AnswersMathematics for College Liberal Arts Sem 2 1207350 BCPS 2026-27Area of Triangles and Parallelograms

Area of Triangles and Parallelograms — Cumulative exam Answers

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1
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The radius and circumference of several objects were measured.

Question illustration
A
It is a weak positive correlation, and it is not likely causal.
B
It is a weak positive correlation, and it is likely causal.
C
It is a strong positive correlation, and it is not likely causal.
D
It is a strong positive correlation, and it is likely causal.
2
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What additional information could be used to prove ΔABC ≅ ΔMQR using SAS? Select two options.

A
m∠A = 64° and AB = MQ = 31 cm
B
CB = MQ = 29 cm
C
m∠Q = 56° and CB ≅ RQ
D
m∠R = 60° and AB ≅ MQ
E
AB = QR = 31 cm
3

Priya is playing a game where she earns online badges for scoring higher than the mean score on a level. After the tenth level, she scores 3,540 points, which is 2 standard deviations above the mean score of 3,110 points.

A
215
B
311
C
354
D
430
4

The table shows the maze-completion times, in seconds, of two sets of mice in an experiment. Which statement is true about the variability of the group times?

Question illustration
A
The times in Group A have a greater standard deviation.
B
The times in Group A have a greater median.
C
The times in Group B have a greater interquartile range.
D
The times in Group B have a greater mean.
5

Given that D is the midpoint of AB and B is the midpoint of AC, which statement must be true?

Question illustration
A
AD = AC
Option A
B
AC = 4DB
C
AB + DC = AC
D
BK = KC
6

Ava graphs the function h(x) = x2 + 4. Victor graphs the function g(x) = (x + 4)2. Which statements are true regarding the two graphs? Select three options.Ava’s graph is a vertical translation of f(x) = x2.Victor’s graph is a vertical translation of f(x) = x2.Ava’s graph moved 4 units from f(x) = x2 in a positive direction.Victor’s graph moved 4 units from f(x) = x2 in a positive direction.Ava’s graph has a y-intercept of 4.

A
Ava’s graph is a vertical translation of f(x) = x2.
B
Victor’s graph is a vertical translation of f(x) = x2.
C
Ava’s graph moved 4 units from f(x) = x2 in a positive direction.
D
Victor’s graph moved 4 units from f(x) = x2 in a positive direction.
E
Ava’s graph has a y-intercept of 4.
7

Which number is missing in the table of values below?xy01162363?41,296

A
108
B
216
C
324
D
648
8

The rule is applied to ΔBCD to produce ΔB"C"D". Point B" of the final image is at (–4, 1).

Question illustration
A
(–2, –5)
B
(0, –5)
C
(2, 3)
D
(5, 0)
9

The box plot compares Marta’s and Ani’s diving scores in the first several meets of the season.Based on the data in the box plots, what is the best evidence to show which diver had greater overall success during the meets so far this season?

Question illustration
A
Ani was more successful because she had an outlier.
B
Marta was more successful because she received the highest score.
C
Ani was more successful because she had the greater measure of center.
D
Marta was more successful because she had the greater total spread.
10

The graph of which function has a minimum located at (4, –3)?

A
f(x) = x2 + 4x – 11
Option A
B
f(x) = –2x2 + 16x – 35
C
f(x) = x2 – 4x + 5
Option C
D
f(x) = 2x2 – 16x + 35
11

On a coordinate plane, a triangle has points A prime (negative 2, 10), B prime (negative 6, 4), and (negative 10, 8).

Question illustration
A
(10, –2)
B
(–10, 2)
C
(–2, –10)
D
(2, 10)
12

The histogram shows the weights, in pounds, of checked luggage on a flight.

Question illustration
A
The mean is most likely less than 27 pounds.
B
The mean is most likely exactly 27.5 pounds.
C
The mean is most likely about 28 pounds.
D
The mean is most likely more than 28 pounds.
13

Triangle EFG is transformed to create triangle E'F'G'.

Question illustration
A
translation
B
stretch
C
rotation
D
reflection
14

Triangle JKL is transformed to create triangle J'K'L'. The angles in both triangles are shown.J = 90° J' = 90°K = 65° K' = 65°L = 25° L' = 25°

Question illustration
A
It is a rigid transformation because the pre-image and image have the same corresponding angle measures.
B
It is not a rigid transformation because the corresponding side lengths are not equal.
C
It can be a rigid or a nonrigid transformation depending on whether the corresponding side lengths have the same measures.
D
It can be a rigid or a nonrigid transformation because a pair of corresponding angles measures 90°.
15

Which distance measures 5 units?

Question illustration
A
the distance between points W and X
B
the distance between points X and Y
C
the distance between points X and Z
D
the distance between points Y and Z
16

Triangle N L M is reflected over a line to form triangle A B C.

Question illustration
A
ΔNLM ≅ ΔCAB
B
ΔNLM ≅ ΔCBA
C
ΔNLM ≅ ΔBCA
D
ΔNLM ≅ ΔBAC
17

The ratio of the circumferences of two circles is 2:3. If the large circle has a radius of 39 cm, what is the radius of the small circle?

A
19.5 cm
B
26 cm
C
58.5 cm
D
117 cm
18

The histogram shows the duration, in minutes, of movies in theaters.

Question illustration
A
The mean is less than the median.
B
The median is less than the mean.
C
The mean is equal to the median.
D
The median and mean cannot be compared from a histogram.
19

A line segment has endpoints at (3, 2) and (2, –3). Which reflection will produce an image with endpoints at (3, –2) and (2, 3)?

A
a reflection of the line segment across the x-axis
B
a reflection of the line segment across the y-axis
C
a reflection of the line segment across the line y = x
D
a reflection of the line segment across the line y = –x
20

congruencesymmetricreflexivetransitive

A
congruence
B
symmetric
C
reflexive
D
transitive

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