02.01 LC)

Figure EFGHK as shown below is to be transformed to figure E′F′G′H′K′ using the rule
(x, y) → (x + 8, y + 5):

Figure EFGHK is drawn on a 4 quadrant coordinate grid with vertices at E 3, negative 4. F is at 5, 1. G is at 3, 5. H is at negative 4, 3. K is at negative 2, negative 3.

Which coordinates will best represent point E′?

Group of answer choices

(1, 11)

(4, 8)

(8, 4)

(11, 1)

Flag question: Question 2
Question 2 4 pts
(02.01 MC)

Triangle JKL has been reflected over the y-axis. Which of the following best describes the relationship between the y-axis and the line connecting K to K′?

Group of answer choices

They share the same midpoints.

They are diameters of concentric circles.

They are parallel and congruent.

They are perpendicular to each other.

Flag question: Question 3
Question 3 4 pts
(02.02 MC)

Which of the following would be a line of reflection that would map ABCD onto itself?

Square ABCD with A at negative 3 comma 0, B at negative 3 comma 2, C at negative 1 comma 2, and D at negative 1 comma 0.

Group of answer choices

y = 2

3x + y = 1

3x + y = −1

−3x + 3y = 9

Flag question: Question 4
Question 4 4 pts
(02.02 MC)

Figure EFGH on the grid below represents a trapezoidal plate at its starting position on a rotating machine platform:

Trapezoid EFGH with vertices E at negative 4 comma 8, F at negative 7 comma 5, G at negative 4 comma 3, and H at negative 2 comma 5.

The plate is rotated 360° about the origin in the clockwise direction. Which of the following is formed when the arcs of rotation are drawn for each point as it is rotated?

Group of answer choices

They form parallel segments.

They form perpendicular segments.

They form congruent segments.

They form concentric circles.

Flag question: Question 5
Question 5 4 pts
(02.02 MC)

Sunita performed a transformation on trapezoid LMNQ to create L′M′N′Q′, as shown in the figure below:

A four quadrant coordinate grid is drawn. Trapezoid LMNQ with coordinates are drawn at L negative 7, negative 2. M is at negative 5, negative 2. N is at negative 3, negative 4. Q is at negative 8, negative 5. Trapezoid P prime Q prime R prime S prime with coordinates are drawn at L prime negative 2, 7. M prime is at negative 2, 5. N prime is at negative 4, 3. Q prime is at negative 5, 8.

What transformation did Sunita perform to create L′M′N′Q′?

Group of answer choices

Rotation of 90° counterclockwise about the origin

Rotation of 270° counterclockwise about the origin

Reflection across the x‒axis

Reflection across the line of symmetry of the figure