D. N. A.Are the following triangles similar? If yes, state the

appropriate triangle similarity theorem.

1) A B

CDE

2) XY

Z

R

TS

155

12.3

4.1

3) Find the value of x.

x10

168

In the figure, , and ABC and DCB are right angles. Determine which triangles in the figure are similar.

Are Triangles Similar?

A. ΔOBW ~ ΔITW

B. ΔOBW ~ ΔWIT

C. ΔBOW ~ ΔTIW

D. ΔBOW ~ ΔITW

In the figure, OW = 7, BW = 9, WT = 17.5, and WI = 22.5. Determine which triangles in the figure are similar.

Parts of Similar Triangles

ALGEBRA Given , RS = 4, RQ = x + 3, QT = 2x + 10, UT = 10, find RQ and QT.

Parts of Similar Triangles

Since

because they are alternate interior angles. By AA

Similarity, ΔRSQ ~ ΔTUQ. Using the definition of similar

polygons,

Substitution

Cross products

Parts of Similar Triangles

Answer: RQ = 8; QT = 20

Distributive Property

Subtract 8x and 30 from each side.

Divide each side by 2.

Now find RQ and QT.

Lesson 3 CYP3

A. 196 ft B. 39 ft

C. 441 ft D. 89 ft

INDIRECT MEASUREMENT On her trip along the East coast, Jennie stops to look at the tallest lighthouse in the U.S. located at Cape Hatteras, North Carolina. At that particular time of day, Jennie measures her shadow to be 1 feet 6 inches in length and the length of the shadow of the lighthouse to be 53 feet 6 inches. Jennie knows that her height is 5 feet 6 inches. What is the height of the Cape Hatteras lighthouse to the nearest foot?

Geometry – Practice WorkbookDo not write in the workbook.Write your answers on a separate sheet of paper.

Complete:p. 43 #3 – 8 allp. 42 #1 – 5 oddp. 41 # 1 – 15 odd