wiz-icon
MyQuestionIcon
MyQuestionIcon
16
You visited us 16 times! Enjoying our articles? Unlock Full Access!
Question

In the given figures, the congruent parts have been shown by identical marks. From the figures of □XYZW and □PQRS, write


(1) two pairs of congruent segments.
(2) two pairs of congruent angles.
(3) whether the statement □XYZW ≅ □PQRS is true or false. Give reasons for your answer.

Open in App
Solution

(1) We have the following pairs of congruent segments:
Seg XY ≅ Seg PQ, Seg XY ≅ Seg PS, Seg XY ≅ Seg SR, Seg XY ≅ Seg QR
Seg XW ≅ Seg PS, Seg XW ≅ Seg SR, Seg XW ≅ Seg QR, Seg XW ≅ Seg PQ
Seg WZ ≅ Seg SR, Seg WZ ≅ Seg QR, Seg WZ ≅ Seg PQ, Seg WZ ≅ Seg PS
Seg YZ ≅ Seg QR, Seg YZ ≅ Seg PQ, Seg YZ ≅ Seg PS, Seg YZ ≅ Seg SR
We can choose any two pairs.

(2) We have the following pairs of congruent angles:
∠X ≅ ∠P, ∠X ≅ ∠Q, ∠X ≅ ∠R, ∠X ≅ ∠S
∠Y ≅ ∠Q, ∠Y ≅ ∠R, ∠Y ≅ ∠S, ∠Y ≅ ∠P
∠Z ≅ ∠R, ∠Z ≅ ∠S, ∠Z ≅ ∠Q, ∠Z ≅ ∠P
∠W ≅ ∠S, ∠W ≅ ∠P, ∠W ≅ ∠Q, ∠W ≅ ∠R
We can choose any two pairs.

(3) □XYZW ≅ □PQRS. This statement is true because all the sides and angles of □XYZW are equal to the all the sides and angles of □PQRS.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Criteria for Congruency
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon