Transversals
Parallel and Perpendicular Lines
Translations and Reflections
Rotations and Dilations
Triangle Congruence
100
Name all pairs of alternate interior angles.
angle2 and angle8, angle3 and angle5
100
Determine whether the lines through the given points are parallel, perpendicular, or neither.
y = 3/5x - 3
5y = 3x - 10
parallel
100
The vertices of triangle ABC are A(2, 3), B(-1, 2), and C(0, 1). What are the coordinates of the vertices of the image after translating triangle ABC using the vector <1, 4>?
A'(3, 7), B'(0, 6), and C'(1, 5)
100
You want to reduce a picture that is 10 inches by 12 inches to a picture that is 2.5 inches by 3 inches. What is the scale factor k?
k=1/4=0.25
100
Given that
triangleTSRcongtriangleABC
m∠R = 19°, and m∠B = 56°, find m∠T.
105°
200
Classify
angle 3 and angle 8
as corresponding, alternate interior, alternate exterior, or consecutive interior angles.
consecutive interior angles
200
Are the lines L1 and L2 passing through the given pairs of points parallel, perpendicular or neither?
L1: (0, 3), (3 , 1)
L2: (-1, 4), (-7, -5)
perpendicular
200
Write a rule for the translation of triangle RST to triangle R’S’T’.
(x + 6, y + 4)
200
Quadrilateral PQRS has vertices P(1, 2), Q(2, 2), R(4, -2), and S(-1, -3). What are the coordinates of the vertices of the image after a dilation with a scale factor of 3?
P'(3, 6), Q'(6, 6), R'(12, -6), and S'(-3, -9)
200
Determine which triangle congruence theorem, if any, can be used to prove the triangles are congruent.
SSS Congruence Theorem
300
Find the value of x.
x = 8
300
Write the equation in slope-intercept form of the line that is parallel to the graph of y + 2x = 4 and passes through the point (-1, 2).
y = -2x
300
The vertices of triangle ABC are A(-2, -4), B(6, 2), and C(3, -5). What are the coordinates of the vertices of the image after reflecting triangle ABC across the x-axis?
A'(-2, 4), B'(6, -2), and C'(3, 5)
300
Triangle ABC has vertices A(-3, 5), B(4, 3), and C(-1, 1). What are the coordinates of the vertices of the image after a 270° counterclockwise rotation about the origin?
A'(5, 3), B'(3, -4), and C'(1, 1)
300
Determine which triangle congruence theorem, if any, can be used to prove the triangles are congruent.
none
400
Find
mangle2
68°
400
Write the equation in slope-intercept form of the line that is perpendicular to the graph of 7y + 4x = 3 and passes through the point (-4, -1).
y=7/4x+6
400
The vertices of triangle CDE are C(3, 4), D(2, -1), and E(0, -5). What are the coordinates of the vertices of the image after reflecting triangle CDE across the line y = x?
C'(4, 3), D'(-1, 2), and E'(-5, 0)
400
Quadrilateral JKLM has vertices P(-3, 4), Q(2, 1), R(3, -2), and S(-5, -4). What are the coordinates of the vertices of the image after a dilation with a scale factor of 50%?
P'(-1.5, 2), Q'(1, 0.5), R'(1.5, -1), and S'(-2.5, -2)
400
Given that
triangleABCcongtriangleDEF, mangleA=70°, mangleB=60°, mangleC=50°,
mangleD=(3x+10)°, mangleE=(y/3+20)°, and mangleF=(z^2+14)°,
find the values of x, y, and z.
x = 20, y = 120, z = 6
500
Find the values of x and y.
y = 12, x = 13
500
A line through (3, 5) and (k, 12) is perpendicular to a line through (0, 7) and (2, 10). Find the value of k that makes the above statement true.
k=-15/2=-7.5
500
The vertices of triangle CDE are C(1, 6), D(12, 2), and E(7, -8). What are the coordinates of the vertices of the image after reflecting triangle CDE across the line y = -x and translating triangle CDE using the vector <2, 3>?
C'(-4, 2), D'(0, -9), and E'(10, -4)
500
Triangle ABC has vertices A(-4, 4), B(-2, 6), and C(1, -1). What are the coordinates of the vertices of the image after a 90° counterclockwise rotation about the origin and a dilation with a scale factor of 50%?
A'(-2, -2), B'(-3, -1), C'(0.5, 0.5)
500
State how you know the triangles are congruent. Then find the values of x, y, and z.
ASA Congruence Theorem
x = 65°, y = 6, z = 146°