Similar Figures Review #2
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1 Similar Figures Review #2 Name: Date: 1. If XYZ is similar to STU, what is the length of XY in centimeters? 3. Use the triangle below to answer the following question(s). A D In A above, MN is parallel to. What is the length of MN? A D The triangles shown below are similar and 1 = 2. Note: The figures are not drawn to scale. What is the length of x? Round the answer to the nearest tenth of a centimeter. A. 3.6 centimeters. 8.7 centimeters centimeters D centimeters page 1
2 4. A sail is shown below as RTU. SV is a stripe. 5. Natalie drew this figure on a piece of paper. Note: The figure is not drawn to scale. What is the length of SV? A. 4 feet. 6 feet If TAP TED, what is the value of x? (Note: This figure is not drawn to scale.) A D feet D. 10 feet 6. Look at these triangles. Triangle DF is similar to triangle EGF ( DF EGF). What is the value of x? A D. 6 page 2 Similar Figures Review #2
3 7. Lloyd is standing near a telephone pole as shown in the figure below. When his head touches the support wire, he is feet from where the wire meets the ground. If Lloyd is 5 feet tall, how tall is the telephone pole? 8. Mr. Lui wants to build a bridge across the creek that runs through his property. He made measurements and drew the map shown below. A. 15 feet. 17 feet. 20 feet D. 80 feet ased on this map, what is the distance across the creek at the place where Mr. Lui wants to put the bridge? A. 9 feet. 12 feet. 18 feet D. 24 feet 9. A swimmer needs to know the width of a river without having to cross it. She made the diagram below. Note: The figure is not drawn to scale. What is the width (w), in meters, of the river? page 3 Similar Figures Review #2
4 10. Find the value of x. A D. not enough information 13. In A, m = m ADE and m AED = 65. Find m. A D In A, m = m ADE and m = 80. Find m AED. A In the accompanying diagram, A is similar to PQR, A = 6, A = = 12, and PR = 8. Find the perimeter of PQR D ollin wants to find the width of a creek. He takes some measurements and creates a diagram. 15. The sides of a triangle have lengths 3, 4, and 5. What is the length of the shortest side of a similar triangle that has a perimeter of 36? Assuming that A is perpendicular to D and D is parallel to E, what is the width of the creek to the nearest meter? Show all your work. A D. 15 page 4 Similar Figures Review #2
5 16. In two similar triangles, the ratio of the lengths of a pair of corresponding sides is 7: 8. If the perimeter of the larger triangle is 32, find the perimeter of the smaller triangle. 19. Triangle RST is similar to XYZ with RS = 3 inches and XY = 2 inches. If the area of RST is a 27 square inches, determine and state the area of XYZ, in square inches. 17. Triangle A is shown in the diagram below. 20. In the accompanying diagram of A, a right angle is at, A = 8, and A = 4. Find : A D. 4 If DE joins the midpoints of AD and AE, which statement is not true? A. DE = 1 2. DE. AD D = DE D. A AED 18. In the accompanying diagram of A, AF, AE, A, AE EF, F = 8, FA = 12, FE = 9, and = x. What is the value of x? 21. In A, altitude AD is drawn to base. If AD = 12, A = 15, and A = 13, what is? A D. 42 page 5 Similar Figures Review #2
6 22. Which set of numbers represents the lengths of the sides of a right triangle? A.. { 2, 6, 40 } { 4, 6, 40 }. {2, 18, 20} D. {4, 36, 40} 24. In the accompanying diagram of A, A = 6, = 8, and A = 12. Points X, Y, and Z are midpoints of A,, and A, respectively. Find the perimeter of quadrilateral XYZ. 23. Which set of numbers represents the lengths of the sides of a right triangle? A. {2, 3, 6}. {5, 5, 10}. {4, 5, 6} D. {5, 12, 13} 25. If two legs of a right triangle are 9 and 11, the hypotenuse is A D. 202 page 6 Similar Figures Review #2
7 Problem-Attic format version c EducAide Software Licensed for use by Dan Krolewski Terms of Use at A A 21 m Similar Figures Review #2 12/17/ A D D
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