AnswersGeometry - Semester 1 PathwaysTriangle Congruence: SSS and HL

Triangle Congruence: SSS and HL — Cumulative exam Answers

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A prism has 2 congruent hexagonal bases like the one shown. Each hexagon is made from 2 congruent isosceles trapezoids.

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A
3 units
B
4 units
C
6 units
D
8 units
42
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Triangle FGH is an equilateral triangle with sides measuring units.

Question illustration
A
17 units
B
34 units
C
51 units
D
68 units
43

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°
44

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°
45

Which statements about the design are true? Select three options.

A
Each sprinkler head is placed more than 3 feet from the walkway.
B
If two additional sprinkler heads are placed on the lawn, every square foot of the yard would be watered.
C
The total area watered by each sprinkler is approximately 63.6 square feet.
D
The total area watered by all the sprinklers is approximately 254 square feet.
E
If the sprinklers were placed in two straight lines on the yard, they would water a greater amount of the lawn.
46

Which expression is equivalent to cos120°?

A
°
Option A
B
cos240°
C
cos300°
D
cos420°
47

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
48

Circle R is shown. Line segments Q R and S R are radii. The length of Q R is 18. Sector Q R S is shaded.

Question illustration
A
36
Option A
B
72
Option B
C
144
Option C
D
324
Option D
49

A survey was taken of children between the ages of 3 and 7. Let A be the event that the person has 2 siblings, and let B be the event that the person does not have a pet.

Question illustration
A
A and B are independent events because P(A∣B) = P(A) = 0.18.
B
A and B are independent events because P(A∣B) = P(A) = 0.4.
C
A and B are not independent events because P(A∣B) = 0.4 and P(A) = 0.18.
D
A and B are not independent events because P(A∣B) = 0.18 and P(A) = 0.4.
50

Consider the sets below.U = {x | x is a real number}A = {x | x is an odd integer}R = {x | x = 3, 7, 11, 27}Is R ⊂ A?

A
yes, because all the elements of set A are in set R
B
yes, because all the elements of set R are in set A
C
no, because each element in set A is not represented in set R
D
no, because each element in set R is not represented in set A

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