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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21
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Figure PQRS is a parallelogram.

Question illustration
A
∠P = 20°; ∠S = 160°
B
∠P = 40°; ∠S = 140°
C
∠P = 140°; ∠S = 40°
D
∠P = 160°; ∠S = 20°
22
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A prism has 2 congruent hexagonal bases like the one shown. Each hexagon is made from 2 congruent isosceles trapezoids.

Question illustration
A
3 units
B
4 units
C
6 units
D
8 units
23

Consider kite FGHJ.

Question illustration
A
a = 14, b = 6
B
a = 14, b = 8
C
a = 17, b = 6
D
a = 17, b = 8
24

Circle Y is shown. Chords R T and S U intersect at point Z. Arc S R is 100 degrees and arc T U is 72 degrees.

Question illustration
A
86°
B
94°
C
108°
D
128°
25

A circular disc has an area that measures between 1,650 and 1,700 square inches.What could be the length of its radius? Use 3.14 for .

Question illustration
A
23 in.
B
24 in.
C
25 in.
D
26 in.
26

Triangle FGH is an equilateral triangle with sides measuring units.

Question illustration
A
17 units
B
34 units
C
51 units
D
68 units
27

Triangle A B C is shown. Angle B C A is a right angle. The length of C B is 5 inches and the length of C A is 7 inches.

Question illustration
A
1.4° and 88.6°
B
18.6° and 71.4°
C
35.5° and 54.5°
D
44.4° and 45.6°
28

Consider quadrilateral EFGH.

Question illustration
A
5 units
B
7 units
C
16 units
D
24 units
29

Quadrilateral W X Y Z is shown. The length of W X is (x + 8) millimeters, the length of X Y is (2 x minus 5) millimeters, the length of Z Y is 15 millimeters, and the length of W Z is (x + 2) millimeters.

Question illustration
A
WXYZ can be a parallelogram with one pair of sides measuring 15 mm and the other pair measuring 9 mm.
B
WXYZ can be a parallelogram with one pair of sides measuring 15 mm and the other pair measuring 7 mm.
C
WXYZ cannot be a parallelogram because there are three different values for x when each expression is set equal to 15.
D
WXYZ cannot be a parallelogram because the value of x that makes one pair of sides congruent does not make the other pair of sides congruent.
30

In circle O, AC and BD are diameters.

Question illustration
A
72°
B
108°
C
120°
D
144°
31

On a coordinate plane, triangles A B C and D E F are shown. Triangle A B C has points (4, 2), (7, 2), (4, 6). Triangle D E F has points (negative 2, negative 1), (4, negative 3), and (4, negative 1).

Question illustration
A
The area of △ABC is 1 square unit less than the area of △DEF.
B
The area of △ABC is equal to the area of △DEF.
C
The area of △ABC is 1 square unit greater than the area of △DEF.
D
The area of △ABC is 2 square units greater than the area of △DEF.
32

The hypotenuse of right triangle ABC, line segment AC, measures 13 cm. The length of line segment BC is 5 cm.

A
34.8°
B
44.8°
C
46.3°
D
47.9°
33

The distance between city A and city B is 22 miles. The distance between city B and city C is 54 miles. The distance between city A and city C is 51 miles.

A
an acute triangle, because 222 + 542 >512
B
an acute triangle, because 222 + 512 >542
C
an obtuse triangle, because 222 + 542 >512
D
an obtuse triangle, because 222 + 512 >542
34

Triangle ABC is a right triangle and sin(53o) = . Solve for x and round to the nearest whole number.

Question illustration
A
cos(53o) =
Option A
B
cos(53o) =
Option B
C
cos(53o) =
Option C
D
cos(53o) =
Option D
35

Which measurements are correct? Select two options.

A
m = 60°
Option A
B
m = 120°
Option B
C
m = 180°
Option C
D
m∠XWZ = 60°
E
m∠YWZ = 120°
36

Parallelogram L M N O is shown. Angle N is (5 x) degrees and angle L is (3 x + 40) degrees.

Question illustration
A
20°
B
60°
C
80°
D
100°
37

Triangles Q R S and X Y Z are shown. Angles Q S R and X Z Y are right angles. Angles Q R S and X Y Z are congruent. The length of Y Z is 9, the length of X Z is 12, and the length of hypotenuse X Y is 15.

Question illustration
A
Three-fifths
Option A
B
Three-fourths
Option B
C
Four-fifths
Option C
D
Four-thirds
Option D
38

Segment MP is a diameter of circle O.

Question illustration
A
m + 150 = 180
Option A
B
m + 150 = 360
Option B
C
m – 150 = 180
Option C
D
m – 150 = 360
Option D
39

Circle Y is shown. Chords R T and S U intersect at a point. Arc S R is 55 degrees and the angle that intercepts that arc is 63 degrees.

Question illustration
A
59°
B
67°
C
71°
D
118°
40

What is the radius of a circle whose equation is x2+y2−10x+6y+18=0?

A
2 units
B
4 units
C
8 units
D
16 units

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