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37 questions
A square GHJK with coordinates G(-2, 6), H(3, 6), J(3, 1), K(-2,1) is reflected over the x-axis. What are the new coordinates?
None of these
G(2, -6), H(-3, -6), J(-3, -1), K(2,-1)
G(2, 6), H(-3, 6), J(-3, 1), K(2,1)
G(-2, -6), H(3, -6), J(3, -1), K(-2,-1)
For which transformation would Triangle RST have image R'S'T'?
180 degree rotation
a reflection over the y-axis
a translation left 8 units
a reflection over the x-axis
Isosceles Trapezoid RSTU, K is midpoint of RS, L is midpoint of ST, M is midpoint of TU, and N is midpoint of RU. Point P is the intersection of KM and NL. Which transformation carries the trapezoid onto itself?
a 90 degree rotation clockwise about P
a 180 degree rotation clockwise about P
a reflection over KM
a reflection over NL
Find the equation of the line that passes through point (-1,-5) and perpendicular to the line shown.
y = 1/2x - 4.5
y = 2x - 3
y = 2x - 4.5
y = -1/2x - 5.5
Angle 6 and angle 11 are congruent because ________________ .
Alternate Interior Angles
Same Side Interior Angles
Corresponding Angles
Alternate Exterior Angles
The measures of angles, 4, 7, and ________ is equal to 180 degrees.
2
5
6
10
Shanika is making a decorative tablecloth for her small circular table. The table has a radius of 40 centimeters and a height of 60 centimeters. She wants the tablecloth to hand an even 10 centimeters above the ground.
Which design would give Shanika what she wants?
a circular piece of cloth with radius of 90 centimeters
a circular piece of cloth with radius of 100 centimeters
a circular piece of cloth with radius of 110 centimeters
a circular piece of cloth with radius of 130 centimeters
The three line segments dividing the two sides of the triangle are parallel to the base of the triangle. Which proportion can be used to find the value of x?
1/4 = x/8
1/4 = 8/x
24/20 = x/8
24/40 = 8/x
Determine which statement is true in regard to Triangle ABC and Triangle LMN.
ABC ~ LMN by AA criterion
ABC ~ LMN by SAS criterion
ABC ~ LMN by SSS criterion
ABC ~ LMN are not similar
The Triangles QTP and SPT are shown. Ray MR is a perpendicular bisector of the line segment PT and intersects line segment PT at point M.
Which transformation would indicate that Triangle QTP ~ Triangle SPT?
horizontal translation of length PR
horizontal translation of length PT
reflection over QT
reflection over MR
Triangle 1 is transformed to create Triangle 2 such that sides RS, RT, and ST are congruent to sides VW, VU, and WU.
Select the answer that correctly completes the following statement.
Triangle RST must be congruent to Triangle VWU because of the __________ theorem. Thus, <STR must be congruent to < ________ .
ASA
SSS
SAS
WUV
UVW
A circle is represented by the equation shown.
(x - 1)2 + (y -2)2 = 4
Which statement represents the graph of the circle?
Center (1, 2), radius of 2
Center (1, 2), radius of 4
Center (-1, -2), radius of 2
Center (-1, -2), radius of 4
In ΔQRS, m∠Q=23° and m∠R=66° What is the measure, in degrees of m∠S ?
90
81
91
80
Graph right triangle RST with vertices R(-3, 6), S(3, 6), and T(3, -2). Then find the center and radius of the circumscribed circle for Triangle RST>
center (-2, 0), radius = 3
center (0, 2), radius = 5
center (2, 0), radius = 3
center (0, -2), radius = 5
The measurements of the circumferences and radii of circles with different areas are recorded and analyzed. Which statement justifies why this information can be used to approximate the value of pi?
The area of a circle varies inversely with the radius
The circumference of a circle varies inversely with the radius
The circumference of a circle varies directly as the radius
The area of a circle varies directly as the radius
Triangle RST ~ Triangle UST
Select the true statement.
