Name ______________________________________________________ Period _____ Pre-Algebra Chapter 7 Review #2
Determine if the two figures are congruent by using transformations.
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5. Triangle ABC has vertices A(–4, 5), B(–1, 5), and C(–4, 0). Rotate Triangle ABC
90° in a clockwise direction about the origin, translated it two units up, and
reflect over the y-axis. What are the new coordinates of Triangle A’B’C’ and
what is the length of all three sides.
6. Triangle RST is congruent to triangle UVW. Write congruence statements
comparing the corresponding parts. Then determine which transformations
map triangle RST onto triangle UVW.
7. The two triangles are congruent, write congruence statements comparing
the corresponding parts.
8. Triangle EFG is congruent to triangle LMN. Find the value of x. Then describe the
transformations that map triangle EFG onto triangle LMN.
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Determine if the two figures are similar by using transformations. If they are similar, what transformations map the
small figure onto the big figure?
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12. A T-shirt iron-on measures 2 inches by 1 inch. It is enlarged by a scale factor of 3 for the back of the shirt. The
second iron-on is enlarged by a scale factor of 2 for the front of the shirt. What are the dimensions of both iron-ons?
Are both of the enlarged iron-ons similar to the original?
Determine if each pair of polygons is similar.
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The two triangles are similar. Determine the transformation that map on figure onto the other. Find the missing side
measures also.
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Determine if the triangles are similar. If so write a similarity statement.
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19. How tall is the tree?
20. Find the distance from the house to the street light.
22. Triangle JKL has vertices J(0, 0), K(1, 0), and L(1, 2). Determine if each
triangle is similar to triangle JKL and if they have the same slope to triangle JKL.
a. ∆𝐴𝐵𝐶: A(1, 2), B(1, 6), C(3, 6)
b. ∆𝑀𝑁𝑃: M(3, 1), N(6, 1), P(6, 7)
c. ∆𝑅𝑆𝑇: R(1, 2), S(4, 2), T(4, 5)
d. ∆𝑊𝑋𝑌: W(0, 0), X(–1, –2), Y(0, –2)
For each pair of similar figures, find the perimeter of the second figure.
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21. How tall is the light house
25. Julie is enlarging a digital photo on her computer. The original photo is 5in by 7in. If she enlarges the dimensions
1.5 times, what will be the perimeter and area of the new image?
26. A company wants to reduce the dimenions of its logo by one fifth to use of business cards. If the area of the original
logo is 20 square inches, what is the area of the logo that will be used on the business cards?