Question

Given two right angles triangles ABC and PRQ, such that ∠A = 20°, ∠Q = 20° and AC = QP. Write the correspondence if triangles are congruent.
(a) ΔABC≌ ΔPQR (b) ∠ABC ≌ ΔPRQ
(c) ∠ABC ≌ ΔRQP
(d) ΔABC ≌ ΔQRP​

Answer 1

Answer:

d) triangle ABC is congruent to triangle QRP by AAS congruence

Step-by-step explanation:

Angle B is equal to angle R =90 degrees

Angle A is equal to angle Q=20 degrees (given)

AC=QP(given)

That's why triangle ABC is congruent to triangle QRP by AAS congruence.

Answer 2

Given : two right angles triangles ABC and PRQ, such that ∠A = 20°, ∠Q = 20° and AC = QP  

triangles are congruent.

To Find :  Write the correspondence

Solution:

two right angles triangles ABC and PRQ

∠A = 20°, ∠Q = 20°

AC = QP

triangles are congruent.

Hence angle opposite to Equal side would be equal

∠B = ∠R

∠C = ∠P   ( if two angles are equal third angle also equal)

=> ΔABC ≅ ΔQRP

option  (d) ΔABC ≌ ΔQRP

AB  = QR

BC =  RP

AC = QP

∠A =  ∠Q

∠B = ∠R

∠C = ∠P

Learn More:

Yriangle ABC is congruent to Triangle PQR Ab=9cm BC=4.5cm AC ...

https://brainly.in/question/17260978

Show that the diagonals of a rhombus divide it into four congruent ...

https://brainly.in/question/11763339