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

Byju's Answer

Standard X

Mathematics

SSS Similarity

State the cor...

Question

State the correspondence between the vertices, sides and angles of the following congruent triangles.
( a ) $Δ P Q R ≅ Δ A B C$
( b ) $Δ X Y Z ≅ Δ M N O$

Open in App

Solution

(a) $Δ P Q R ≅ Δ A B C$
P corresponds to A
Q corresponds to B
R corresponds to C
PQ $=$ AB;
QR $=$ BC;
PR $=$ AC
$∠ P = ∠ C; ∠ Q = ∠ B; ∠ R = ∠ C$
(b) $Δ X Y Z ≅ Δ M N O$
X corresponds to M
Y corresponds to N
Z corresponds to O
$X Y = M N$ ; $Y Z = N O$ ; $X Z = M O$
$∠ X = ∠ M; ∠ Y = ∠ N; ∠ Z = ∠ O$ .

Suggest Corrections

Similar questions

Q. State the correspondence between the sides and angels of the following congruent triangles.
a)

Δ P Q R ≅ Δ X Y Z

Δ A B C ≅ Δ T U V

Observe the information shown in pairs of triangles given below. State the test by which the two triangles are congruent. Write the remaining congruent parts of the triangles.

(i)

From the information shown in the figure,

∆

ABC and

∆

PQR

∠

ABC

≅ ∠

PQR

seg BC

≅

seg QR

∠

ACB

≅

∠

PRQ

∴ ∆

ABC

≅

∆

PQR .......

3243432

test

∴ ∠

BAC

≅

3243432

.......corresponding angles of congruent triangles.

\begin{array}{l} seg AB ≅ 1234 \\ and 1234 ≅ seg PR \end{array}\} . . . corresponding sides of congruent triangles

(ii)

From the information shown in the figure,

∆

PTQ and

∆

STR

seg PT

≅

seg ST

∠

PTQ

≅

∠

STR...... vertically opposite angles

∴ ∆

PTQ

≅

∆

STR .......

3243432

test

\begin{array}{l} ∴ ∠ TPQ ≅ 1234 \\ and 1234 ≅ ∠ TRS \end{array}\} . . . corresponding angles of congruent triangles

seg PQ

≅

3243432

corresponding sides of congruent triangles

Q. State the correspondence between the vertices, sides and angles of the following pairs of congruent triangles.

(i) ∆ABC ≅ ∆EFD
(ii) ∆CAB ≅ ∆QRP
(iii) ∆XZY ≅ ∆QPR
(iv) ∆MPN ≅ ∆SQR

Q. In

Δ A B C

and

Δ P Q R, ∠ A = ∠ Q

and

∠ B = ∠ R

which side of

Δ P Q R

should be equal to the side

A B

Δ A B C

, so two triangles become congruent. Give reason to your answer.

Identify the corresponding sides and corresponding angles in the following congruent triangles:

(a)

(b)

Join BYJU'S Learning Program

State the correspondence between the vertices, sides and angles of the following congruent triangles.( a ) ΔPQR≅ΔABC( b ) ΔXYZ≅ΔMNO

(a) ΔPQR≅ΔABCP corresponds to AQ corresponds to BR corresponds to CPQ=AB;QR=BC;PR=AC∠P=∠C;∠Q=∠B;∠R=∠C(b) ΔXYZ≅ΔMNOX corresponds to MY corresponds to NZ corresponds to OXY=MN; YZ=NO; XZ=MO∠X=∠M;∠Y=∠N;∠Z=∠O.

State the correspondence between the vertices, sides and angles of the following congruent triangles.
( a ) $Δ P Q R ≅ Δ A B C$
( b ) $Δ X Y Z ≅ Δ M N O$