In Fig. 6.25, ∆ ARO ≅ ∆ _____. Fill in the blanks to make the statement true.

Solution:

Given, the figure represents two triangles ARO and QPO.

We have to fill in the blanks to make the statement true.

Considering triangle ARO and PQO,

∠ARO = ∠PQ) = 55°

We know that vertically opposite angles are equal.

∠AOR = ∠POQ

We know that if two angles of a triangle are equal to the two angles of another triangle, then the third angle will be equal.

∠RAO = ∠PQO

From the figure,

AO = PO = 2.5 cm

ASA congruence criterion states that, "if two angles of one triangle, and the side contained between these two angles, are respectively equal to two angles of another triangle and the side contained between them, then the two triangles will be congruent".

By ASA criterion, ∆ARO ≅ ∆ PQO

✦ Try This: In Fig, ∆LMN ≅ ∆ _____. Fill in the blanks to make the statement true.

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

NCERT Exemplar Class 7 Maths Chapter 6 Problem 67

In Fig. 6.25, ∆ ARO ≅ ∆ _____. Fill in the blanks to make the statement true.

Summary:

In Fig. 6.25, ∆ ARO ≅ ∆PQO.

☛ Related Questions:

• In Fig. 6.26, AB = AD and ∠BAC = ∠ DAC. Then (i) ∆___ ≅ ∆ ABC. (ii) BC = ___. (iii) ∠BCA = ______. ( . . . .
• In Fig. 6.27, (i) ∠TPQ = ∠ _____ + ∠ _____ (ii) ∠UQR = ∠ _____ + ∠ _____ (iii) ∠PRS = ∠ _____ + ∠ _ . . . .
• In a triangle, the sum of squares of two sides is equal to the square of the third side. State wheth . . . .