In Δ ABC, AB = AC and ∠B = 50°. Then ∠C is equal to
- 40°
- 50°
- 80°
- 130°
In ΔABC, ∠C = ∠A and BC = 6 cm and AC = 5 cm. Then the length of AB is:
- 6cm
- 5cm
- 3cm
- 2.5cm
If one angle of a triangle is equal to the sum of other two angles, then the triangle is
- an isosceles triangle
- an obtuse triangle
- an equilateral triangle
- a right triangle
If ΔABC, is right angled at B, then
- AB = AC
- AC < AB
- AB = BC
- AC > AB
In ΔABC if AB = BC, then
- ∠B > ∠C
- ∠A = ∠C
- ∠A = ∠B
- ∠A < ∠B
In ΔPQR, ∠P = 60°, ∠Q = 50°. Which side of the triangle is the longest?
- PQ
- QR
- PR
- None
P is a point on side BC of Δ ABC, such that AP bisects ∠BAC, then
- BP = CP
- BA > BP
- BP > BA
- CP < CA
In the give figure q-8, AD is the median, then ∠BAD is:
- 55°
- 50°
- 100°
- 40°
If ΔABC ≅ ΔDEF by SSS congruence rule then :
- AB = EF, BC = FD, CA = DE
- AB = FD, BC = DE, CA = EF
- AB = DE, BC = EF, CA = FD
- AB = DE, BC = EF, ∠C = ∠F
In a Δ ABC, ∠A = ∠C. If BC = 3 and AC = 4 then the perimeter of the triangle is
- 7
- 10
- 12
- 14
From the following which condition is not possible for the congruence of two triangles ?
- ASA
- AAS
- AAA
- SSS
In a right angled triangle, if one acute angle is half the other, then the smallest angle is:
- 15°
- 25°
- 30°
- 35°
In ∆ABC, BC = AB and ∠B = 80°. Then ∠A is equal to
- 80
- 40
- 50
- 100
Two sides of a triangle are of length 5 cm and 1.5 cm. The length of the third side of the triangle cannot be:
- 3.6cm
- 4.1cm
- 3.8cm
- 6.9cm
In ∆PQR, if ∠R > ∠Q, then
- QR > PR
- PQ > PR
- PQ < PR
- None
ΔABC ≡ ΔFDE and AB = 5cm, ∠B=40° and ∠A = 80° then which of the following is true?
- DF = 5cm, ∠F = 60°
- DF = 5cm, ∠E = 60°
- DE = 5cm, ∠E = 60°
- DE = 5cm, ∠D = 40°
All the medians of a triangle are equal in case of a:
- Scalene triangle
- Right angled triangle
- Equilateral triangle
- Isosceles triangle
If in ΔPQR, PQ = PR then:
- ∠P = ∠R
- ∠P = ∠Q
- ∠Q = ∠R
- None
In a triangle ABC, ∠B = 35° and ∠C = 60°, then
- ∠A = 80°
- ∠A = 85°
- ∠A = 120°
- ∠A = 145°
In triangles ABC and PQR, AB = AC, ∠C = ∠P and ∠B = ∠Q. The two triangles are
- isosceles but not congruent
- isosceles and congruent
- congruent but not isosceles
- neither congruent nor isosceles