Unit 1
Unit 2
Unit 3
Unit 4
Unit 5
Unit 6
Unit 7
100
What is the measure of angle ABE?
50 degrees
100
Which triangle congruence theorem could you use to prove the two triangles are congruent?
SSS
100
Angle ABC is taken by a dilation with center P and scale factor 3 to angle A'B'C'. The measure of angle ABC is 21 degrees. What is the measure of A'B'C'?
21 degrees
100
Write an expression that can be used to find the length of JH.
9sin(35)
100
Which three-dimensional figure results when this two-dimensional figure is rotated using a vertical axis of rotation?
cone
100
Write an equation of the line that passes through (1, 3) and has a slope of 5/4 in point-slope form.
y-3 =5/4(x-1)
100
The measure of angle AOB is 56 degrees. What is the measure of angle ACB?
28 degrees
200
What would be the coordinates of the image of C, C', after a reflection over the x-axis?
(1, 0)
200
Write a congruence statement for the two triangles.
Answers may vary
\triangleADE~=\triangleCBE
200
Triangle XYZ is scaled and the image is X'Y'Z'. Write 2 equations that could be used to solve for a.
8/5 = 3/a
8/3= 5/a
200
A square has side length 3 units. What is the length of the diagonal?
3sqrt2 units
200
Find the exact volume of each solid.
A. a cylinder with radius 3 inches and height 2 inches
B. a prism 5 inches tall whose base is a 2 inch by 8 inch rectangle
A. 18pi cubic inches
B. 80 cubic inches
200
Write an equation of a circle that is centered at (-3, 2) with a radius of 5.
(x+3)^2 + (y-2)^2 = 25
200
What is the measure of the arc from A to B that does not pass through C?
100 degrees
300
A and B are the centers of the circles shown. Which segment has the same length as AB?
A. CB
B. CD
C. CA
C
300
Triangle ABC is congruent to triangle DEF. Select ALL the statements that are a result of CPCTC.
A. Segment AC is congruent to segment EF
B. Segment BC is congruent to segment EF
C. Angle BAC is congruent to angle EDF
D. Angle BCA is congruent to angle EDF
B and C
300
Quadrilaterals Q and P are similar. What is the scale factor of the dilation that takes P to Q?
5/4
300
Select ALL the true equations.
A. cos(37) = sin(53)
B. tan(37) = tan(53)
C. sin( theta ) = cos(90 - theta )
D. sin(37) = cos(37)
A and C
300
A solid with volume 12 cubic units is dilated by a scale factor of 1/4. Find the volume of the scaled solid. Leave answer as a fraction.
3/16 cubic units
300
Which equation is parallel to the line 2x + 5y = 8?
A. y=2/5x+4
B. y=-2/5x+4
C. y-2=-2/5(x+1)
B
300
Quadrilateral ABCD is cyclic with given angle measures. What is the measure of angle C?
45 degrees
400
Which segment is the image of AB when rotated 90 degrees counterclockwise around point P?
FG
400
What is the first error Alycia made in her proof?
Her reason for statement 4 does not guarantee congruence.
400
What sequence of transformations would show that triangles ABC and AED are similar?
Answers may vary
dilate triangle AED using center A by a scale factor of 2, then reflect over line AC
OR reflect triangle ABC over line AC, then dilate using center A by a scale factor of 1/2
400
Write three true equations
cos(63) = y/15
tan(27) = y/x
sin(63)=x/15
400
A monster truck wheel has an area of 324pi square inches. A toy company wants to create a scaled copy of the monster truck with a wheel area of 9pi square inches. What scale factor should the company use?
1/6
400
Here is a line l . Write equations for 2 different lines perpendicular to l and 2 different lines parallel to l .
Answers may vary.
perpendicular: slope of -3/2
parallel: slope of 2/3
400
A circle of radius 12 units is divided into 8 congruent slices.
A. What is the area of each slice? (in terms of pi )
B. What is the arc length of each slice? (in terms of pi )
A. 18pi square units
B. 3pi units
500
Triangle ABC is congruent to triangle A'B'C'. What sequence of transformations would take ABC to A'B'C'?
translate triangle ABC by the directed line segment AA', then rotate the image about A' until the image of B coincides with B'
500
Prove triangle ABD is congruent to triangle CDB.
It is given that segment AB and segment DC are parallel. It is also given that angle A and angle C are right angles. By the right angles theorem, angle A and angle C are congruent. Angle DBA is congruent to angle BDC by the alternate interior angles theorem. Segment BD is congruent to segment BD by the reflexive property. Therefore, triangle ABD is congruent to triangle CDB by the angle-angle-side triangle congruence theorem.
500
Segment A'B' is parallel to segment AB. What is the length of segment BB'?
3.5 units
500
Find the missing measurements of the right triangle. Round to the nearest tenth.
Angle B = 63 degrees
AB = 26.4 units
AC = 23.6 units
500
Each small square represents 1 square centimeter. What is the exact volume of the solid formed by rotating this two-dimensional figure around the horizontal axis shown?
36pi cubic centimeters
500
Here are the graphs of the circle centered at (0, 0) with radius 8 and the line given by 4x + 7y = 65. Determine whether the circle and the line intersect at the point (4,7).
They do not intersect there. The point (4,7) is on the line, but outside the circle.
500
Select ALL the sectors which have an area of 5 pi square units.
A. a sector with a radius of 10 units and a central angle of 30 degrees
B. a sector with a radius of 10 units and a central angle of pi/10 radians
C. a sector with a radius of 5 units and a central angle of 72 degrees
D. a sector with a radius of 5 units and a central angle of pi/2 radians
B and C