if traingle pqr similar trianle xyz then which angle is congruent to angle q and which angle is congruent to angle z
Answers
Question:
If ∆ PQR is similar to ∆ XYZ, then which angle is congruent to ∠q and which angle is congruent to ∠z.
Answer
∠Q = ∠Y
∠Z = ∠R
EXPLANATION
Similar figure are those which have same shape. Their size doesn't matter, they might be scaled up or scale down by any factor. Congruent shapes are also similar but if two shapes are similar they are not necessarily congruent.
if we are writing a triangle PQR is similar to the triangle ABC, then we would write it as:
∆PQR ~ ∆XYZ
Where we write the corresponding parts in order. Like the line that is formed from the first two letters of the first triangle corresponds with the line formed from first two letters of the The other a triangle. Here,
- PQ = XY
- QR = YZ
- PR = XZ
- ∠P = ∠X
- ∠Q = ∠Y
- ∠R = ∠Z
Note that if it's written, ∆QRP ~ ∆ZXY or in other forms, then we might not get the same corresponding angles and sides.
Answer:
in ∆ PQR is ~ to ∆ XYZ , then which angle is congruent to angle Q and which anglle is congruent to angle Z
===} angle Q = angle Y
angle Z = angle R