Question

if triangle ABC is congruent to triangle PQR, write the ratios of corresponding sides of two triangles

answer fast and don't get nonsense answers​

Answer 1

Answer

1

$\rule{50}{1}$

Solution

Given, ∆ABC is congruent to ∆PQR

Hence, we can say that

AB = PQ

BC = QR

AC = PR

(corresponding parts of congruent triangles are equal)

Hence, ratio of corresponding sides

→ AB/PQ = AB/AB = 1 (since, PQ = AB)

→ BC/QR = BC/BC = 1 (since, QR = BC)

→ AC/PR = AC/AC = 1 (since, PR = AC)

Hence, the ratio of corresponding sides of two congruent triangles is always 1 : 1 or simply 1.

Answer 2

$\bold{\underline{\underline{Answer:}}}$

Ratio = 1:1

$\bold{\underline{\underline{Step\:by\:step\:explanation:}}}$

Given :

• Δ ABC is conruent to Δ PQR.

To find :

• Ratio of corresponding sides of the two triangles

Solution :

The two triangles are congruent, therefore we can write the corresponding sides of the two triangles.

Corresponding Sides :-

$\bold{\dfrac{AB}{PQ}}$ = $\bold{\dfrac{BC}{QR}}$ = $\bold{\dfrac{AC}{PR}}$

Side AB = Side PQ --->(1)

Side BC = Side QR ---> (2)

Side AC = Side PR ---> (3)

Let's take one pair at a time from the corresponding sides.

$\rightarrow$ $\bold{\dfrac{AB}{PQ}}$

From (1) we can substitute AB for PQ.

$\rightarrow$ $\bold{\dfrac{AB}{AB}}$

$\rightarrow$ $\bold{\dfrac{1}{1}}$

Next pair :-

$\rightarrow$$\bold{\dfrac{BC}{QR}}$

From (2) we can substitute BC for QR,

$\rightarrow$$\bold{\dfrac{BC}{BC}}$

$\rightarrow$ $\bold{\dfrac{1}{1}}$

Next pair :-

$\rightarrow$$\bold{\dfrac{AC}{PR}}$

From (3) we can substitute AC for PR,

$\rightarrow$$\bold{\dfrac{AC}{AC}}$

$\rightarrow$ $\bold{\dfrac{1}{1}}$

•°• We infer that the ratio of corresponding sides of two congruent triangles are 1:1 or 1.