Geometry B, Quiz 2: Similarity: Triangle Theorems

If TX = 6 then RX =

2 sqrt 3

If TX = 3, XR = TY, and YS = 6, find XR.

3 sqrt 2

If RT = 8, then TX =

4 sqrt 3

If RX = 3, then RT =

6

If the lengths of corresponding altitudes have the same ratio as the length of any pair of corresponding sides, the two triangles are similar.

Always

The slant height of a regular square pyramid is longer than its altitude.

Always

A line that passes through two sides of a triangle divides the sides proportionally.

Sometimes

Similar triangles are congruent.

Sometimes

All of the following are pairs of corresponding sides in similar triangles except:

RX and SX

In triangle RST, RT = 4, ST = 8, and TX bisects <RTS. Which of the following proportions must be true?

RX/RT = SX/ST

Find the missing part.

x = 2 sqrt 41

Using the Pythagorean Theorem, which of the triangles shown are right triangles?

Triangle A

A line parallel to one side of a triangle, and intersects the other two sides, divides the other two sides proportionally.

True

If two sides of one triangle are proportional to two sides of another and included angles are equal, then the triangles are similar.

True

The perimeters of similar triangles are in the same ratio as the corresponding sides.

True

Given Angle 1 = Angle 2, find x.

X = 6

Use the given information to match the answers. ABC is a right triangle. 1. 2 sqrt 13 2. Sqrt 5 3. 3 sqrt 3

1. If a = 4 and b = 6, then c = 2. If b = 2 and c = 3, then a = 3. If a = 3 and c = 6, then b =

If three corresponding sides of one triangle are proportional to three sides of another, then the triangles are similar.

Always

The angles of similar triangles are equal.

Always

In a 30-60-90 triangle, the hypotenuse is the shorter leg times the square root of two.

False