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?