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Mathematics, 08.02.2021 17:20 ksawyer745

The figure shows triangle MNO and some of its transformed images on a coordinate grid: A coordinate grid is shown from positive 8 to negative 8 on the x-axis and from positive 8 to negative 8 on the y-axis. A triangle labeled MNO is shown on ordered pair 2, 1 and 2, 4 and 4, 1. Another triangle labeled image D is shown on ordered pair 2, negative 1 and 2, negative 4 and 4, negative 1. Another triangle labeled image C is shown on ordered pair negative 2, negative 1 and negative 2, negative 4 and negative 4, negative 1. Another triangle labeled image B is shown on ordered pair negative 6, 1 and negative 6, 4 and negative 4, 1. Another triangle labeled image A is shown on ordered pair negative 2, 1 and negative 2, 4 and negative 4, 1.
Which of the four triangles was formed by a translation of triangle MNO? (1 point)

Group of answer choices

A

B

C

D

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Question 21 pts
(02.01 MC)

The figure shows a pair of parallel line segments on a coordinate grid:

A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A line segment MN is shown with M as ordered pair 2, 2 and N as ordered pair 5, 2. Another line segment OP is shown with O as ordered pair 2, 1 and P as ordered pair 5, 1.
The line segments are translated 2 units to the left to form M′N′ and O′P′. Which statement describes M′N′ and O′P′? (1 point)

Group of answer choices

Line segments M′N′ and O′P′ intersect at (−2, 0) and are two times farther apart than MN and OP.

Line segments M′N′ and O′P′ do not intersect and are the same distance apart as MN and OP.

Line segments M′N′ and O′P′ intersect at (0, −2) and are two times farther apart than MN and OP.

Line segments M′N′ and O′P′ do not intersect and are closer together than MN and OP.

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Question 31 pts
(02.02 LC)

The figure shows the letter W and four of its transformed images—A, B, C, and D:

A coordinate grid is shown from positive 8 to negative 8 on the x-axis and from positive 8 to negative 8 on the y-axis. An image of the letter W is shown on negative 2, 3 and negative 2, 1 and negative 3, 2 and negative 4, 1, and negative 4, 3. An image of the letter M is shown on ordered pair 1, 1 and 1, 3 and 2, 3 and 3, 1 and 3, 3. This M is labeled as D. Another image of letter M is shown on ordered pair 4, negative 43 and 4, negative 1 and 5, negative 32 and 6, negative 1 and 6, negative 3. This M is labeled as B. Another image of letter M labeled C is shown on negative 4, negative 3 and negative 4, negative 1 and negative 3, negative 2 and negative 2, negative 1 and negative 2, negative 4. Another image of the letter W is shown on 1, negative 1 and 1, negative 3 and 2, negative 2 and 3, negative 1 and 3, negative 3. This W is labeled as A. The letters A, B, C, D are written towards the bottom left of the respective W and M.
Which of the four images was formed by a reflection of the letter W? (1 point)

Group of answer choices

A

B

C

D

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Question 41 pts
(02.02 MC)

Angle PQR is formed by segments PQ and QR on the following coordinate grid:

A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A line segment PQ is shown with P as ordered pair negative 1, negative 1 and Q as ordered pair negative 5, negative 4. Another line segment QR is shown with R as ordered pair negative 1, negative 4.
Angle PQR is rotated 90 degrees counterclockwise about the origin to form angle P′Q′R′. Which statement shows the measure of angle P′Q′R′? (1 point)

Group of answer choices

m∠P′Q′R′ = 90 degrees

m∠P′Q′R′ = 180 degrees

m∠P′Q′R′ = m∠PQR

m∠P′Q′R′ = 2 ⋅ m∠PQR

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Question 51 pts
(02.03 LC)

Triangle ABC is transformed to triangle A′B′C′, as shown below:

A coordinate grid is shown from negative 4 to 0 to 4 on both x- and y-axes. A triangle ABC has A at ordered pair negative 1, 3, B at ordered pair 0, 1, C at ordered pair negative 3, 0. A triangle A prime B prime C prime has A prime at ordered pair negative 1, negative 3, B prime at ordered pair 0, negative 1, C prime at ordered pair negative 3, 0.
Which equation shows the correct relationship between the measures of the angles of the two triangles? (1 point)

Group of answer choices

The measure of angle CAB = The measure of angle C prime B prime A prime

The measure of angle BCA = The measure of angle A prime B prime C

The measure of angle CAB = The measure of angle C prime A prime B prime

The measure of angle BCA = The measure of angle C prime A prime B prime

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