Question 1

Given that  is an obtuse triangle, it follows that:

Accepted Answer

A) the three angle-bisectors meet in the exterior of  
B) the three medians meet in the exterior of  
C) the three altitudes meet in the interior of  
D) the 3 perpendicular-bisectors of the sides of  meet in the exterior of the triangle

Question 2

Given that  is congruent to  ,  , and  , find  .

Accepted Answer

The answer of Given that  is congruent to ...

Question 3

If  in  , then  .

Accepted Answer

A) True 
 B)False

Question 4

Given that  and  , which method establishes that  ?

Accepted Answer

A) ASA 
B) SAS 
C) AAA 
D) SSS

Question 5

In order to justify the construction of the angle-bisector  of  , we verify that two triangles are congruent by which method?

Accepted Answer

A) SAS 
B) ASA 
C) SSS 
D) HL

Question 6

Given that point P is the midpoint of both  and  , it follows that  .

Accepted Answer

A) True 
 B)False

Question 7

In the figure,  and  bisects  . Name the reason that justifies why  .

Accepted Answer

The answer of In the figure,  and  bisects...

Question 8

Given that  , it follows that:

Accepted Answer

A)   
B)   
C)   
D)

Question 9

The reason for the congruence of two triangles due to the congruence of two pairs of angles and their included pair of sides is represented by AAS.

Accepted Answer

A) True 
 B)False

Question 10

In the construction a regular hexagon, we constructed an exterior angle of the hexagon. What is the measure of each exterior angle of the regular hexagon?

Accepted Answer

A) 30 ° 
B) 45 ° 
C) 60 ° 
D) None of These

Question 11

In the figure,  bisects the acute angle  of  to form isosceles triangle ABD with base  . Which side of  is longest?

Accepted Answer

The answer of In the figure,  bisects the acute...

Question 12

In the figure,  and  bisect each other. If  and  is  larger than  , find  .

Accepted Answer

The answer of In the figure,  and  bisect...

Question 13

Which three-letter symbol is used to indicate that two triangles are congruent becausetheir three pairs of sides are congruent?

Accepted Answer

The answer of Which three-letter symbol is used to indicate...

Question 14

You have proved that  by the reason ASA and in turn that  by CPCTC. What reason allows you to further conclude that " Z is the midpoint of  ?"

Accepted Answer

The answer of You have proved that  by the...

Question 15

To construct an angle that measures 60°, one begins by constructing perpendicular lines.

Accepted Answer

A) True 
 B)False

Question 16

For the angle-measure indicated, which angle cannot be constructed?

Accepted Answer

A) 22.5 ° 
B) 30 ° 
C) 40 ° 
D) 45 °

Question 17

In  where  is a right angle, it follows that  ,  and  .

Accepted Answer

A) True 
 B)False

Question 18

In a proof, what reason can be cited that justifies the statement  ?

Accepted Answer

A) Symmetric Property of Congruence 
B) Substitution Property of Equality 
C) Transitive Property of Congruence 
D) Identity

Question 19

Which is NOT a method for proving two triangles congruent?

Accepted Answer

A) SSS 
B) SSA 
C) SAS 
D) ASA

Exam 4: Triangles

Given that is an obtuse triangle, it follows that:

Given that is congruent to , , and , find .

If in , then .

Given that and , which method establishes that ?

In order to justify the construction of the angle-bisector of , we verify that two triangles are congruent by which method?

Given that point P is the midpoint of both and , it follows that .

In the figure, and bisects . Name the reason that justifies why .

Given that , it follows that:

The reason for the congruence of two triangles due to the congruence of two pairs of angles and their included pair of sides is represented by AAS.

In the construction a regular hexagon, we constructed an exterior angle of the hexagon. What is the measure of each exterior angle of the regular hexagon?

In the figure, bisects the acute angle of to form isosceles triangle ABD with base . Which side of is longest?

In the figure, and bisect each other. If and is larger than , find .

Which three-letter symbol is used to indicate that two triangles are congruent becausetheir three pairs of sides are congruent?

You have proved that by the reason ASA and in turn that by CPCTC. What reason allows you to further conclude that " Z is the midpoint of ?"

To construct an angle that measures 60°, one begins by constructing perpendicular lines.

For the angle-measure indicated, which angle cannot be constructed?

In where is a right angle, it follows that , and .

In a proof, what reason can be cited that justifies the statement ?

Which is NOT a method for proving two triangles congruent?