Question

write a statement that indicates that the triangles to each pair are congruent

Answer 1

Answer:

Triangles are congruent because all the corresponding sides and interior angles are congruent.

Step-by-step explanation:

In ΔWXY  and ΔBCD

Given Sides are congruent:

$WX \cong BC$  

$XY \cong CD$

$YW \cong DB$

Also,

Angles are congruent i,e:

$\angle W \cong \angle B$

$\angle X \cong \angle C$

$\angle Y \cong \angle D$

By congruence statement: If two sides in one triangle are congruent to two sides of a second triangle, and also if the included angles are congruent, then those triangles are congruent.

$\triangle WXY \cong \triangle CBD$

Therefore, we can say the two triangles WXY and BCD are congruent because every corresponding side are of equal length and every corresponding angle has the same measure.

Answer 2

The given triangles WYX and BDC are congruent as all the sides as well as the angles are equal.

From the given figures,

$WY=BD\\WX=BC\\YX=DC$

Also,

$\angle{W}=\angle{B}\\\angle{Y}=\angle{D}\\\angle{X}=\angle{C}$

Hence, the triangles WYX and BDC are congruent to each other.

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