Triangle STU is a right triangle
RS = 4/3 x cm. in length
<RVS + <UST = 90 degrees
<VRS = <STU
In the figure, Ray PS is tangent to circle O at point S. Arc QR measure 110o and Arc RS measures 150o.
What is the measure, in degrees, of <QPS?
100
75
55
25
What is the area cleared by the windshield wiper blade?
125 in2
183 in2
367 in2
790 in2
In the figure shown Triangle RST ~ Triangle UVW.
Which of the following expressions represents tan(R) in terms of m and p?
m/2p
2p/m
2m/p
p/2m
The two chords shown in the circle intercept the given arcs. What is the measure of <MPN?
70o
75o
115o
150o
Andrea wants to build a rectangular play area for her dog using 36 feet of fencing. She wants the play area to be as large as possible. Determine the length and width, in feet, of the play area Andrea should build.
Length = ___________, Width = ___________
2, 16
3, 15
6, 6
9, 9
Parallelogram RSTU is shown. The perimeter of parallelogram RSTU is 50 centimeters. What is the value for x?
-5
-2
3
12
Chris is looking up at the top of a tree. He is standing 20 feet from the tree and his line of sight is 35o from horizontal. His eyes are 5 feet above ground. To the nearest foot, how tall is the tree?
14
16
19
25
Rectangle ABCD is shown.
The measure of diagonal BD is _____________ cm.
The perimeter of triangle CDE is ____________ cm.
15, 84
18, 57
24, 54
30, 48
A right triangle has leg lengths of 3 centimeters and 4 centimeters. What is cosX where X is the smallest angle of the triangle?
Round to the nearest tenth.
0.8
5.0
0.6
1.3
Complete Steps 2, 3, and 5 in the proof shown.
Step 2: Substitution
Step 3: Alternate Interior Angles are congruent
Step 5: Vertical Angles are congruent
Step 2: Vertical Angles are congruent
Step 3: Corresponding Angles are congruent
Step 5: Alternate Interior Angles are congruent
Step 2: Alternate Interior Angles are congruent
Step 3: Corresponding Angles are congruent
Step 5: Substitution
Step 2: Alternate Interior Angles are congruent
Step 3: Alternate Interior Angles are congruent
Step 5: Substitution
Write the equation of the line that is parallel to the line with equation -2x + y = 1 and passes through point (1, -1).
y = -2x - 3
y = -2x - 1
y = 2x - 3
y = -1/2x - 1
The dimensions of a rectangular prism is 26 inches by 10 inches by 8 inches. What is the surface area, in square inches, of the prism?
548
936
1096
2080
Reflect the Triangle RST over the x-axis first and then over the y-axis in the coordinate pane. Which of the following are coordinates after the final transformation?
(-1, -2)
(3, -5)
(-3, -5)
(3, -6)
(1, -2)
Mr. Miller is trying to determine the width of the pond. He makes the measurements shown.
To the nearest foot, what is the width of the pond?
72
83
249
288
Quadrilateral LMNO has coordinates L(5,6), M(9,8), N(11,12), and O(7, 10). How can quadrilateral LMNO be classified?
square
rhombus but not a square
rectangle but not a square
parallelogram but neither a rhombus nor a rectangle
The illustration shown represents the intersection of three roads: Highway 35, State Road 17, and Interstate-16. The region bounded by the three roads is represented by Triangle ABC. Each unit in the grid represents 1 mile. Which statements are true?
A cell tower is to be constructed at the circumcenter of Triangle ABC. How far, to the nearest hundredth mile, will the cell tower be from the intersection of Highway 35 and State Route 17?
4.12
4.53
5.10
5.39
Determine the area , to the nearest square mile, of the region bounded by the three roads.
27
28
35
38
A new road is to be constructed such that it will be parallel to Highway 35 and pass through Interstate 16 at Point D. What is the slope of the line that would represent the new road?
-3/7
-7/3
7/3
3/7
A line segment has endpoints R(-2, -2) and S(4, 1). What are the coordinates of the point that is 2/3 the way from R to S on this line segment?
(3, 1)
(-1, -1)
(0, -1)
(2, 0)
60
100
20
40
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