles because an isosceles triangle has two sides with equal length. If a triangle is not isosceles, all its side lengths are different, so the three sides can't have the same length

Answer 2

congruency means that the size and shape must be exactly the same in the figures that are compared. A triangle cannot be congruent to a quadrilateral because it has three sides whereas a quadrilateral has four. An isosceles triangle cannot be congruent to a non isosceles triangle because the sides would be different lengths.

Explanation:

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