AnswersGeometry Concepts and ConnectionsN/A

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If cap r cap t is 10 centimeters long, what is cap s cap t ?

A
6 centimeters
B
8 centimeters
C
4 centimeters
D
2 centimeters
2
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If a translation of cap t sub negative 3 comma negative 8 times open paren x comma y close paren is applied to square ABCD , what is the y -coordinate of cap b prime ?

A
negative 8
B
negative 2
C
negative 6
D
negative 12
3

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

A
Line p must be drawn so that it can lie in the same plane as line
B
Line p must be drawn in the same plane as line
C
Line p must be drawn in plane
D
Line p must be perpendicular to line
4

Which statements must be true about the two congruent, shaded figures? Choose two correct answers.

A
The figures are rhombi because they are formed by four congruent line segments.
B
The figures are rectangles because they are formed inside a rectangle.
C
The figures are trapezoids because each has exactly one pair of parallel sides.
D
The figures are quadrilaterals because each has four sides.
E
The figures are parallelograms because their opposite sides are parallel.
5

What is the value of x ?

A
55
B
145
C
50
D
125
6

Ray LR is to be added to the diagram so that it is opposite ray LM Which is true about angle RLN that would be formed?

A
Angles RLN and MLN would be vertical angles.
B
Angles RLN and KLN would be a linear pair.
C
Angles RLN and MLK would be vertical angles.
D
Angles RLN and KLM would be a linear pair.
7

What is the measure of angle JHN ?

A
50 degrees
B
25 degrees
C
95 degrees
D
45 degrees
8

What are the coordinates of point cap A of the pre-image?

A
open paren negative 9 comma 18 close paren
B
open paren negative 1 comma 1 close paren
C
open paren negative 9 comma 6 close paren
D
open paren negative 1 comma 2 close paren
9

Which shows the pre-image of triangle cap x prime cap y prime cap z prime before the figure was rotated 90 degrees about the origin?

A
Image with description Image 1: Coordinate plane with x- and y-axes labeled and a 1-unit grid. Triangle X Y Z has vertices X at (negative 2 comma 2), Y at (negative 6 comma 0), and Z at (negative 1 comma negative 1). Image 2: Coordinate plane with x- and y-axes labeled and a 1-unit grid. Triangle X Y Z has vertices X at (negative 2 comma negative 2), Y at (negative 6 comma 0), and Z at (negative 1 comma 1).
B
Image with description Coordinate plane with x- and y-axes labeled and a 1-unit grid. Triangle X Y Z has vertices X at (2, negative 2), Y at (6, 0), and Z at (1, 1).
C
Image with description Coordinate plane with x- and y-axes labeled and a 1-unit grid. Triangle X Y Z has vertices X at (2, 2), Y at (6, 0), and Z at (1, negative 1).
D
Image with description Image 1: Coordinate plane with x- and y-axes labeled and a 1-unit grid. Triangle X Y Z has vertices X at (negative 2 comma 2), Y at (negative 6 comma 0), and Z at (negative 1 comma negative 1). Image 2: Coordinate plane with x- and y-axes labeled and a 1-unit grid. Triangle X Y Z has vertices X at (negative 2 comma negative 2), Y at (negative 6 comma 0), and Z at (negative 1 comma 1).
10

Which rule represents the translation from the pre-image, triangle ABC , to the image, triangle cap A prime cap b prime cap c prime ?

A
open paren x comma y close paren rightarrow open paren x plus 7 comma y minus 6 close paren
B
open paren x comma y close paren rightarrow open paren x minus 6 comma y plus 7 close paren
C
open paren x comma y close paren rightarrow open paren x plus 7 comma y plus 6 close paren
D
open paren x comma y close paren rightarrow open paren x plus 6 comma y plus 7 close paren
11

Quadrilateral ABCD is translated up and to the right, and then rotated about point cap q Which congruency statement is correct?

A
ABCD is congruent to WZYX
B
ABCD is congruent to ZYXW
C
ABCD is congruent to ZWXY
D
ABCD is congruent to WXYZ
12

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 BAC
C
triangle NLM is congruent to triangle CBA
D
triangle NLM is congruent to triangle BCA
13

What additional information could be used to prove triangle ABC is congruent to triangle MQR using SAS? Choose two correct answers.

A
CB is equal to MQ is equal to 29 cm
B
m angle cap q is equal to 56 degrees and line segment CB is congruent to line segment RQ
C
m angle cap A is equal to 64 degrees and AB is equal to MQ is equal to 31 cm
D
AB is equal to QR is equal to 31 cm
E
m angle cap r is equal to 60 degrees and line segment AB is congruent to line segment MQ
14

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

A
m angle 4 is equal to m angle 12 is equal to 82 degrees
B
m angle 3 is equal to m angle 14 is equal to 98 degrees
C
m angle 4 is equal to m angle 8 is equal to 82 degrees
D
m angle 3 is equal to m angle 6 is equal to 98 degrees
E
m angle 5 is equal to m angle 8 is equal to 82 degrees
15

What is m angle QBO ?

A
9 degrees
B
12 degrees
C
24 degrees
D
5 degrees
16

Proof: We are given that AB is equal to 12 and AC is equal to 6 Applying the segment addition property, we get AC plus CB is equal to AB Applying the substitution property, we get 6 plus CB is equal to 12 The subtraction property can be used to find CB is equal to 6 The symmetric property shows that 6 is equal to AC Since CB is equal to 6 and 6 is equal to AC , AC is equal to CB by the [Dropdown 1] property. So, line segment AC is congruent to line segment CB by the definition of congruent segments. Finally, cap c is the midpoint of line segment AB because it divides line segment AB into two congruent segments.

Answer:

transitive

17

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

A
point cap c
B
line ED
C
line CD
D
point cap d
18

If the pool is to be 24 ft on each side, what is the length of one side of the hot tub?

A
4 point 8 ft
B
7 point 2 ft
C
4 ft
D
6 ft
19

Is there a series of rigid transformations that could map triangle cap k cap l cap p to triangle cap q cap n cap m ? If so, which transformations?

A
Yes, triangle cap k cap l cap p can be reflected across the line containing line segment cap k cap p and then translated so that cap p is mapped to cap m .
B
No, triangle cap k cap l cap p and triangle cap q cap n cap m are congruent but triangle cap k cap l cap p cannot be mapped to triangle cap q cap n cap m using a series rigid transformations.
C
Yes, triangle cap k cap l cap p can be rotated about cap p and then translated so that caps l is mapped to cap n .
D
No, triangle cap k cap l cap p and triangle cap q cap n cap m are not congruent.
20

Which expression is a quadratic binomial?

A
x minus y squared
B
x squared y minus y
C
3 plus x squared minus x y
D
x y squared

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