Question 1

In an isosceles triangle, two sides are equal. If one of these equal sides is

a

and the base is

b

, which of the following inequalities must be true for a triangle to exist?

Accepted Answer

a > \frac{b}{2}

Answer

a < b

Answer

a = \frac{b}{2}

Answer

a < \frac{b}{2}

Question 2

In an isosceles triangle, the vertex angle is

a

. What is the measure of each base angle?

Accepted Answer

70^\circ

Answer

90^\circ

Answer

60^\circ

Answer

80^\circ

Question 3

Given an isosceles triangle where each of the equal sides is

a

and the base is

b

, which of the following inequalities is correct?

Accepted Answer

10 + 10 > 16

Answer

10 + 16 < 10

Answer

10 + 16 > 10

Answer

16 + 16 > 10

Question 4

In an isosceles triangle, the length of the base is

a

and the length of one of the equal sides is

b

. Which inequality expresses the condition needed for this shape to be a triangle?

Accepted Answer

y > \frac{x}{2}

Answer

y < \frac{x}{2}

Answer

y = \frac{x}{2}

Answer

y > x

Question 5

In an isosceles triangle, the angles opposite the equal sides are each

a

. What is the measure of the vertex angle?

Accepted Answer

90^\circ

Answer

120^\circ

Answer

60^\circ

Answer

45^\circ

Question 6

In an isosceles triangle, the base is

a

and one of its base angles is

b

. What is the measure of the vertex angle?

Accepted Answer

80^\circ

Answer

100^\circ

Answer

60^\circ

Answer

50^\circ

Question 7

If an isosceles triangle has sides of lengths

a

,

b

, and

x 	ext{ cm}

, which inequality must

x

satisfy?

Accepted Answer

x < 14

Answer

x > 7

Answer

x > 14

Answer

x = 14

Question 8

In an isosceles triangle, the sum of the lengths of the two equal sides is

a

, and the base is

b

. Which inequality must hold true for the triangle inequality theorem?

Accepted Answer

20 > 12

Answer

12 = 20

Answer

12 > 20

Answer

20 < 12

Question 9

In an isosceles triangle, one of the equal sides is

a

and the third side is

b

. What inequality must be satisfied by the remaining equal side for the triangle to exist?

Accepted Answer

15 + 15 > 10

Answer

15 < 10

Answer

10 + 10 > 15

Answer

15 + 10 > 15

Question 10

In an isosceles triangle, the length of each of the equal sides is

a

and the length of the base is

b

. Which inequality must be true for this triangle to satisfy the triangle inequality theorem?

Accepted Answer

8 + 8 > 10

Answer

8 + 10 > 8

Answer

10 + 10 > 8

Answer

8 + 10 < 8

Related quizzes

Related quizzes