Question

3. Given below are measurements of some parts of two triangles. Examine whether the two triangles are
congruent or not. If congruent then state the congruence criterion and write them in symbolic form
APQR
AABC
PQ = 4 cm, QR = 6 cm, ZQ = 50°
a.
AB = 6 cm, BC = 4 cm, B = 50°
PR = 5cm, QR = 7 cm, ZQ = 45°
b.
BC = 7 cm, AC = 5 cm, B = 45°
ZQ = 60°, ZR = 80°, QR = 5 cm
C.
ZA = 60°, ZC = 80°, AC = 5 cm
ZP = 80°, PQ = 5 cm, ZR = 30°
d.
B = 80°, ZC = 30°, BC = 5 cm
ZQ = 90°, PR = 8 cm, PQ = 4 cm
e.
ZA = 90°, AC = 4 cm, BC = 9 cm
ZP = 90°, PR = 3 cm, QR = 7 cm
f.
ZB = 90°, AC = 7 cm, AB = 3 cm
f​

Answer 1

Answer:

In △ABC and △RPQ

∠B=∠P (Rightangle)

AC=RQ (hypotenuse, both 8cm)

AB=RP(side, both 3cm)

∴△ABC≅△RPQ by RHS congruence rule

Step-by-step explanation:

Given below are measurements of some parts of two triangles.Examine whether the two triangles are congruent or not,using RHS congruence rule.In case of congruent triangles, write the result in symbolic form:

△ABC has ∠B=90  

∘

,AC=8cm, AB=3cm and

△PQR has ∠P=90  

∘

,PR=3cm, QR=8cm