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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The hypotenuse of a 45°-45°-90° triangle measures units.

Question illustration
7
7 units
u
units
Option u
1
14 units
u
units
Option u
22
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Which diagram shows possible angle measures of a triangle?

Question illustration
A
A triangle has angle lengths 35 degrees, 115 degrees, and 25 degrees.
Option A
B
A triangle has angle lengths 32 degrees, 115 degrees, and 33 degrees.
Option B
C
A triangle has angle lengths 35 degrees, 120 degrees, and 35 degrees.
Option C
D
a triangle has angle lengths 30 degrees, 120 degrees, and 20 degrees.
Option D
23

On a coordinate plane, 2 triangles are shown. Triangle A B C has points (negative 1, 1), (negative 4, 1) and (negative 1, 5). Triangle L M N has points (1, negative 1), (1, negative 4), and (5, negative 1).

Question illustration
A
The figures are congruent because a 270° rotation about the origin and then a reflection over the x-axis will map ΔABC onto ΔLMN.
B
The figures are congruent because a 180 rotation about the origin and then a reflection over the x-axis will map ΔABC onto ΔLMN.
C
The figures are not congruent because point B corresponds with point N and point C corresponds with point M.
D
The figures are not congruent because there is no rigid transformation or combination of rigid transformations that will map ΔABC onto ΔLMN.
24

Question text not available

Question illustration
A
60°
B
90°
C
180°
D
360°
25

The table represents a linear function.

Question illustration
–
–8
–
–4
2
2
5
5
26

On a coordinate plane, a line goes through (1, negative 1) and (4, 2). A point is at (2, 5).

Question illustration
A
y + 5 = x + 2
B
y − 2 = x − 5
C
y − 5 = −(x − 2)
D
y + 2 = −(x + 5)
27

On a coordinate plane, 2 triangles are shown. The first triangle has points F (3, 2), H (4, 5), G (1, 2). The second triangle has points F prime (negative 2, 3), H prime (negative 5, 4), G prime (negative 2, 1).

Question illustration
A
Correct. He transformed the triangle according to the rule (x, y) → (–y, x).
B
Incorrect. He transformed the triangle according to the rule (x, y) → (y, –x)
C
Incorrect. He transformed the triangle according to the rule (x, y) → (–y, –x)
D
Incorrect. He transformed the triangle according to the rule (x, y) → (–x, –y)
28

Which statement describes the order of rotational symmetry for an isosceles triangle?

A
An isosceles triangle has an order 0 rotational symmetry because there is no angle at which it can be rotated onto itself.
B
An isosceles triangle has an order 1 rotational symmetry because it does not have all congruent angles.
C
An isosceles triangle has an order 2 rotational symmetry because it has 1 pair of congruent angles.
D
An isosceles triangle has an order 3 rotational symmetry because it has 3 angles.
29

The midpoint of is point P at (−16,6). If point A is at (−10,8), what are the coordinates of point B?

Question illustration
A
(−42,20)
B
(−22,4)
C
(−13,7)
D
(2,−5)
30

Triangle A B C is shown. Lines are drawn from each point to to the opposite side and intersect at point G. Line segments A D, B E, and C F are created.

Question illustration
A
Point G cannot be the centroid because 18:6 does not equal 2:1.
B
Point G cannot be the centroid because FG should be longer than CG.
C
Point G can be the centroid because 12:6 equals 2:1.
D
Point G can be the centroid because FC is longer than FG.
31

Which diagram shows lines that must be parallel lines cut by a transversal?

Question illustration
A
2 horizontal lines are intersected by another line. At the intersection with the first line, the uppercase right angle is 91 degrees. At the intersection with the second line, the bottom right angle is 91 degrees.
Option A
B
2 horizontal lines are intersected by another line. At the intersection with the first line, uppercase right angle is 91 degrees and the bottom left angle is 91 degrees.
Option B
C
2 horizontal lines are intersected by another line. At the intersection with the first line, the uppercase right angle is 89 degrees and the bottom right angle is 91 degrees.
Option C
D
2 horizontal lines are intersected by another line. At the intersection with the first line, the bottom right angle is 91 degrees. At the intersection with the second line, the top right angle is 89 degrees.
Option D
32

Angle MON is a straight angle and bisects MOQ.

Question illustration
A
29°
B
58°
C
61°
D
122°
33

Triangle ABC is rotated 45° about point X, resulting in triangle EFD.

Question illustration
A
3.3 cm
B
3.6 cm
C
4.2 cm
D
4.5 cm
34

Tracie rides the bus home from school each day. The graph represents her distance from home relative to the number of minutes since the bus left the school.

Question illustration
A
Tracie’s bus travels towards her home at an average speed of mile per minute.
Option A
B
Tracie’s bus travels towards her home at an average speed of 2 miles per minute.
C
Tracie’s bus travels away from her home at an average speed of mile per minute.
Option C
D
Tracie’s bus travels away from her home at an average speed of 2 miles per minute.
35

Angle RSU is complementary to angle UST. Angle QSR is congruent to angle RSU.

Question illustration
A
They are complementary.
B
They are supplementary.
C
They are congruent.
D
They are obtuse.
36

Equilateral triangle ABC has a perimeter of 96 millimeters. A perpendicular bisector is drawn from angle A to side at point M.What is the length of ?

Question illustration
A
16 mm
B
24 mm
C
32 mm
D
48 mm
37

Which congruence theorems can be used to prove ΔABR ≅ ΔACR? Select three options.HLSASSSSASAAAS

Question illustration
A
HL
B
SAS
C
SSS
D
ASA
E
AAS
38

Two lines extend from point S to create a right angle. The vertical line extends from point S through point R. The horizontal line extends right from point S through point T. A third line extends right and up from point S through point U.

Question illustration
A
TSR
Option A
B
TSU
Option B
C
USR
Option C
D
UTS
Option D
39

Lines e and f are intersected by line a. At the intersection of lines a and e, the bottom right angle is 72 degrees. At the intersection of lines a and f, the uppercase right angle is 108 degrees.

Question illustration
A
alternate interior angles theorem
B
same side interior angles theorem
C
converse of the alternate interior angles theorem
D
converse of the same side interior angles theorem
40

△ABC is an isosceles triangle with legs AB and AC. △AYX is also an isosceles triangle with legs AY and AX.

Question illustration
A
∠A ≅ ∠A; reflexive property
B
∠X ≅ ∠X; reflexive property
C
∠ABC ≅ ∠AYX; corresponding angles of similar triangles
D
∠ABC ≅ ∠AXY; corresponding angles of similar triangles

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