Quiz about Prove Isosceles Triangle

Question 1

Which of the following is a correct statement and reason for the proof shown?

Accepted Answer

$$\overline{DC}\cong\overline{DC}$$ ; Reflexive Property

Answer

$$\angle A\cong\angle B$$ ; Base Angles of Isosceles Triangle are Congruent

Answer

$$\angle1\cong\angle2$$ ; Reflexive Property

Answer

$$\overline{AD}\cong\overline{DB}$$ ; Definition of Bisect

Question 2

For isosceles triangles, when we are given that two sides are congruent we can prove that ______________________.

Accepted Answer

two angles are congruent

Answer

the third side is congruent

Answer

three angles are congruent

Answer

no other relationships exist

Question 3

Fill in statement #4.

Accepted Answer

$$\Delta ABC\cong\Delta ADC$$

Answer

$$\Delta ABC\cong\Delta ACD$$

Answer

$$\Delta BAC\cong\Delta ADC$$

Answer

$$\angle B\cong\angle D$$

Question 4

When we are given two angles of a triangle are congruent, we can prove ____________________.

Accepted Answer

two sides are congruent

Answer

three sides are congruent

Answer

three angles are congruent

Answer

no other relationships exist

Question 5

In order to prove relationships in an isosceles triangle, we must __________________________.

Accepted Answer

divide the triangle into two right triangles

Answer

use AAS to prove it is congruent to another triangle

Answer

split the triangle into one acute and one obtuse triangle

Answer

use two angle bisectors

Question 6

Fill in statement #3.

Accepted Answer

$$\overline{AC}\ \cong\ \overline{AC}$$

Answer

$$\overline{AC}\ \cong\ \overline{CA}$$

Answer

$$\angle BAC\cong\angle DAC$$

Answer

$$\angle B\cong\angle D$$

Question 7

Fill in reason .

Accepted Answer

Reflexive Property

Answer

Symmetric Property

Answer

CPCTC

Answer

Transitive Property

Question 8

Fill in reason #4.

Accepted Answer

HL

Answer

ASA

Answer

SSA

Answer

SAS

Question 9

Fill in reason .

Accepted Answer

CPCTC

Answer

Prove

Answer

Base angles of an isosceles triangle are congruent.

Answer

definition of angle bisector

Question 10

Accepted Answer

68

Answer

56

Answer

62

Answer

112

Question 11

Which of the following are true? Select all that apply.

Accepted Answer

This is an isosceles triangle.

Accepted Answer

5x - 3 = 4x + 12

Accepted Answer

This triangle has two congruent sides.

Answer

This is an equilateral triangle.

Question 12

Which of the following are true? Select all that apply.

Accepted Answer

all angles are equal in measure

Accepted Answer

10 = y + 3

Accepted Answer

x = y + 3

Accepted Answer

10 = x

Question 13

If two sides of a triangle are congruent, then the _________________ opposite those sides are congruent.

Accepted Answer

angles

Answer

sides

Answer

vertices

Answer

measures

Question 14

Find the value of y

Accepted Answer

50

Answer

100

Answer

180

Answer

40

Question 15

Find the value of x. (Hint: What type of triangle is this?)

Accepted Answer

4

Answer

1

Answer

-4

Answer

10

Prove Isosceles Triangle

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