Without drawing the triangles write all six pairs of equal measures in each of the following pairs of congruent triangles.
(a) ∆STU ≅ ∆DEF
(b) ∆ABC ≅ ∆LMN
(c) ∆YZX ≅ ∆PQR
(d) ∆XYZ ≅ ∆MLN

Solution:

Given, four pairs of congruent triangles.

We have to write all six pairs of equal measures of the congruent triangles.

Corresponding parts of congruent triangles or cpct tell us that corresponding sides and corresponding angles of the two triangles which are congruent are equal.

(a) ∆STU ≅ ∆DEF

∠S = ∠D; ∠T = ∠E and ∠U = ∠F

ST = DE; TU = EF and SU = DF

(b) ∆ABC ≅ ∆LMN

∠A = ∠L; ∠B = ∠M and ∠C = ∠N

AB = LM; BC = MN and AC = LN

(c) ∆YZX ≅ ∆PQR

∠Y = ∠P; ∠Z = ∠Q and ∠X = ∠R

YZ = PQ; ZX = QR AND YX = PR

(d) ∆XYZ ≅ ∆MLN

∠X = ∠M; ∠Y = ∠L and ∠Z = ∠N

XY = ML; YZ = LN and XZ = MN

✦ Try This: Without drawing the triangles write all six pairs of equal measures in each of the following pairs of congruent triangles. ∆XYZ ≅ ∆ABC

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 6

NCERT Exemplar Class 7 Maths Chapter 6 Problem 142

Without drawing the triangles write all six pairs of equal measures in each of the following pairs of congruent triangles. (a) ∆STU ≅ ∆DEF, (b) ∆ABC ≅ ∆LMN, (c) ∆YZX ≅ ∆PQR, (d) ∆XYZ ≅ ∆MLN

Summary:

All six pairs of equal measures in each of the following pairs of congruent triangles are (a) ∆STU ≅ ∆DEF ∠S = ∠D; ∠T = ∠E; ∠U = ∠F; ST = DE; TU = EF and SU = DF, (b) ∆ABC ≅ ∆LMN ∠A = ∠L; ∠B = ∠M; ∠C = ∠N; AB = LM; BC = MN and AC = LN, (c) ∆YZX ≅ ∆PQR ∠Y = ∠P; ∠Z = ∠Q; ∠X = ∠R; YZ = PQ; ZX = QR AND YX = PR, (d) ∆XYZ ≅ ∆MLN ∠X = ∠M; ∠Y = ∠L; ∠Z = ∠N; XY = ML; YZ = LN and XZ = MN

☛ Related Questions:

• In the following pairs of triangles of Fig. 6.47, the lengths of the sides are indicated along the s . . . .
• ABC is an isosceles triangle with AB = AC and D is the mid-point of base BC (Fig. 6.48). (a) State t . . . .
• In Fig. 6.49, it is given that LM = ON and NL = MO. (a) State the three pairs of equal parts in the . . . .