Q. 675.0( 2 Votes )

# Fill in the blanks to make the statements true.

In Fig. 6.25, ∆ARO ≅ ∆ ____PQO____

Answer :

When 2 angle are equal

∠AOR = ∠POQ (vertically opposite angle)

∠R = ∠Q (given 55°)

Third angle also be to other because the all have sum 180°

Hence;

∠A = ∠P

As line AO = OP

∠AOR = ∠POQ

And ∠A = ∠P

Then ARO ↔ PQO by SAS congruency

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In the following pairs of triangles of Fig. 6.47, the lengths of the sides are indicated along the sides. By applying SSS congruence criterion, determine which triangles are congruent. If congruent, write the results in symbolic form.

NCERT - Exemplar Mathematics

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

NCERT - Exemplar MathematicsIn Fig. 6.49, it is given that LM = ON and NL = MO

A. State the three pairs of equal parts in the triangles NOM and MLN.

B. Is ∆NOM ≅ ∆MLN. Give reason?

NCERT - Exemplar Mathematics

ABC is an isosceles triangle with AB = AC and D is the mid-point of base BC (Fig. 6.48).

A. State three pairs of equal parts in the triangles ABD and ACD.

B. Is ∆ABD ≅ ∆ACD. If so why?

NCERT - Exemplar Mathematics

State whether the statements are True or False.

In Fig. 6.28, two triangles are congruent by RHS.

NCERT - Exemplar Mathematics

Fill in the blanks to make the statements true.

In Fig. 6.25, ∆ARO ≅ ∆ ____PQO____

NCERT - Exemplar Mathematics

Fill in the blanks to make the statements true.

In Fig. 6.24, ∆ ____DRQ____ ≅ ∆PQR

NCERT - Exemplar Mathematics