Exam 4: Triangles

In , . Which statement is true?

In , and . If and , find the perimeter of .

In the figure, A-C-D-B , , and . Of the line segments drawn from point P to , which has the greatest length?

Having proved that by the reason SSS, what reason allows you to conclude that ?

What part of is included by and ?

If D is the midpoint of , what name is given to in relation to ?

Suppose that you have utilized congruent vertical angles to prove that by the method SAS. By what reason can you, in turn, state that ?

In the proof that , what statement can you justify by the reason Identity?

In isosceles triangle RST , . If and , find the value of x .

In the figure, the measure of exterior angle BCD is twice the measure of .What type of triangle is ?

To construct the midpoint of the horizontal line segment , begin by marking off arcs of equal length from points A and B so that the arcs intersect both above and below .

Given that is congruent to , , , , and ,find the perimeter .

Just as SSS, SAS, ASA, AAS, and HL are methods for proving that triangles are congruent, use three letters to state two methods that are not valid.

In , the line segment joins vertex to point on the opposite side in such a way that . In relation to , what name is given to ?

. In , is the median from vertex A to side . Likewise, is the median of from vertex G to side . How are and related?

The method CPCTC can be used to prove that two triangles are congruent.

In the figure, bisects and D is the midpoint of . If and , find the value of x .

Having proved that by SSS, we can then state that .

In for which , bisects . It follows that:

In the Pythagorean Theorem (where ), the number c represents the length of the hypotenuse of a right triangle.