Review for Chapter 6 Test
Name ________________________
Geometry CP
Date _________________________
1. The scale drawing of a porch is 8 inches wide by 12 inches long. If the actual
porch is 12 feet wide, find the length of the porch.
2. Solve
5
4

6 x2
3. A quality control technician checked a sample of 30 light bulbs. Two of the bulbs
were defective. If the sample was representative, find the number of bulbs
expected to be defective in a case of 450.
4. 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.
5. In ABC, AB = 18 and BC = x – 2. In JKL, JK = 6 and KL = 9. Find x if
ABC~JKL.
6. Quadrilateral ABCD ~ quadrilateral PQRS. If AB = 10, BC = 6, PS = 12, and
QR = 4, find the scale factor of ABCD to PQRS.
7. ABCD ~ EFGH with D  4x , E  80 , F  120 , G  60 , and
H  100 . Find x.
8. If two figures are similar, their corresponding angles are ___________________
and their corresponding sides are _______________________.
9. Determine whether each statement is always, sometimes, or never true.
a. Two congruent triangles are similar.
b. Two squares are similar.
c. Two isosceles triangles are similar.
d. Two rectangles are similar.
e. Two obtuse triangles are similar.
f. Two equilateral triangles are similar.
10. Name all the ways in which two triangles can be proven similar.
11. Use the diagram below to answer the questions.
ML  6 ; NQ  9 ; PQ  8 ; mM  35 ; mQ  35
P
M
N
L
Q
a. Justify why MNL~QNP.
b. Find MN.
12. In ABC, AB = 5, BC = 12, and AC = 13. Which of the following triangles is
similar to ABC?
a. A triangle with sides 3, 5, and 12
b. A triangle with sides 15, 36, and 39
c. A triangle with sides 10, 22, and 24
d. A triangle with sides 3, 4, and 5
13. Justify your reasoning in number 12.
14. In ABC, DE is parallel to AC . If AD = 12, BD = 3, and CE = 10, find BE.
A
D
C
E
B
15. Find x and y.
2x + 4
3y
3x – 1
2y + 2
16. Define Midsegment of a Triangle.
17. Triangle EFG has vertices E (-4, -1), F(2, 5), and G (2, -1). Point K is the
midpoint of EG and H is the midpoint of FG .
a. Find the coordinates of K and H.
b. Show that EF is parallel to KH .
c. Show that KH 
1
EF
2
18. If FGH ~ PQR, FG = 6, PQ =10, and the perimeter of PQR is 35, find the
perimeter of FGH.
19. LMN ~ XYZ with altitudes KL and WX . Find KL if LN = 28, WX = 3 and
XZ = 12.
20. Find x.
x
16
9
10
12