If triangle PQR is congruent to triangle XYZ- then which of the following is true- angle P is congruent to angle Y-angle Q-is congruent to angle Z-angle R-is congruent to angle X-angle R-is congruent to angle Z-

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard IX

Mathematics

Congruence of Triangles

If triangle P...

Question

If triangle PQR is congruent to triangle XYZ, then which of the following is true?

angle P is congruent to angle Y

No worries! We‘ve got your back. Try BYJU‘S free classes today!

angle Q is congruent to angle Z

No worries! We‘ve got your back. Try BYJU‘S free classes today!

angle R is congruent to angle X

No worries! We‘ve got your back. Try BYJU‘S free classes today!

angle R is congruent to angle Z

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

Suggest Corrections

Similar questions

Q. In ∆ABC and ∆PQR, it is given that AB = AC, ∠C = ∠P and ∠B = ∠Q. Then, the two triangles are
(a) isosceles but not congruent
(b) isosceles and congruent
(c) congruent but not isosceles
(d) neither congruent nor isosceles

Q. Which of the following statements are true and which of them are false?

(i) All squares are congruent.
(ii) If two squares have equal areas, they are congruent.
(iii) If two figures have equal areas, they are congruent.
(iv) If two triangles are equal in area, they are congruent.
(v) If two sides and one angle of a triangle are equal to the corresponding two sides and angle of another triangle, the triangle are congruent.
(vi) If two angles and any side of a triangle are equal to the corresponding angles and the side of another triangle then the triangles are congruent.
(vii) If three angles of a triangle are equal to the corresponding angles of another triangle then the triangles are congruent.
(viii) If the hypotenuse and an acute angle of a right triangle are equal to the hypotenuse and the corresponding acute angle of another right triangle then the triangle are congruent.
(ix) If the hypotenuse of a right triangle is equal to the hypotenuse of another right triangle then the triangles are congruent.
(x) If two triangles are congruent then their corresponding sides and their corresponding angles are congruent.

$I n Δ A B C a n d Δ P Q R, it is given that AB = AC, ∠ C = ∠ P a n d ∠ B = ∠ Q . Then, the two triangles are (a) isosceles but not congruent (b) isosceles and congruent (c) congruent but not isosceles (d) neither congruent nor isosceles$

Q. If triangle ABC is congruent to triangle PQR, then angle A corresponds to angle

Q. In triangle ABC, line segment AB is congruent to line segment BC is congruent to line segment CA. Prove that angle A is congruent to angle B is congruent to angle C.

Join BYJU'S Learning Program