Download Chapter 6 Review - Moore Public Schools

Chapter 6 Review
1. Solve for x given
=
and
Assume B is the midpoint of
midpoint of
=
.
and D is the
6. Find the geometric mean of 36 and 4.
7. The measures of the angles of a triangle are in the
extended ratio of 7 : 9 : 10. Find the measures of
the angles of the triangle.
C
8. Given that
, find AB to the nearest tenth.
The figure is not drawn to scale.
B
A
D
E
a. 1
b. 2
c.
1

2
d. 1
a.
b.
c.
d.
2. A national forest service wanted to estimate the
number of deer in a particular national park. They
caught and tagged 61 deer and released them back
into the park. Later they selected a sample of 165
deer. Of the 165 deer, 11 were tagged. Assuming
that the proportion of tagged deer in the sample
holds for all deer in the forest, what is the best
estimate of the number of deer in the park?
a. 327
b. 20,130
c. 915
d. 1,917
3. Assume the exchange rate of Canadian dollars to
American dollars is 1 to 0.77. If a stove costs
$529.50 in Canadian dollars, then what would its
price be in American dollars?
a. $407.72
b. $452.50
c. $687.66
d. $506.50
4. The geometric mean of 5 and 15 is ______.
5.
Solve the proportion
.
20.2
16.9
14.7
18.0
9. Given that
solve for x and y.
a.
b.
c.
d.
10. The perimeter of PQR is 56, PQ = 16, PQR
STU, and ST = 24. What is the perimeter of
STU?
a. 6.9
b. 42
c. 24.3
d. 84
11. Two ladders are leaning against a wall at the same angle as shown.
How far up the wall does the shorter ladder reach?
a. 16 ft
b. 18 ft
c. 22 ft
12. Karen wants to measure the height of the streetlight
14.
outside her house. She places a mirror on the
ground 46 feet from the streetlight, then walks
backward until she is able to see the top of the
streetlight in the mirror. Her eyes are 5.7 feet above
15.
the ground, and she is 15 feet from the mirror.
What is the height of the streetlight to the nearest
tenth of a foot?
a. 17.5
b. 121.1
c. 122.6
d. 15.8
16.
13. Sadie wants to find the height of the tallest building
in her city. She stands 130 feet away from the
building. There is a tree 37 feet in front of her,
which she knows is 17 feet tall. How tall is the
building? (Round to the nearest foot.)
d. 36 ft
One way to show that two triangles are similar is to
show that ______.
a. two angles of one are congruent to two angles
of the other
b. two sides of one are proportional to two sides
of the other
c. a side of one is congruent to a side of the other
d. an angle of one is congruent to an angle of the
other
17. Shown below is an illustration of the ______.
Determine whether the triangles are similar. If
the are, write a similarity statement.
a.
b.
c.
d.
AA Similarity Postulate
SAS Congruence Theorem
SSS Similarity Theorem
SAS Similarity Theorem
18. The postulate or theorem that can be used to prove
that the two triangles are similar is _____.
a.
b.
c.
d.
2.2
22.5
0.5
19.0
22. If ABC ~ PBQ, then which of the following
proportions is NOT true?
a.
b.
c.
d.
SAS Similarity Theorem
ASA Congruence Theorem
SSS Similarity Theorem
AA Similarity Postulate
Tell whether each pair of triangles is similar.
Explain your reasoning.
19.
a.
b.
20. Given:
. Find the length of
.
c.
d.
23. Given
a.
b.
c.
d.

. Solve for x.
17
19
12
15
21. Find the value of x to one decimal place.
The polygons in each pair are similar. Find the
value of each variable.
24.
25. In the diagram
lengths to find the length of
. Use the given side
.
Draw the image of the given figure after a
dilation with center O and the given scale factor.
28. scale factor: 2
26. The dashed triangle is the image of the solid
triangle for a dilation with center at the origin.
