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Corresponding parts are the sides and angles that have the same relative positions in the different figures.
Corresponding Angles:
∠ Q ≅ ∠ W
∠ R ≅ ∠ X
∠ S ≅ ∠ Y
∠ T ≅ ∠ Z
Corresponding Sides:
QR ≅ WX
RS ≅ XY
ST ≅ YZ
TQ ≅ ZW
Example Statement: RSTQ≅ XYZW
Corresponding parts are the sides and angles that have the same relative positions in the different figures. We will first write another congruence statement and then identify the corresponding sides and angles.
Therefore, the another possible congruence statement is RST Q≅ XYZ W.
To identify the corresponding angles, we can use the fact that the angles at corresponding vertices are corresponding angles.
Using what we know from the congruence statement, and by referring to our diagram, we can summarize the corresponding angles. & ∠ Q≅ ∠ W & ∠ R≅ ∠ X &∠ S≅ ∠ Y &∠ T≅ ∠ Z
Since we already know the corresponding vertices, we can identify congruent sides.
Let's summarize what we see in the diagram. Q R &≅ W X RS &≅ XY ST &≅ YZ T Q &≅ Z W