Unit 1
Unit 2
Unit 3
Unit 4
Unit 6
100
Line segment BD is an angle bisector to angle ABC. If angle ABD is 36, what is the measure of angle ABC?
72
100
Which angles are congruent to angle 7?
Angle 5, angle 3, and angle 1
*BONUS 100 points: What is the relationship between angle 7 and each of the three congruent angles?
100
Line segment RT was rotated 90 degrees CC, translated 7 units to the left, then reflected over the y-axis to produce R'T'. Are these two lines congruent? Explain how you know.
Yes RT and R'T' are congruent because rotations, translations, and reflections are all rigid motions, which preserve congruency.
100
Which of the following are triangles?
a. 3, 6, 8
b. 5, 11, 6
c. 7, 15, 9
d. 12, 4, 7
e. 15, 9, 6
a and c
100
If the sum of the interior angles of a regular polygon is 2,520°, how many sides does the polygon have?
16
BONUS 100 POINTS: What is a 6-sided figure called?
200
M is the midpoint of PQ. PM = x + 15, MQ = 4x - 45. What is the length of the line segment PQ?
PQ = 70
200
Which angles are a linear pair to angle 4?
Angle 1, angle 3, angle 5, angle 7
200
Does the star below have rotational symmetry, reflectional symmetry, or both?
Both rotational symmetry and reflectional symmetry
200
What is the measure of angle 4?
angle 4 = 145
200
Rectangle ABCD has diagonals AC and BD that interest at point E. Given the measures in the figure, what is the length of BD?
BD = 34
300
What is the measure of angle EOD?
x = 16
EOD = 36
300
If the slope of a line is 5, what is the slope of a line that is parallel?
m = 5
*Bonus 100 points: What is the slope of a line that is perpendicular to the line?
300
Triangle ABC has coordinates A(-2, -4), B(-8, -6) and C(-5, 3). What are the coordinates of C’’ when (x, y) --> (-y, x), then applying (x, y) --> (y, x)?
C" (-5, -3)
300
Given that BC is the perpendicular bisector to AD, what is the length of AD?
AD = 104
300
What shape is created by the points A (0, 4), B (4, 0), C (0, -3), and D (-4, 0)?
State the figure's name and at least two properties of the figure.
Kite
1. 2 sets of congruent sides
2. 1 set of congruent angles
400
What is the length of BC?
BC = 14
400
Name an pair of angles and their relationship that would prove m is parallel to n.
1 and 5, 2 and 6, 3 and 7, 4 and 8, 9 and 13, 10 and 14, 11 and 15, 12 and 16 = corresponding
1 and 7, 2 and 8, 9 and 15, 10 and 16 = alternate exterior angles
3 and 5, 4 and 6, 11 and 13, 12 and 14 = alternate interior angles
1 and 8, 2 and 7, 9 and 16, 10 and 15 = same-side exterior angles
4 and 5, 3 and 6, 11 and 14, 12 and 13 = same-side interior angles
400
Point A’(-4, 10) is the image of A(4,-10) under a rotation. What is the image of B(2, -9) under that same rotation?
B' (-2, 9)
*Bonus 100 points: Name the rotation that A and B went through.
400
State the triangle congruent postulate for each of the sets below. 100 points per correct answer.
a - ASA
b - SSS
c - none
d - HL
400
Given the regular pentagon, what is the value of x?
x = 11
500
Point P is 2/3 of the way from X (2,2) to Y (8, 6). What are the coordinates of P?
P = (6, 4.6)
500
Which equation is parallel to y = 4x - 3 and goes through the point (8, 17)?
A. y = 4x + 5
B. y = -1/4 x + 5
C. y = 4x - 15
D. y = -1/4 x - 15
C.
500
Triangle ABC has coordinates A(-2, -4), B(-8, -6) and C(-5, 3). What are the coordinates of A' when (x, y) --> (-y, x), then applying (x, y) --> < 3, -2 >?
A (-2, -2) --> (4, -2) --> A' (7, -4)
500
What is the value of x?
x = 14.3
*Bonus 100 points: What kind of triangles are these?
500
Rhombus ABCD has diagonals AC and BD that intersect at E. If AC = 18, and BD = 24, what is the length of one side of the rhombus?
One side is 15.
BONUS 100 Points: If one side is 15, what is the perimeter of rhombus ABCD?