AnswersCR CCSS Math 2 S2 M2960OXSolving for Angle Measures of Right Triangles

Solving for Angle Measures of Right Triangles — Cumulative exam Answers

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Triangles A B C and E D C are shown. Triangle A B C is rotated about point C to form triangle E D C.

Question illustration
A
a rotation about point B
B
a reflection across the line containing CB
C
a reflection across the line containing AC
D
a rotation about point C
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Jace is making a water play table from a triangular table top. He sketched a dotted line to show where he wants to add a circular water bowl. It should go all the way to the edges of the table as shown.

Question illustration
A
He should find the midpoint of each edge of the table.
B
He should bisect each of the angles at the vertices of the triangular table top.
C
He should draw perpendicular lines through any point along the edges of the table.
D
He should draw perpendicular line segments from each corner to the opposite edge of the table.
63

Rectangle ABCD was dilated to create rectangle A'B'C'D' using point R as the center of dilation.

Question illustration
A
3 units
B
5 units
C
6 units
D
9 units
64

What is the format of this proof?Given: ∠ABC is a right angle, ∠DBC is a straight angleProve: ∠ABD is a right angle

Question illustration
A
two-column proof
B
two-paragraph proof
C
flowchart proof
D
one-paragraph proof
65

Lines P S and W T are horizontal and parallel. Lines V R and Q R are diagonal and intersect lines P S and W T to form triangle X Y Z.

Question illustration
A
∠RXZ and ∠YXZ
B
∠PXQ and ∠RXS
C
∠YZX and ∠UZT
D
∠WZX and ∠XYZ
66

Angles 1 and 2 are supplementary.

Question illustration
A
m1 + m2 = 90°
Option A
B
m1 + m2 = 100°
Option B
C
m1 + m2 = 180°
Option C
D
m1 + m2 = 200°
Option D
67

Which diagram has all the correct lines of reflectional symmetry for the rectangle?

A
A rectangle is folded diagonally on both corners.
Option A
B
A rectangle is folded by a vertical and horizontal line going through its center.
Option B
C
A rectangle is folded 4 ways. It is folded horizontally, vertically, and diagonally on both corners.
Option C
D
A rectangle is folded 4 ways. It is folded diagonally at each midpoint of every side.
Option D
68

Four lines extend from point K. The space between lines K J and K N is 58 degrees. The space between lines K N and K M is 61 degrees. The space between lines K M and K L is 61 degrees.

Question illustration
A
Point K is a midpoint of .
Option A
B
mJKN = mJKM
Option B
C
Ray KM is an angle bisector of NKL.
Option C
D
JK = KL
Option D
69

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.
70

Two parallel lines, e and f, are crossed by two transversals.

Question illustration
A
m15 = 77°
Option A
B
m15 = 83°
Option B
C
m15 = 93°
Option C
D
m15 = 97°
Option D
71

A garden is designed in the shape of a rhombus formed from 4 identical 30°-60°-90° triangles. The shorter distance across the middle of the garden measures 30 feet.

Question illustration
6
60 ft
f
ft
Option f
1
120 ft
f
ft
Option f
72

A horizontal line has points A , E, D. A line extends vertically from point E to point C and forms a right angle at C E D. A line extends up and to the left from point E to point B.

Question illustration
A
∠CED measures 45°.
B
∠CED measures 180°.
C
∠AEC measures 90°.
D
∠AEC measures 45°.
73

Which defines a line segment?

A
two rays with a common endpoint
B
a piece of a line with two endpoints
C
a piece of a line with one endpoint
D
all points equidistant from a given point
74

The converse of a conditional statement is "If the sum of the exterior angles of a figure is 360°, then the figure is a polygon.”What is the inverse of the original conditional statement?

A
If a figure is a polygon, then the sum of the exterior angles is 360°.
B
If the sum of the exterior angles of a figure is not 360°, then the figure is not a polygon.
C
If the sum of the exterior angles of a figure is 360°, then the figure is not a polygon.
D
If a figure is not a polygon, then the sum of the exterior angles is not 360°.
75

To graph the equation 2x + 5y = 10, Zeplyn draws a line through the points (5, 0) and (0, 2). What is the slope of the line represented by 2x + 5y = 10?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
76

Two parallel lines are crossed by a transversal.

Question illustration
A
g = 75
B
g = 80
C
g = 100
D
g = 105
77

The proof that UX ≅ SV is shown.Given: △STU an equilateral triangle∠TXU ≅ ∠TVSProve: UX ≅ SVWhat is the missing statement in the proof?StatementReason1. ∠TXU ≅ ∠TVS1. given2. ∠STV ≅ ∠UTX2. reflex. prop.3. △STU is an equilateral triangle3. given4. ST ≅ UT4. sides of an equilat. △ are ≅5. ?5. AAS6. UX ≅ SV6. CPCTC

Question illustration
A
△SXU ≅ △TVS
B
△UVX ≅ △SXV
C
△SWX ≅ △UWV
D
△TUX ≅ △TSV
78

Which rules could describe the rotation? Select two options.

A
R0, 90°
B
R0, 180°
C
R0, 270°
D
(x, y) → (–y, x)
E
(x, y) → (y, –x)

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