What is the scale factor?
y
10
29. scale factor:
–10
10
x
–10
a. 4
b. 3
c. 1
4
d. 1
3
27. Graph
with J (1, –1) and K (2, 2). Then graph
its dilation using the origin as the center and a scale
factor of 2.
30. Every day, a random sample of 275 computer
memory chips produced by a factory is tested to see
if the chips meet their minimum speed ratings for
certain operations. If 2 of the chips failed the test on
a day when 20,500 chips were made, which is the
best estimate of the number of memory chips made
that day that are likely to meet the minimum speed
ratings for those operations?
a. 19,330
b. 150
c. 20,350
d. 160
Chapter 6 Review
Answer Section
1. ANS: B
PTS: 1
DIF: Level B
REF: PHGM0015
TOP: Lesson 5.1 Midsegment Theorem and Coordinate Proof
KEY: triangle | midsegment
BLM: Application NOT: 978-0-618-65613-4
2. ANS: C
PTS: 1
DIF: Level B
REF: DDCM0727
NAT: NCTM 9-12.PRS.2
STA: OK.PASS.MTH.02.9-12.1.1 | OK.PASS.MTH.02.9-12.3.1 | OK.PASS.MTH.02.9-12.4.3 |
OK.PASS.MTH.07.GEO.3.3
TOP: Lesson 6.1 Ratios, Proportions, and Geometric Mean
KEY: ratio | word | proportion
BLM: Application NOT: 978-0-618-65613-4
3. ANS: A
PTS: 1
DIF: Level B
REF: HLGM0610
NAT: NCTM 9-12.PRS.2
STA: OK.PASS.MTH.02.9-12.1.1 | OK.PASS.MTH.02.9-12.3.1 | OK.PASS.MTH.02.9-12.4.3 |
OK.PASS.MTH.07.GEO.3.3
TOP: Lesson 6.1 Ratios, Proportions, and Geometric Mean
KEY: solve | word | proportion
BLM: Application NOT: 978-0-618-65613-4
4. ANS:
PTS: 1
DIF: Level A
REF: HLGM0612
TOP: Lesson 6.1 Ratios, Proportions, and Geometric Mean
BLM: Knowledge NOT: 978-0-618-65613-4
5. ANS:
KEY: geometric | mean
PTS: 1
DIF: Level B
REF: HLGM0595
TOP: Lesson 6.1 Ratios, Proportions, and Geometric Mean
KEY: solve | proportion
BLM: Comprehension
NOT: 978-0-618-65613-4
6. ANS:
12
PTS: 1
DIF: Level B
REF: XEGS0902
TOP: Lesson 6.1 Ratios, Proportions, and Geometric Mean
BLM: Knowledge NOT: 978-0-618-65613-4
7. ANS:
PTS:
TOP:
BLM:
8. ANS:
STA:
KEY:
NOT:
9. ANS:
NAT:
STA:
TOP:
KEY: geometric mean
1
DIF: Level B
REF: 7f503d1a-cdbb-11db-b502-0011258082f7
Lesson 6.1 Ratios, Proportions, and Geometric Mean
KEY: Extended ratio
Knowledge NOT: 978-0-618-65613-4
D
PTS: 1
DIF: Level B
REF: MIM10385
OK.PASS.MTH.07.GEO.2.4.b
TOP: Lesson 6.2 Use Proportions to Solve Geometry Problems
proportion | triangle | length | missing
BLM: Comprehension
978-0-618-65613-4
A
PTS: 1
DIF: Level B
REF: MLA10071
NCTM 9-12.GEO.1.b
OK.PASS.MTH.07.GEO.2.4.a | OK.PASS.MTH.07.GEO.2.4.b | OK.PASS.MTH.07.GEO.4.2.a
