NAME
DATE
PreAP Homework due Thurs. Oct. 1, 2015
PERIOD
SCORE
On the graph below segment M'N' is a dilation of segment MN. Use the graph for
Exercises 1 and 2. TEKS 8.3(B)
1. What is the scale factor of the dilation?
2. Classify the dilation as an enlargement or a reduction.
3. Triangle ABC has vertices A(1, 4), B(–1, 5), and C(1, –4). The triangle is dilated with
a scale factor of 3, and the dilation will be centered at the origin. Write an algebraic
representation for the dilation. Determine the coordinates of the image of point A after
the dilation. TEKS 8.3(B), 8.3(C)
4. Determine whether the triangles are similar by angle-angle similarity. If so, write a similarity
statement. TEKS 8.8(D)
5. The length of a rectangle is 12 centimeters and the width is 5 centimeters. A similar
rectangle has a width of 3 centimeters. What is the length of the second rectangle?
TEKS 8.3(A)
6. Mary is 70 inches tall and casts a 28-inch shadow. Her daughter, who is standing next
to her, casts a 17-inch shadow. How tall is her daughter? TEKS 8.3(A)
7. Ella is creating a poster for her run as class president from a template she made on a
piece of paper. The image she is reproducing is 5 inches by 7 inches. She enlarges the
dimensions by a scale factor of 6. Describe the relationship between the areas of
original image and the new image. TEKS 8.10(D)
Course 3 • Chapter 2 Similarity and Dilations
PreAP Homework due Thurs. Oct. 1, 2015
Continued
Determine whether the polygons are similar. TEKS 8.3(A)
8.
9.
10.
11.
12. A triangle has vertices A(2, 3.5), B(0, 6), and C(–2, 3). After dilation the coordinates
of the triangle are A'(8, 14), B'(0, 24), and C'(–8, 12). What is the algebraic
representation for the dilation? TEKS 8.3(C)
Use a problem-solving model to solve.
13. Polygon ABCD has vertices A(2, 0), B(0, 0), C(2, 3), and D(0, 3).
Polygon ABCD is dilated using the origin as the center of the
dilation. The image is polygon A'B'C'D', and A' has coordinates
(12, 0). Use the grid shown to draw ABCD and find the area of
polygon A'B'C'D'. TEKS 8.3(B), 8.10(D)
14. In the figure below, mACB = mADC = mCDB = 90°.
What is the value of x in the figure? Explain. TEKS 8.3(A)
Course 3 • Chapter 2 Similarity and Dilations