Exam 4: Triangles

Which method for proving triangles congruent is used only for proving right triangles congruent?

Given that the three sides of a triangle have measures of 5, 8, and x, find possible perimeters (P)of that triangle. Express the answer as an inequality.

When the 3 angle-bisectors of a triangle are constructed, what appears to happen?

Two of the angles of a triangle have measures of 50° and 60°. Which number cannot be the measure of an exterior angle of this triangle?

In a right triangle, the side opposite the right angle is called the base of the right triangle.

The reason "Identity," which is used to state that a line segment or angle is congruent to itself, is also known as the Reflexive Property of Congruence.

Given that , it follows that .

In , and . Name the longest side of .

Given that P is the midpoint of and , what reason is used to establish that is congruent to ?

In right triangle ABC , . If and , find .

The bisector of one angle of a triangle always separates the triangle into two smaller and congruent triangles.

In isosceles triangle RST with vertex angle S , . Describe the measure of .

Construction of an angle's bisector can be justified (proven)by showing that two triangles are congruent.

In , . If , find .

It is possible to draw a triangle whose sides measure 5 inches, 9 inches, and 14 inches.

Where , and . Find .

If bisects of , then point D must be the midpoint of .

In , . Which sides of must be congruent?

In the figure, the perpendicular-bisector of . If and , find WV .

In , it follows that