Lesson 6.3 Use Similar Polygons
KEY: solve | proportion | similar | triangle
BLM: Comprehension
NOT: 978-0-618-65613-4
10. ANS: D
PTS: 1
DIF: Level B
REF: MLGE0374
NAT: NCTM 9-12.GEO.1.b
STA: OK.PASS.MTH.07.GEO.2.3.d | OK.PASS.MTH.07.GEO.2.4.a | OK.PASS.MTH.07.GEO.2.4.b |
OK.PASS.MTH.07.GEO.4.1.b | OK.PASS.MTH.07.GEO.4.2.a TOP: Lesson 6.3 Use Similar Polygons
KEY: proportion | similar | triangle
BLM: Comprehension
NOT: 978-0-618-65613-4
11. ANS: B
PTS: 1
DIF: Level B
REF: MLGE0412
NAT: NCTM 9-12.GEO.1.b
STA: OK.PASS.MTH.07.GEO.2.4.a | OK.PASS.MTH.07.GEO.2.4.b | OK.PASS.MTH.07.GEO.4.2.a
TOP: Lesson 6.4 Prove Triangles Similar by AA
KEY: ratio | model | similar | triangle
BLM: Application NOT: 978-0-618-65613-4
12. ANS: A
PTS: 1
DIF: Level C
REF: BMGM0601
NAT: NCTM 9-12.PRS.2
STA: OK.PASS.MTH.02.9-12.1.1 | OK.PASS.MTH.02.9-12.3.1 | OK.PASS.MTH.02.9-12.4.3 |
OK.PASS.MTH.07.GEO.3.3
TOP: Lesson 6.4 Prove Triangles Similar by AA
KEY: word | similar | triangle
BLM: Application NOT: 978-0-618-65613-4
13. ANS:
60 ft
PTS: 1
DIF: Level B
REF: MLGE0423 NAT: NCTM 9-12.GEO.1.b
STA: OK.PASS.MTH.07.GEO.2.4.a | OK.PASS.MTH.07.GEO.2.4.b | OK.PASS.MTH.07.GEO.4.2.a
TOP: Lesson 6.4 Prove Triangles Similar by AA
KEY: word | similar | triangle
BLM: Application NOT: 978-0-618-65613-4
14. ANS:
Similar;
PTS: 1
DIF: Level B
REF: 7fa4226d-cdbb-11db-b502-0011258082f7
TOP: Lesson 6.4 Prove Triangles Similar by AA
KEY: AA Similarity
BLM: Knowledge NOT: 978-0-618-65613-4
15. ANS:
Similar;
16.
17.
18.
19.
PTS: 1
DIF: Level B
REF:
TOP: Lesson 6.4 Prove Triangles Similar by AA
BLM: Knowledge NOT: 978-0-618-65613-4
ANS: A
PTS: 1
DIF:
STA: OK.PASS.MTH.07.GEO.2.4.a
TOP:
KEY: similar | triangle | rule
BLM:
ANS: D
PTS: 1
DIF:
STA: OK.PASS.MTH.07.GEO.2.4.a
TOP:
KEY: triangle | SAS
BLM:
ANS: D
PTS: 1
DIF:
STA: OK.PASS.MTH.07.GEO.2.4.a
TOP:
KEY: similar | triangle | AAA
BLM:
ANS:
Yes; SAS Similarity Theorem
7fa5d0b2-cdbb-11db-b502-0011258082f7
KEY: AA Similarity
Level B
REF: HLGM0641
Lesson 6.5 Prove Triangles Similar by SSS and SAS
Knowledge NOT: 978-0-618-65613-4
Level B
REF: HLGM0654
Lesson 6.5 Prove Triangles Similar by SSS and SAS
Knowledge NOT: 978-0-618-65613-4
Level A
REF: HLGM0655
Lesson 6.5 Prove Triangles Similar by SSS and SAS
Knowledge NOT: 978-0-618-65613-4
PTS: 1
DIF: Level C
REF: BS022351
NAT: NCTM 9-12.GEO.1.b
STA: OK.PASS.MTH.07.GEO.2.4.a | OK.PASS.MTH.07.GEO.2.4.b
20.
21.
22.
23.
