AnswersGeometry with StatisticsN/A

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What is the equation of the line that is parallel to the given line and passes through the point open paren 12 comma negative 2 close paren ?

A
y is equal to negative 5 sixths x minus 10
B
y is equal to negative 6 fifths x plus 10
C
y is equal to negative 6 fifths x plus 12
D
y is equal to 5 sixths x minus 12
2
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Which statement is true about angles 1 and 2 ?

A
They are right angles.
B
They are congruent.
C
They are complementary.
D
They are supplementary.
3

Which transformation occurred?

A
reflection
B
stretch
C
rotation
D
translation
4

Parallelogram M N O P is transformed according to the rule T sub negative 4 comma 3 circ r sub y minus A x i s What is the x -coordinate of M ?

A
2
B
negative 2
C
1
D
negative 1
5

If m angle 1 is equal to 61.8 degrees , then what is m angle 6 ?

A
118.2 degrees
B
128.2 degrees
C
61.8 degrees
D
81.8 degrees
6

Which rigid transformation(s) can map triangle FGH onto triangle VWX ?

A
rotation, then dilation
B
reflection, then rotation
C
reflection, then translation
D
rotation, then translation
7

What are two possible transformations that together could have been used to create figure cap A prime cap b prime cap c prime cap d prime from figure cap A cap b cap c cap d ?

A
a translation of 1 unit down followed by a rotation of 90 degrees clockwise about the origin
B
a rotation of 90 degrees counterclockwise about the origin followed by a reflection across the x -axis
C
a rotation of 90 degrees counterclockwise about the origin followed by a translation of 1 unit down
D
a reflection across the x -axis followed by a reflection across the y -axis
8

What is QS ?

A
2 units.
B
17 units.
C
33 units.
D
5 units.
9

It is given that M is the midpoint of line segment PK and line segment PK perpendicular to line segment MB Midpoints divide a segment into two congruent segments, so line segment PM is congruent to line segment KM Since line segment PK perpendicular to line segment MB and perpendicular lines intersect at right angles, angle PMB and angle KMB are right angles. Right angles are congruent, so angle PMB is congruent to angle KMB The triangles share line segment MB , and the reflexive property justifies that line segment MB is congruent to line segment MB Therefore, triangle PMB is congruent to triangle KMB by the SAS congruence theorem. Thus, line segment BP is congruent to line segment BK because _____________. Finally, triangle PKB is isosceles because it has two congruent sides.

A
of the definition of congruent segments
B
of the definition of a right triangle
C
corresponding parts of congruent triangles are congruent
D
base angles of isosceles triangles are congruent
10

What is the missing reason in the proof? Statements Reasons 1. line segment AB is parallel to line segment CD ; line segment BC is parallel to line segment DA 1. given 2. Quadrilateral ABCD is a parallelogram 2. definition of parallelogram 3. line segment AB is congruent to line segment CD ; line segment BC is congruent to line segment DA 3. opposite sides of a parrallegram are is congruent to 4. line segment AC is congruent to line segment AC 4. refexive property 5. triangle ABC is congruent to triangle CDA 5. ?

A
SSS congruence theorem
B
Pythagorean theorem
C
perpendicular bisector theorem
D
HL theorem
11

Which statements regarding triangle EFG are true? Choose three correct answers.

A
EF minus FG is greater than EG
B
EF plus FG is greater than EG
C
EG plus EF is less than FG
D
EG minus FG is less than EF
E
EG plus FG is greater than EF
12

Mary translated the triangle 5 units right and 4 units down. What is the new triangle that Mary drew?

A
Image with description On a coordinate plane, a right angle triangle A prime B prime C prime has vertex A prime at 1 comma 0, B prime at 1 comma negative 3, and C prime at 4 comma negative 3.
B
Image with description On a coordinate plane, a right angle triangle A prime B prime C prime has vertex A prime at negative 4 comma 0, B prime at negative 4 comma negative 3, and C prime at negative 1 comma negative 3.
C
Image with description On a coordinate plane, a right angle triangle A prime B prime C prime has vertex A prime at 0 comma negative 1, B prime to “negative 4 comma negative 3” and C prime to “negative 1 comma negative 3”
D
Image with description On a coordinate plane, a right angle triangle A prime B prime C has vertex A prime at 1 comma 4, B prime at 1 comma 1, and C prime at 4 comma 1.
13

Is there a series of rigid transformations that could map triangle RST to triangle XYT ? If so, which transformations could be used?

A
Yes, triangle RST can be translated so that cap s is mapped to cap y and then rotated about cap s so that cap r is mapped to cap x .
B
Yes, triangle RST can be reflected across the line containing line segment RT and then rotated about cap t so that cap s is mapped to cap y .
C
No, triangle RST and triangle XYT are not congruent.
D
No, triangle RST and triangle XYT are congruent but triangle RST cannot be mapped to triangle XYT using a series rigid transformations.
14

Triangle NLM is reflected over the line segment as shown, forming triangle ABC Which congruency statement is correct?

A
triangle NLM is congruent to triangle CAB
B
triangle NLM is congruent to triangle CBA
C
triangle NLM is congruent to triangle BAC
D
triangle NLM is congruent to triangle BCA
15

What is true about angle MSR ?

A
It must be equal to angle MRH .
B
It must be acute.
C
It must be equal to angle RMS .
D
It must be a right angle.
16

If a new line, p , is drawn parallel to line l , which statement is true?

A
Line p must be drawn in the same plane as line
B
Line p must be drawn so that it can lie in the same plane as line
C
Line p must be perpendicular to line
D
Line p must be drawn in plane
17

Assume lines c and d are parallel and angle 2 measures 98 degrees Which statements are true? Choose three correct answers.

A
m angle 3 is equal to m angle 14 is equal to 98 degrees
B
m angle 3 is equal to m angle 6 is equal to 98 degrees
C
m angle 5 is equal to m angle 8 is equal to 82 degrees
D
m angle 4 is equal to m angle 12 is equal to 82 degrees
E
m angle 4 is equal to m angle 8 is equal to 82 degrees
18

Which vowels have more than one line of symmetry?

A
E and I
B
O and A
C
I and O
D
A and U
19

We know that angle 1 is congruent to angle 3 and that line A is parallel to line b because they are given. We see that __________ by the alternate exterior angles theorem. Therefore, angle 2 is congruent to angle 3 by the transitive property. So, we can conclude that lines e and f are parallel by the converse alternate exterior angles theorem. Which information is missing in the paragraph proof?

A
angle 1 is congruent to angle 4
B
angle 2 is congruent to angle 3
C
angle 2 is congruent to angle 4
D
angle 1 is congruent to angle 2
20

Which describes the intersection of planes cap A and cap b ?

A
point cap d
B
point cap c
C
line CD
D
line ED

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