- DEF and - LMN are congruent in the correspondence EDF - LMN- Write the pairs of congruent sides and congruent angles in the correspondence-

∆DEF cong; ∆LMN #8658; #8736;DEF= #8736;LMN, #160; #8736;EFD= #8736;MNL, #8736;FDE= #8736;NLMAnd #160;DE=LM,EF=MN,DF=LN ...

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Byju's Answer

Standard VIII

Mathematics

Parameters of Triangles (Sides and Angles)

∆ DEF and ∆ L...

Question

$Δ D E F$ and $Δ L M N$ are congruent in the correspondence $E D F \leftrightarrow L M N$ . Write the pairs of congruent sides and congruent angles in the correspondence.

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Solution

According to the question,
$Δ E D F ≅ Δ L M N$
Then, corresponding parts will also be equal.
Sides
$E D = L M$ , $D F = M N$ , $E F = L N$
Angles
$∠ E D F = ∠ L M N$ , $∠ F E D = ∠ N L M$ , $∠ E F D = ∠ L N M$

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166

Similar questions

Q. In each example below, the given triangles are congruent in the given correspondence. Write their congruent sides and congruent angles.

Q. In ∆LMN and ∆XYZ, side LM ≅ side XY, ∠L ≅ ∠X and side LN ≅ side XZ. By which correspondence between the vertices, are the two triangles congruent?

Q. Corresponding sides of congruent triangles in short we write c.s.c.t. and corresponding angles of congruent triangles in short we write ______.

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

(a)

(b)

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

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ΔDEF and ΔLMN are congruent in the correspondence EDF↔LMN. Write the pairs of congruent sides and congruent angles in the correspondence.

According to the question,ΔEDF≅ΔLMNThen, corresponding parts will also be equal.SidesED=LM, DF=MN, EF=LNAngles∠EDF=∠LMN, ∠FED=∠NLM, ∠EFD=∠LNM

$Δ D E F$ and $Δ L M N$ are congruent in the correspondence $E D F \leftrightarrow L M N$ . Write the pairs of congruent sides and congruent angles in the correspondence.

According to the question,
$Δ E D F ≅ Δ L M N$
Then, corresponding parts will also be equal.
Sides
$E D = L M$ , $D F = M N$ , $E F = L N$
Angles
$∠ E D F = ∠ L M N$ , $∠ F E D = ∠ N L M$ , $∠ E F D = ∠ L N M$