Question

Is anyone willing to check my geometry quiz? Only SEVEN questions. :)

Answer 1

If rectangle ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180°, where would point A' lie?

Rectangle formed by ordered pairs A at negative 4, 1, B at negative 4, 2, C at negative 1, 2, D at negative 1, 1.

(1,-1)

(1,1)

(-4,-1)

(-4,1)


Question 2 (Multiple Choice Worth 4 points)

What set of transformations are applied to parallelogram ABCD to create A'B'C'D'?

Parallelogram formed by ordered pairs A at negative 4, 1, B at negative 3, 2, C at negative 1, 2, D at negative 2, 1. Second parallelogram transformed formed by ordered pairs A prime at 4, negative 1, B prime at 3, negative 2, C prime at 1, negative 2, D prime at 2, negative 1.

Reflected over the x-axis and reflected over the y-axis

Reflected over the y-axis and rotated 180°

Reflected over the x-axis and rotated 90° counterclockwise

Reflected over the y-axis and rotated 90° counterclockwise


Question 3 (Multiple Choice Worth 4 points)

What set of rotations would carry parallelogram ABCD onto itself?

Parallelogram formed by ordered pairs A at negative 4, 1, B at negative 3, 2, C at 0, 2, D at negative 1, 1.

Rotate 180°, reflect over the x-axis, reflect over the line y=x

Reflect over the x-axis, rotate 180°, reflect over the x-axis

Rotate 180°, reflect over the y-axis, reflect over the line y=x

Reflect over the y-axis, reflect over the x-axis, rotate 180°

Question 4 (Multiple Choice Worth 2 points)

Parallelogram JKLM is shown on the coordinate plane below:

Parallelogram JKLM with ordered pairs at J negative 6, 2, at K negative 4, 6, at L negative 3, 3, at M negative 5, negative 1.

If parallelogram JKLM is rotated 270° clockwise around the origin, what are the coordinates of the endpoints of the side congruent to side KL in the image parallelogram?

K'(-4, -6); L'(3, -3)

K'(-6, -4); L'(-3, -3)

K'(6, 4); L'(3, 3)

K'(-4, 6); L'(-3, -3)


Question 5 (Multiple Choice Worth 2 points)

Triangles DEF and D'E'F' are shown on the coordinate plane below:

Triangle DEF and triangle D prime E prime F prime with ordered pairs at D negative 1, 6, at E 1, 3, at F 6, 3, at D prime negative 6, negative 1, at E prime negative 3, 1, at F prime negative 3, 6.

What rotation was applied to triangle DEF to create triangle D'E'F'?

90° counterclockwise

90° clockwise

None of the above

180°

Question 6 (Multiple Choice Worth 2 points)


Pentagon ABCDE is shown on the coordinate plane below:

Pentagon on coordinate plane with ordered pairs at A negative 2, 4, at B negative 6, 2, at C negative 5, negative 2, at D 1, negative 2, at E 2, 2 .

If pentagon ABCDE is rotated 180° around the origin to create pentagon A'B'C'D'E', what is the ordered pair of point C'?

(-5, 2)

(5, 2)

(2, -5)

(-2, 5)

Question 7 (Multiple Choice Worth 4 points)

(MC 02.03)

What set of transformations could be applied to rectangle ABCD to create A'B'C'D'?

Rectangle formed by ordered pairs A at negative 4, 2, B at negative 4, 1, C at negative 1, 1, D at negative 1, 2. Second rectangle transformed formed by ordered pairs A prime at 4, negative 2, B prime at 4, negative 1, C prime at 1, negative 1, D prime at 1, negative 2.

Reflected over the x-axis and reflected over the y-axis

Reflected over the y-axis and rotated 180°

Reflected over the x-axis and rotated 90° counterclockwise

Reflected over the y-axis and rotated 90° counterclockwise