Question 1 Trapezoid JKLM is shown on the coordinate plane below:

Trapezoid JKLM on the coordinate plane with ordered pairs at J negative 7, negative 2, at K negative 4, negative 2, at L negative 2, negative 5, at M negative 9, negative 5.

If trapezoid JKLM is translated according to the rule (x, y) → (x + 8, y − 3), what are the coordinates of point L′?
A. (1, −5)
B. (−10, 6)
C. (−5, 3)
D. (6, −8)

Question 2

Triangle XYZ is shown on the coordinate plane below:

Triangle XYZ on the coordinate plane with ordered pairs at X 4, 5, at Y 5, 3, at Z 1, 3

If triangle XYZ is reflected across the line y = 1 to create triangle X′Y′Z′, what is the ordered pair of X′?
A. (−4, 5)
B. (−2, 5)
C. (4, −3)
D. (4, −5)

Question 3

What set of reflections would carry hexagon ABCDEF onto itself?

Hexagon ABCDEF on the coordinate plane with point A at 1, 0, point B at 0, 1, point C at 1, 2, point D at 3, 2, point E at 4, 1, and point F at 3, 0.
A. y = x, x‒axis, y = x, y-axis
B. x‒axis, y = x, x‒axis, y = x
C. y-axis, x‒axis, y-axis
D. x‒axis, y-axis, y-axis

Question 4

Pentagon ABCDE and pentagon A″B″C″D″E″ are shown on the coordinate plane below:

'Pentagon ABCDE and pentagon A double prime B double prime C double prime D double prime E double prime on the coordinate plane with ordered pairs at A negative 4, negative 2, at B negative 6, negative 3, at C negative 5, negative 6, at D negative 2, negative 5, at E negative 2, negative 3, at A prime 3, 1, at B prime 1, 2, at C prime 2, 5, at D prime 5, 4, at E prime 5, 2.

Which two transformations are applied to pentagon ABCDE to create A″B″C″D″E″?
A. Translated according to the rule (x, y) → (x + 7, y + 1) and reflected across the x‒axis
B. Translated according to the rule (x, y) → (x + 1, y + 7) and reflected across the x‒axis
C. Translated according to the rule (x, y) → (x + 7, y + 1) and reflected across the y-axis
D. Translated according to the rule (x, y) → (x + 1, y + 7) and reflected across the y-axis

Question 5

triangle ABC in quadrant one with angle A measuring 63 degrees, triangle A prime B prime C prime in quadrant one to the right and above triangle ABC

Triangle ABC has been translated to create triangle A′B′C′. Which of the following statements is true?
A. m∠B′ = 63°
B. m∠C = 63°
C. m∠A′ = 63°
D. m∠B = 63°

Question 6

Which transformation represents a reflection over the x-axis?
A. (x, y) → (−x, y)
B. (x, y) → (x , −y)
C. (x, y) → (y, x)
D. (x, y) → (−y, x)

Question 7

Hexagon DEFGHI is translated on the coordinate plane below to create hexagon D′E′F′G′H′I′:

Hexagon DEFGHI and Hexagon D prime E prime F prime G prime H prime I prime on the coordinate plane with ordered pairs at D are 3, 5, at E 7, 5, at F 8, 2, at G 7, negative 1, at H 3, negative 1, at I 2, 2; at D prime negative 6, 2, at E prime negative 2, 2, at F prime negative 1, negative 1, at G prime negative 2, negative 4, at H prime negative 6, negative 4, at I prime negative 7, negative 1

Which rule represents the translation of hexagon DEFGHI to hexagon D′E′F′G′H′I′?
A. (x, y) → (x − 9, y − 3)
B. (x, y) → (x − 3, y − 9)
C. (x, y) → (x + 3, y + 3)
D. (x, y) → (x + 9, y + 9)

Question 8

Triangle DEF is translated using the rule (x, y) → (x − 2, y − 3) to create triangle D′E′F′. If a line segment is drawn from point D to point D′ and from point E to point E′, which statement would best describe the line segments drawn?
A. They are parallel and congruent.
B. They are perpendicular to each other.
C. They share the same midpoints.
D. They create diameters of concentric circles.

Question 9

Pentagon PQRST and its reflection, pentagon P′Q′R′S′T′, are shown in the coordinate plane below:

Pentagon PQRST and pentagon P prime Q prime R prime S prime T prime on the coordinate plane with ordered pairs at P negative 4, 6, at Q negative 7, 4, at R negative 6, 1, at S negative 2, 1, at T negative 1, 4, at P prime 4, 6, at Q prime 7, 4, at R prime 6, 1, at S prime 2, 1, at T prime 1, 4.

What is the line of reflection between pentagons PQRST and P′Q′R′S′T′?
A. x = 0
B. y = x
C. y = 0
D. x = 1

Question 10

A triangle has vertices at B(−3, 0), C(2, −1), D(−1, 2). Which transformation would produce an image with vertices B″(1, −2), C″(0, 3), D″(3, 0)?
A. (x, y) → (x + 1, y + 1), (x, y) → (y, x)
B. (x, y) → (x + 1, y + 1), (x, y) → (−x, y),
C. (x, y) → (x, −y), (x, y) → (x + 2, y + 2)
D. (x, y) → (−x, y), (x, y) → (x + 2, y + 2)