TOP:
BLM:
ANS:
STA:
KEY:
NOT:
ANS:
STA:
KEY:
ANS:
STA:
KEY:
NOT:
ANS:
6
Lesson 6.5 Prove Triangles Similar by SSS and SAS
KEY: similar | triangle | TEKSf1 | SAS
Comprehension
NOT: 978-0-618-65613-4
D
PTS: 1
DIF: Level B
REF: PHGM1023
OK.PASS.MTH.07.GEO.2.4.b
TOP: Lesson 6.6 Use Proportionality Theorems
proportion | similar | triangle | parallel | side-splitter
BLM: Knowledge
978-0-618-65613-4
D
PTS: 1
DIF: Level B
REF: HLGM0666
OK.PASS.MTH.07.GEO.2.4.b
TOP: Lesson 6.6 Use Proportionality Theorems
proportion | similar | triangle
BLM: Knowledge NOT: 978-0-618-65613-4
B
PTS: 1
DIF: Level B
REF: HLGM0665
OK.PASS.MTH.07.GEO.2.4.b
TOP: Lesson 6.6 Use Proportionality Theorems
proportion | similar | triangle
BLM: Comprehension
978-0-618-65613-4
PTS: 1
DIF: Level B
REF: MLGM0049 STA: OK.PASS.MTH.07.GEO.2.4.b
TOP: Lesson 6.6 Use Proportionality Theorems
KEY: similar | triangle | parallel
BLM: Knowledge NOT: 978-0-618-65613-4
24. ANS:
x = 12, y = 6
PTS: 1
DIF: Level B
REF: BS022343
TOP: Lesson 6.6 Use Proportionality Theorems
BLM: Knowledge NOT: 978-0-618-65613-4
25. ANS:
PTS:
STA:
TOP:
KEY:
BLM:
26. ANS:
TOP:
BLM:
27. ANS:
STA: OK.PASS.MTH.07.GEO.2.4.b
KEY: variable | similar | polygon | triangle
1
DIF: Level B
REF: GEO.06.06.FR.11
OK.PASS.MTH.02.9-12.2.3 | OK.PASS.MTH.07.GEO.2.4.b
Lesson 6.6 Use Proportionality Theorems
Free Response | angle bisector | proportionality theorems | triangle
Comprehension
NOT: 978-0-618-65613-4
B
PTS: 1
DIF: Level B
REF: MLGE0149
Lesson 6.7 Perform Similarity Transformations
KEY: dilation
Knowledge NOT: 978-0-618-65613-4
PTS:
NAT:
TOP:
KEY:
NOT:
28. ANS:
1
DIF: Level B
REF: MLGE0418
NCTM 9-12.GEO.4.a | NCTM 9-12.GEO.2.a | NCTM 9-12.GEO.3.a
Lesson 6.7 Perform Similarity Transformations
graph | coordinate | segment | scale factor | dilation
BLM: Comprehension
978-0-618-65613-4
PTS: 1
DIF: Level B
REF: BS022333
TOP: Lesson 6.7 Perform Similarity Transformations
BLM: Knowledge NOT: 978-0-618-65613-4
29. ANS:
NAT: NCTM 9-12.GEO.3.a
KEY: triangle | scale factor | dilation
PTS: 1
DIF: Level B
REF: BS022334
NAT: NCTM 9-12.GEO.3.a
TOP: Lesson 6.7 Perform Similarity Transformations
KEY: quadrilateral | scale factor | dilation
BLM: Knowledge NOT: 978-0-618-65613-4
30. ANS: C
PTS: 1
DIF: Level B
REF: MC100183
NAT: NCTM 9-12.PRS.2
STA: OK.PASS.MTH.02.9-12.1.1 | OK.PASS.MTH.02.9-12.3.1 | OK.PASS.MTH.02.9-12.4.3 |
OK.PASS.MTH.07.GEO.3.3
TOP: Lesson 6.1 Ratios, Proportions, and Geometric Mean
KEY: word | proportion | real-life | sample | predict
BLM: Application
NOT: 978-0-618-65613-4