Translation, Reflection, Rotation

Which rule would give the translation from point P (2, 5) to the image P′ (−1, 7)?

• Move 3 units left and 2 units up.
• Move 3 units right and 2 units up.
• Move 3 units left and 7 units up.
• Move 2 units right and 2 units up.

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2

CCSS.8.G.A.3

Point R′ (−2, 8) is the image of point R (−2, 2). Which of the following could be that transformation?

• A reflection across the y-axis
• A dilation with a scale factor of 4
• A translation of 6 units up
• A translation of 6 units to the right

Tags

CCSS.8.G.A.1

CCSS.8.G.A.3

In the figure, triangle PQR has vertices P(0, −1), Q(3, −1) and R(5, −3). What are the vertices of the image after the translation (x, y) → (x − 5, y + 1)?

• P′ (1, −6), Q′ (4, −6), R′ (6, −8)
• P′ (−5, 0), Q′ (−2, 0), R′ (0, −2)
• P′ (5, −2), Q′ (8, −2), R′ (10, −4)
• P′ (−1, 4), Q′ (2, 4), R′ (4, 2)

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2

CCSS.8.G.A.3

Square ABCD is translated by the rule (x – 3, y + 1). What are the coordinates of D′?

• (–2, 4)
• (4, 2)
• (0, 0)
• (–3, 4)

Tags

CCSS.8.G.A.1

CCSS.8.G.A.3

Triangle XYZ is translated so that X′ is at (4, –2). Which rule defines this translation?

• (x + 2, y – 6)
• (x – 6, y + 2)
• (2x, y – 6)
• (x – 2, y + 6)

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2

CCSS.8.G.A.3

The point (a, b) is reflected over the y-axis, then the x-axis, then the y-axis again, and then the y-axis again. What are the coordinates of the new point?

• (−a, b)
• (−a, −b)
• (a, −b)
• (a, b)

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2

CCSS.8.G.A.3

Point P (a, b) is reflected across the y-axis. Point P′ has coordinates (−b, q). Which of the following are true, regardless of the values of a, b, or q?

• a = −b and b = −q
• a = b and b = −q
• a = −b and b = q
• a = b and b = q

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

Which reflection does the image show?

• Reflection across the x-axis according to the rule (x, y) → (x, −y)
• Reflection across the y-axis according to the rule (x, y) → (x, −y)
• Reflection across the x-axis according to the rule (x, y) → (−x, y)
• Reflection across the y-axis according to the rule (x, y) → (−x, y)

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2

CCSS.8.G.A.3

A reflection is applied to triangle ABC according to the rule (x, y) → (x, –y). Which of the following will describe the effect of the reflection?

• A′ will stay as the top vertex.
• C′ will now be the top vertex.
• C′ will stay as the bottom vertex.
• B′ will be the bottom vertex.

Tags

CCSS.8.G.A.1

CCSS.8.G.A.3

A figure has a vertex at (a, b), in which a is a positive integer and b is a positive integer. What is the algebraic rotation rule that takes the figure to Quadrant III?

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

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6