\overline{WU}\cong\overline{ZV}\ and\ \overline{WX} = \overline{YZ}. \angle U, \angle V are right angles, find congruence criteria used to prove that the triangles are congruent.

Haven

Haven

Answered question

2021-07-30

To find: congruent criteria used to prove that the triangles are congruent.
Given information: WU=ZV and WX=YZ. U,V are right angles

Answer & Explanation

BleabyinfibiaG

BleabyinfibiaG

Skilled2021-07-31Added 118 answers

Consider WUY,ZVX
WU=VZ (Given)
As U,V are right angles,
U=V (right angles are congruent)
WX=YZ (Given)
Add XY to both sides.
WX+XY=YZ+XY
WY=XZ
So,
WY=XZ (line segments of equal measures are congruent)
Therefore,
WUY,ZVX (RHS congruence criteria)
Also,
Congruent triangles basically overlap each other.
So, WUY,ZVX is a pair of overlapping triangles.

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