Ch. 7 Review Name ______Geometry Per. ______Date ______
Solve each proportion:1) 2)
/ 1. ______
2. ______
3) Draw a picture of the following scenario: The ratio of the measures of the sides of a triangle is 3:4:5, and its perimeter is 104 feet. Find the measure of each side. / 3. ______
4) A Worker at an automobile assembly plant checks new cars for defects. Of the first 280 cars he checks, 4 have defects. If 10,500 cars will be checked this month, predict the total number of cars that will have defects. / 4. ______
5) Determine with each pair of figures is similar. If so, write the similarity statement and scale factor (left to right).
/ 5. LMJK ~______
______:______
6) Each pair of polygons is similar. Find the value of x.
/ 6. ______
7) If ABCD~PQRS, find the scale factor of ABCD to PQRS and the perimeter of each polygon.
/ 7. ______
For questions 9-11, determine whether the two triangles are similar. If so, write a similarity statement and circle your justification.
8)
/ 8. ______~ ______
SSS SAS AA
9)
/ 9. ______~ ______
SSS SAS AA
10)
/ 10. ______~ ______
SSS SAS AA
11) Given the two triangles are similar, find x.
/ 11. ______
12) Identify the similar triangles. Then find, x, LM, QP
/ 12. ______~ ______
x = ______
LM = ______
QP = ______
13) Find x. / 13. ______
14) is a midsegment of Find x
/ 14. ______
15) Sarah is trying out for student body president and needs to create a poster for her campaign. Her original poster is on ¼ -inch grid paper (1/4 -inch squares). She wants transfer it onto 8 -inch grid paper to post around the school. How much bigger will the new poster be than the original? / 15. ______
16) An artist creates garden statues of ducks. The ratio of the height of the statues to the actual duck is 3:5. If the statue is 8 inches high, find the height of the duck. / 16. ______