Question 1(Multiple Choice Worth 1 points)

(02.01 MC)

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)?

(x, y) → (x + 1, y + 1) → (y, x)
(x, y) → (x + 1, y + 1) → (−x, y)
(x, y) → (x, −y) → (x + 2, y + 2)
(x, y) → (−x, y) → (x + 2, y + 2)
Question 2(Multiple Choice Worth 1 points)


(02.01 MC)

Triangle XYZ is shown on the coordinate plane.

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 translated using the rule (x, y) → (x + 1, y − 4) and then reflected across the x-axis to create triangle X″Y″Z″, what is the location of Y″?

(−1, 6)
(2, 1)
(5, −1)
(6, 1)

Question 3(Multiple Choice Worth 1 points)

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 6, negative 4, at Q prime 4, negative 7, at R prime 1, negative 6, at S prime 1, negative 2, at T prime 4, negative 1.

What is the line of reflection between pentagons PQRST and P′Q′R′S′T′?

y = x
y = 0
x = 1
x = 0

Question 4(Multiple Choice Worth 1 points)

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, 5, at B negative 6, 4, at C negative 5, 1, at D negative 2, 2, at E negative 2, 4, at A prime 4, negative 7, at B prime 2, negative 6, at C prime 3, negative 3, at D prime 6, negative 4, at E prime 6, negative 6.

Which two transformations are applied to pentagon ABCDE to create A″B″C″D″E″?

Translated according to the rule (x, y) → (x + 8, y + 2) and reflected across the x‒axis
Translated according to the rule (x, y) → (x + 2, y + 8) and reflected across the y-axis
Translated according to the rule (x, y) → (x + 8, y + 2) and reflected across the y-axis
Translated according to the rule (x, y) → (x + 2, y + 8) and reflected across the x‒axis

Question 5(Multiple Choice Worth 1 points)

Trapezoid JKLM is shown on the coordinate plane.

Trapezoid JKLM on the coordinate plane with ordered pairs at J negative 2, 1, at K 1, 1, at L 3, negative 2, at M negative 4, negative 2.

If trapezoid JKLM is translated using the rule (x, y) → (x + 3, y − 3) and then translated using the rule (x, y) → (x + 1, y − 2) to create trapezoid J″K″L″M″, what is the location of L″?

(−4, 5)
(2, −4)
(7, −7)
(9, −6)

Question 6(Multiple Choice Worth 1 points)

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.

y = x, x‒axis, y = x, y-axis
x‒axis, y = x, x‒axis, y = x
y-axis, x‒axis, y-axis
x‒axis, y-axis, y-axis

Question 7(Multiple Choice Worth 1 points)

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?

m∠B′ = 63°
m∠C = 63°
m∠A′ = 63°
m∠B = 63
°
Question 8(Multiple Choice Worth 1 points)

Trapezoid JKLM is shown on the coordinate plane below:

Trapezoid JKLM on the coordinate plane with ordered pairs at J negative 2, 1, at K 1, 1, at L 3, negative 2, at M negative 4, negative 2.

If trapezoid JKLM is translated according to the rule (x, y) → (x + 5, y − 4), what are the coordinates of point L′?

(3, −3)
(1, −6)
(8, −6)
(−1, 3)

Question 9(Multiple Choice Worth 1 points)


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 2, 5, at E 5, 5, at F 6, 3, at G 5, 1, at H 2, 1, at I 1, 3, at D prime negative 6, negative 2, at E prime negative 3, negative 2, at F prime negative 2, negative 4, at G prime negative 3, negative 6, at H prime negative 6, negative 6, at I prime negative 7, negative 4

Which rule represents the translation of hexagon DEFGHI to hexagon D′E′F′G′H′I′?

(x, y) → (x − 8, y − 7)
(x, y) → (x − 7, y − 8)
(x, y) → (x − 4, y − 5)
(x, y) → (x − 5, y − 4)

Question 10(Multiple Choice Worth 1 points)

Which transformation represents a reflection over the y = x line?

(x, y) → (−x, y)
(x, y) → (−x, −y)
(x, y) → (y , x)
(x, y) → (y, −x)