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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The table shows the number of pages in the books in Box A and the number of pages in the books in Box B.Which statement is true about the data?

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T
The mean of Box A is greater than the mean of Box B.
T
The mean of Box B is greater than the mean of Box A.
T
The median of Box A is greater than the median of Box B.
T
The median of Box B is greater than the median of Box A.
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T
The data point for x = 1 is above the line of best fit.
T
The residual value for x = 3 should be a positive number because the data point is above the line of best fit.
F
Fiona made a subtraction error when she computed the residual value for x = 4.
T
The residual value for x = 2 should be a positive number because the given point is above the line of best fit.
T
The residual value for x = 3 is negative because the given point is below the line of best fit.
3

The frequency table shows the results of a survey comparing weekly gasoline costs to the average number of miles a car can drive on a gallon of gasoline.Marcel converts the frequency table to a conditional relative frequency table by row.Which value should he use for Y? Round to the nearest hundredth.

Question illustration
A
0.19
B
0.45
C
0.82
D
0.90
4

What is the range of the function f(x) = −(x + 3)2 + 7?

A
all real numbers less than or equal to 7
B
all real numbers greater than or equal to 7
C
all real numbers less than or equal to −3
D
all real numbers greater than or equal to −3
5

Which is the graph of the function f(x) = x2 + 2x + 3?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
6

Which points are vertices of the pre-image, rectangle ABCD? Select four options.

A
(–1, –2)
B
(7, 1)
C
(–1, 7)
D
(–1, 1)
E
(7, –2)
7

On a coordinate plane, 2 triangles are shown. Triangle A B C has points (negative 1, negative 1), (2, negative 1), and (negative 1, negative 5). Triangle R S T has points (1, 1), (1, 5), and (4, 1).

Question illustration
A
The figures are congruent. ΔRST can be mapped to ΔACB by a reflection over the x-axis and a translation 2 units to the left.
B
The figures are congruent. ΔRST can be mapped to ΔACB by a reflection over the y-axis and a translation 2 units down.
C
The figures are not congruent. Point R corresponds to point A, but S corresponds to B and T corresponds to C.
D
The figures are not congruent. Point R does not correspond with point A.
8

The graph shows the function that defines the shape of a piece of playground equipment.

Question illustration
A
8 ft
B
10 ft
C
16 ft
D
20 ft
9

Which part of the proof does the fourth statement and reason represent?Given: AB ≅ BCBC ≅ EF Prove: EG = AB + FG

Question illustration
A
It is part of the given information.
B
It is part of the argument.
C
It is the conclusion.
D
It is an assumption.
10

The ratio of the radii of two circles is 2:3. The diameter of the smaller circle is 15 mm. What is the length of the diameter of the larger circle?

A
10.00 mm
B
11.25 mm
C
22.50 mm
D
30.00 mm
11

A composition of transformations maps ΔKLM to ΔK"L"M".

Question illustration
A
a 90° rotation about point L
B
a 270° rotation about point L
C
a 90° rotation about point P
D
a 270° rotation about point P
12

f(x) = 2x – 1g(x) = 7x – 12What is h(x) = f(x) + g(x)?

A
h(x) = 9x – 13
B
h(x) = 9x – 12
C
h(x) = –5x + 11
D
h(x) = 5x – 13
13

The graph shows a distribution of data with a standard deviation of 6.

Question illustration
A
It is within 1 standard deviation of the mean.
B
It is within 2 standard deviations of the mean.
C
It is exactly 3 standard deviations from the mean.
D
It is exactly 4 standard deviations from the mean.
14

Triangles A B C and N M Q are shown. Sides B C and N M are congruent. Angles A B C and Q N M are congruent. Angles B C A and N M Q are both right angles.

Question illustration
A
A ≅ Q because of the third angle theorem.
Option A
B
AB ≅ QN because they are both opposite a right angle.
C
BC ≅ NM because it is given.
D
C ≅ M because right angles are congruent.
Option D
15

On a coordinate plane, 2 triangles are shown. Triangle A B C has points (negative 3, negative 1), (negative 1, 2), and (negative 5, 3). Triangle R S T has points (1, 1), (3, 4), and (5, 0).

Question illustration
A
ΔRST ≅ ΔACB
B
ΔRST ≅ ΔABC
C
ΔRST ≅ ΔBCA
D
ΔRST ≅ ΔBAC
16

Jack and Susie want to save to buy a trampoline for their children. They each open a savings account that earns 1.5% a year. Jack opens his account with $1,000, and Susie opens her account with $800. x = number of yearsThe following functions represent the value of the savings accounts in x years:Jack’s savings account: f(x) = 1000(1.015)xSusie’s savings account: g(x) = 800(1.015)x Which function represents the total amount Jack and Susie will save in x years?

A
200(1.015)x
B
1800(1.015)x
C
1800(1.015)2x
D
1800(1.030)x
17

The dimensions of a triangle are represented by the functions shown.

Question illustration
A
g(x) = 12x2 + 6x
B
g(x) = 12x2 – 6x
C
g(x) = 24x2 – 12x
D
g(x) = 12x – 6
18

The frequency table shows a set of data collected by a doctor for adult patients who were diagnosed with a strain of influenza. Which dot plot could represent the same data as the frequency table?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
19

Triangles D E F and D prime E prime F prime are connected at point E. Triangle D E F is rotated about point E to form triangle D prime E prime F prime.

Question illustration
A
dilation
B
reflection
C
rotation
D
translation
20

The table shows the height, in meters, of an object that is dropped as time passes until the object hits the ground.A line of best fit for the data is represented by h = –21.962x + 114.655. Which statement compares the line of best fit with the actual data given by the table?

Question illustration
A
According to the line of best fit, the object would have hit the ground 0.6 seconds later than the actual time the object hit the ground.
B
According to the line of best fit, the object was dropped from a lower height.
C
The line of best fit correctly predicts that the object reaches a height of 40 meters after 3.5 seconds.
D
The line of best fit predicts a height of 4 meters greater than the actual height for any time given in the table.

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