1.
(02.01)

the figure shows triangle xyz and some of its transformed images on a coordinate grid:

a coordinate plane is shown with five triangles. triangle xyz has vertices 2 comma 4, 5 comma 5, and 3 comma 0. triangle a has vertices negative 9 comma 5, negative 7 comma 0, and negative 6 comma 4. triangle b has vertices negative 5 comma 4, negative 4 comma 0, and negative 2 comma 5. triangle c has vertices negative 3 comma 0, negative 5 comma negative 3, negative 2 comma negative 5. triangle d has vertices 5 comma 0, 3 comma negative 3, and 6 comma negative 5.
which of the four triangles was formed by a translation of triangle xyz? (4 points)

a

b

c

d
2.
(02.02)

the figure shows the letter z and four of its transformed images—a, b, c, and d:

a coordinate plane is shown. the letter z has endpoints at negative 6 comma 3, negative 6 comma 1, negative 4 comma 1 and negative 4 comma 3 and has a diagonal line that goes from top right to bottom left in between. a is a shape that has endpoints at 4 comma 3, 4 comma 1, 6 comma 3 and 6 comma 1 and has a diagonal line that goes from top left to bottom right. b has endpoints at negative 6 comma negative 1, negative 6 comma negative 3, negative 4 comma negative 1 and negative 4 comma negative 3 and has a diagonal line that goes from top right to bottom left. c has endpoints at negative 3 comma negative 1, negative 3 comma negative 3, negative 1 comma negative 1, negative 1 comma negative 3, and has endpoints that go from top left to bottom right. d has endpoints at 2 comma negative 1, 2 comma negative 3, 4 comma negative 1, and 4 comma negative 3 and has a diagonal that goes from top right to bottom left.
which of the four images was formed by a reflection of the letter z? (4 points)

a

b

c

d
3.
(02.02)

angle xyz is formed by segments xy and yz on the coordinate grid:

a coordinate plane is shown. angle xyz has endpoints at 3 comma negative 1 and 6 negative 2 and 3 comma negative 3 and measures 36.87 degrees.
angle xyz is rotated 270 degrees counterclockwise about the origin to form angle x′y′z′. which statement shows the measure of angle x′y′z′? (4 points)

m∠x′y′z′ = m∠xyz

m∠x′y′z′ = 180 degrees

m∠x′y′z′ = 270 degrees

m∠x′y′z′ = 2 × m∠xyz
4.
(02.02)

polygons efgh and e′f′g′h′ are shown on the coordinate grid:

a coordinate plane with two polygons is shown. polygon efgh has vertices e at 1 comma 1, f at 1 comma 4, g at 5 comma 4, and h at 4 comma 1. polygon e prime f prime g prime h prime has vertices at e prime negative 1 comma 2, f prime negative 4 comma 2, g prime negative 4 comma 6, and h prime at negative 1 comma 5.
what set of transformations is performed on efgh to form e′f′g′h′? (4 points)

a translation 1 unit to the left followed by a 90-degree counterclockwise rotation about the origin

a translation 1 unit to the right followed by a 90-degree counterclockwise rotation about the origin

a 90-degree clockwise rotation about the origin followed by a translation 2 units to the right

a 90-degree clockwise rotation about the origin followed by a translation 2 units to the left
5.
(02.03)

figure xyz is reflected about the y-axis to obtain figure x′y′z′:

a coordinate plane is shown triangle xyz has vertices x at 5 comma negative 4, vertex y at 2 comma negative 4, and z at 4 comma negative 1. triangle x prime y prime z prime has vertices at x prime negative 5 comma negative 4, y prime at negative 2 comma negative 4, and z prime at negative 4 comma negative 1.
which statement best describes the relationship between the two figures? (4 points)

figure xyz is bigger than figure x′y′z′.

figure xyz is congruent to figure x′y′z′.

the measure of angle r is equal to the measure of angle s′.

the measure of angle r is equal to the measure of angle t′.
6.
(02.01/02.02)

a triangle is shown on the graph:

a coordinate plane is shown. a triangle has vertices at negative 6 comma 2, negative 5 comma 5, negative 2 comma 2.
what effect will a 90-degree clockwise rotation have on the triangle? be sure to address how it could impact the angles, side lengths, and any congruency between the original pre-image and the image. (5 points)

7.
(02.01)

a polygon is shown on the graph:

a polygon is shown on a coordinate plane. the vertices are a at negative 6 comma 5, b at negative 6 comma 2, c at negative 2 comma 2, and d at negative 2 comma 6.
if the polygon is translated 4 units down and 5 units right, what will the coordinates of the new image be? use prime notation in expressing the new coordinates. (5 points)