Find the new coordinates of A(10,12) if you translate the point twelve units left and 4 units down.
A'(–2, 8)
100
A point M(–5, 2) is reflected and its image is M'(5, 2). Was the reflection in the x-axis or the y-axis?
y-axis
100
Triangle ABC has coordinates A(–3, 1), B(–1, 1), and C(1, 2). After a rotation triangle A'B'C' has coordinates A'(1, 3), B'(1, 1), and C'(2, 1). Describe the rotation.
A rotation 90° clockwise about the origin.
100
Rectangle ABCD is congruent to Rectangle EFGH. What side is congruent to side BC?
side FG
100
What is the algebraic rule for a translation 1 unit left and 5 units up?
(x, y) ---> (x – 1, y + 5)
200
Triangle PQR has coordinates P(1, 0), Q(4, 3), and R(6, 1). Find the coordinates after a translation 3 units left and 2 units up.
P'(-2, 2), Q'(1, 5), and R'(3, 3)
200
Find the new coordinates of S(3,-2) after you reflect the point in the x-axis.
S'(3, 2)
200
Find the new coordinates of T(5, 4) after you rotate the point 180º about the origin.
T'(4, 5)
200
Triangle ABC is congruent to triangle DEF. If angle A is 45° and angle B is 60°, what is the measure of angle F?
75°
200
What is the algebraic rule for a translation 3 units down followed by a reflection in the y-axis?
(x, y) ---> (–x, y – 3)
300
Describe the translation from R(–4, –6) to R'(3, –11).
Move 7 units right and 5 units down.
300
Triangle PQR has coordinates P(–2, –1), Q(1, –1), and R(1, 2). The triangle is translated 2 units left and 1 unit up. Then the image is reflected in the x-axis. What are the resulting coordinates?
P''(–4, 0), Q''(–1, 0), and R''(–1, –3)
300
Write the notation of point (x,y) after it rotates 90º clockwise.
What is (y,-x)?
300
A rectangular traffic sign is 18 inches wide and 8 inches tall. The rectangular realtor sign is 27 inches wide and 10 inches tall. Are the signs similar?
No
300
What is the algebraic rule for a 180° rotation about the origin?
(x, y) ---> (–x, –y)
400
Find the coordinates of ∆LMN after a translation of 6 units to the right and 4 units down.
L(0, 3)
M(6, 4)
N(3, 9)
L'(6, -1), M'(12, 0), and N'(9, 5)
400
Triangle JKL has coordinates J(–4, 2), K(–3, 2) and L(–3, 4). The triangle is reflected in the y-axis and then in x-axis. What are the coordinates of the image?
J(4, –2), K(3, –2), and L(3, –4)
400
Figure QRST has vertices Q(2,-1), R (6,-1), S(6,-3) and T(2,-3). What are the coordinates of vertex R after the rectangle is rotated 90º counterclockwise about the origin?
R'(1, 6)
400
A rectangle (that is not a square) has a width and a length that are each increased by 2 units. Is the new rectangle similar to the original rectangle?
No
400
What is the algebraic rule for a 90° counterclockwise rotation about the origin?
(x, y) ---> (–y, x)
500
A square is translated 4 units left and 3 units down. Then the image is translated 8 units right and 1 unit up. Describe a transformation that would move the square from its ending position back to its starting position.
Move 4 units left and 2 units up.
500
Find the coordinates of rectangle DEFG after a reflection in the line y = x.
D(5,5)
E(5,8)
F(8,8)
G(8,5)
D'(5,5), E'(8,5), F'(8,8), G'(5,8)
500
Find the coordinates of ∆JKL after a rotation of 180º about point J.
J(–3, –2)
K(–5, –5)
L (–5, –2)
J'(–3, –2), K'(–1, 1), L'(–1,–2)?
500
The side lengths of a rectangle are increased by 25%. Is the resulting new rectangle similar to the original rectangle?
Yes
500
What are the coordinates of a point (x,y) after it rotates 90º clockwise?