Forum

Triangles

It is given that ∆ ABC ≅ ∆ FDE and AB = 5 cm, ∠B = 40° and ∠A = 80°. Then
which of the following is true?
(A) DF = 5 cm, ∠F = 60° (B) DF = 5 cm, ∠E = 60°
(C) DE = 5 cm, ∠E = 60° (D) DE = 5 cm, ∠D = 40°

05/11/2024

Mathematics

9th

Triangles

D is a point on the side BC of a ∆ ABC such that AD bisects ∠BAC. Then
(A) BD = CD (B) BA > BD (C) BD > BA (D) CD > CA

05/11/2024

Mathematics

9th

Triangles

In ∆ PQR, ∠R = ∠P and QR = 4 cm and PR = 5 cm. Then the length of PQ is
(A) 4 cm (B) 5 cm (C) 2 cm (D) 2.5 cm

05/11/2024

Mathematics

9th

Triangles

In ∆ ABC, BC = AB and ∠B = 80°. Then ∠A is equal to
(A) 80° (B) 40° (C) 50° (D) 100°

05/11/2024

Mathematics

9th

Triangles

In ∆ ABC, AB = AC and ∠B = 50°. Then ∠C is equal to
(A) 40° (B) 50° (C) 80° (D) 130°

05/11/2024

Mathematics

9th

Triangles

If AB = QR, BC = PR and CA = PQ, then
(A) ∆ ABC ≅ ∆ PQR (B) ∆ CBA ≅ ∆ PRQ
(C) ∆ BAC ≅ ∆ RPQ (D) ∆ PQR ≅ ∆ BCA

05/11/2024

Mathematics

9th

Triangles

Which of the following is not a criterion for congruence of triangles?
(A) SAS (B) ASA (C) SSA (D) SSS

05/11/2024

Mathematics

9th

Triangles

If ∆ ABC ≅ ∆ PQR and ∆ ABC is not congruent to ∆ RPQ, then which of the following is not true:
(A) BC = PQ (B) AC = PR (C) QR = BC (D) AB = PQ

05/11/2024

Mathematics

9th

Lines & Angles

Prove that a triangle must have atleast two acute angles.

05/11/2024

Mathematics

9th

Lines & Angles

Prove that two lines that are respectively perpendicular to two intersecting lines intersect each other.
[Hint: Use proof by contradiction].

05/11/2024

Mathematics

9th