Chapter 7 Review
1. If quadrilateral ABCD quadrilateral PQRS, find BC.
2. Of the 300 television sets sold at an electronics store last month, 90 were flat-screen TVs. What is the ratio of flatscreen TVs to other TVs sold last month?
3. If
ABC
EFG and
and
a re medians, find BD.
4. Given T(3, –1), U(1, –7), V(8, –5), W(2, 6), X(–4, 8), and Y(–2, 1), determine whether
. Explain.
5. When a 9-foot tall garden shed cast a 5-foot 3-inch shadow, a house cast a 28-foot shadow. Find the height of the
house.
6. Identify the similar triangles in the figure, then find the value of x.
7. Bonus Find EG.
8. Determine whether trapezoid ABCD trapezoid PQRS. Justify your answer.
9. In an orchard of apple and peach trees,
of the trees are peaches. What is the ratio of apple trees to peach trees?
Use the figure below to answer the following questions.
10. Identify the similar triangles.
For the following questions,
FGH
JKL.
Chapter 7 Review
11. Find the ratio of the perimeter of
12. Find the value of y so that
FGH to the perimeter of
JKL.
.
13. If quadrilateral DEFG quadrilateral WXYZ, find m Y.
14. Two parallel lines are cut by a transversal,
and
.
15. Find
16.
ABC
and
are adjacent angles,
, and
. Find
.
JKL, AB = 12, BC = 18.4, KL = 6.9, and JL = 5.6. Find the scale factor of
ABC to
JKL.
17. The ratio of the measures of the sides of a triangle is 2:5:6. If the length of the longest side is 48 inches, find the
perimeter.
18.
is an altitude of
19. If
ABC
20. Find m
XYZ, find y.
I.
. Find the value of y.
Chapter 7 Review
Answer Key
1. 18.2
2. 3:7
3. 9
4. congruent;
5. 48 ft
6.
;8
7. 7
8. No; corr. sides are not proportional
9. 4:3
10.
XYZ
11.
12. 3
13. 85
14.
15. m∡2=128°
16.
17. 104 in.
18. 85.5
19. 5
20. 82
XNM