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Mathematics, 28.12.2019 09:31 CrownedQueen

1.
(05.06a)
angle mno is formed by segments mn and no on the coordinate grid below:

a coordinate plane is shown. angle mno has vertices at negative 4 comma 4 and negative 2 comma 2 and negative 4 comma 1 and measures 71.57 degrees.
angle mno is rotated 180 degrees counterclockwise about the origin to form angle m′n′o′. which statement shows the measure of angle m′n′o′? (5 points)

m∠m′n′o′ = 2 × m∠mno

m∠m′n′o′ = m∠mno

m∠m′n′o′ = 180 degrees

m∠m′n′o′ = 90 degrees

2.
(05.06a)
the figure below shows the letter m and four of its transformed images-a, b, c, and d:

a coordinate plane is shown. a figure m has endpoints at 3 comma 1, 3 comma 3, 5 comma 1 and 5 comma 3. figure a is shown with endpoints at negative 2 comma 1, negative 2 comma 3, negative 4 comma 1 and negative 4 comma 3. figure b has endpoints at negative 2 comma negative 1, negative 2 comma negative 3, negative 4 comma negative 1 and negative 4 comma negative 3. figure c has endpoints at 0 comma negative 1, 0 comma negative 3, 2 comma negative 1 and 2 comma negative 3. figure d has endpoints at 3 comma negative 1, 5 comma negative 1, 3 comma negative 3 and 5 comma negative 3.
which of the four images was formed by a reflection of the letter m? (5 points)

a

c

b

d

3.
(05.06a)
polygons qrst and q′r′s′t′ are shown on the following coordinate grid:

a coordinate plane with two polygons is shown. polygon qrst has vertices q at 3 comma negative 5, r at 2 comma negative 1, s at 5 comma 0, and t at 5 comma negative 4. polygon q prime r prime s prime t prime has vertices at q prime negative 5 comma negative 4, r prime at negative 1 comma negative 3, s prime at 0 comma negative 6, and t prime at negative 4 comma negative 6.
what set of transformations is performed on qrst to form q′r′s′t′? (5 points)

a translation 1 unit to the right followed by a 270-degree counterclockwise rotation about the origin

a 180-degree clockwise rotation about the origin followed by a translation 1 unit to the left

a translation 1 unit to the left followed by a 270-degree counterclockwise rotation about the origin

a 180-degree clockwise rotation about the origin followed by a translation 1 unit to the right

4.
(05.06a)
the figure below shows triangle pqr and some of its transformed images on a coordinate grid:

a coordinate plane is shown with five triangles. triangle pqr has vertices 2 comma 1, 5 comma 1, and 2 comma 4. triangle a has vertices negative 2 comma 1, negative 5 comma 1, and negative 5 comma 4. triangle b has vertices negative 6 comma 1, negative 6 comma 4, and negative 9 comma 1. triangle c has vertices negative 2 comma negative 1, negative 2 comma negative 4, negative 5 comma negative 4. triangle d has vertices 2 comma negative 1, 5 comma negative 1, and 5 comma negative 4.
which of the four triangles was formed by a translation of triangle pqr? (5 points)

c

b

a

d

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Answers: 3

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1.
(05.06a)
angle mno is formed by segments mn and no on the coordinate grid below:
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