Unit 5 Transformations Review

CompositionsTranslations Reflections RotationsDilations & Similarity

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Topic 1 – 10 Points

QUESTION:

• Write the translation rule for the following: 7 to the left and 3 up

ANSWER:

• (x, y)(x – 7, y + 3)

Topic 1 – 20 Points

QUESTION:

• Describe the translation using a translation rule

ANSWER:

• (x, y)(x + 4, y – 3)

Topic 1 – 30 Points

QUESTION:

• ∆ABC has vertices at A(0, 5), B(4, 4), and C(1, 0). Find the coordinates of ∆ABC for the translation (x,y) (x-4, y+6)

ANSWER:

• A’(-4,11) B’(0,10) C’(-5,6)

Topic 1 – 40 Points

QUESTION:

• Given the point M (8, -15) and the point M’ (4, -6), write the translation rule that matches the transformation.

ANSWER:

• (x, y)(x – 4, y + 9)

Topic 1 – 50 Points

QUESTION:Find MATH for a translation (x, y)(x - 1, y +2 )

ANSWER:• M’(-3, 4), A’(2, 2), T’(-1, -2), H’(-5, 0)

Topic 2 – 10 Points

QUESTION:

• What is the image of (6, 6) after a reflection across the y-axis

ANSWER:

• (6,6)

Topic 2 – 20 Points

QUESTION:

• What is the image of (5, -4) after a reflection across the line y = x?

ANSWER:• (-4, 5)

Topic 2 – 30 Points

QUESTION:

• What is the image of (2, 19) after a reflection across the x-axis

ANSWER:

• (-2, -19)

Topic 2 – 40 Points

QUESTION:

• Find the image when C is reflected over the line y = -1.

ANSWER:

• (-2, -4)

Topic 2 – 50 Points

QUESTION:Find MATH for a reflection across the x-axis

ANSWER:• M’(-2, -2), A’(3, 0), T’(0, 4), H’(-4, 2)

Topic 3 – 10 Points

QUESTION: Find the image when F (9, -3) is rotated 90˚ clockwise about the origin.

ANSWER:• (-3, -9)

Topic 3 – 20 Points

QUESTION:

Find the image when F (9, -3) is rotated 90˚ counterclockwise about the origin.

ANSWER:

• (3, 9)

Topic 3 – 30 Points

QUESTION:

What is the angle that rotates S to A? (clockwise)

ANSWER:240˚

Topic 3 – 40 Points

QUESTION:

• Point M(4, -7) is a vertex of a rectangle with vertices M A T H. What are the coordinates of M’ after it is rotated 180 degrees?

ANSWER:

• (-4, 7)

Topic 3 – 50 Points

QUESTION:

Find MATH for a rotation of 90 Counterclockwise

ANSWER:

• M’(-2, -2), A’(0, 3), T’(4, 0), H’(2, -4)

Topic 4 – 10 Points

QUESTION:

•Is this an enlargement or a reduction? What is the scale factor? (dotted is the image )

ANSWER:EnlargementSF = 3

Topic 4 – 20 Points

QUESTION:

• Are the two figures similar? If so, write a similarity statement and the scale factor.

ANSWER:• XYZ~PRQ SF = .6 or 2/3 or 3/2 or 1.5

Topic 4 – 30 Points

QUESTION:

• Solve for x.

ANSWER:

• x = 6

Topic 4 – 40 Points

QUESTION:

Find MATH for a Dilation w/ center(0, 0)and scale factor 2

ANSWER:• M’(-4, 4), A’(6, 0), T’(0, -8), H’(-8, -4)

Topic 4 – 50 Points

QUESTION:

• You want to determine the height of your school building. The building casts a 6-foot shadow at the same time you cast a 15-inch shadow. If you are 5 feet tall, how tall is the school building?

ANSWER:

• 288in = 24ftUnits…

Topic 5 – 10 Points

QUESTION:Find MATH for a glide reflection with translation (x, y) (x, y +2) and reflection across the y-axis

ANSWER:• M’(2, 4), A’(-3, 2), T’(0, -2), H’(4, 0)

Topic 5 – 20 Points

QUESTION:For Y(-2, 7) and Z(6, 12), Find the FINAL coordinates after the following composition:• Translate 2 units right and 5 units down• Rotate the line segment 90 degrees counterclockwise

ANSWER:

• Y”(-2, 0) and Z”(-7, 8)

Topic 5 – 30 Points

QUESTION:For Y(-2, 7) and Z(6, 12), Find the FINAL coordinates after the following composition:• Rotate 180 degrees • Reflect over the y-axis

ANSWER:

• Y”(-2, -7) and Z”(6, -12)

Topic 5 – 40 Points

QUESTION:For Y(-2, 7) and Z(6, 12), Find the FINAL coordinates after the following composition:• Translate 6 units left and 4 units up• Dilate using a scale factor of 3

ANSWER:

• Y”(-24, 33) and Z”(0, 48)

Topic 5 – 50 Points

QUESTION:For Y(-4, 8) and Z(16, 28), Find the FINAL coordinates after the following composition:• Dilate using a scale factor of (0.25)• Rotate 90 degrees clockwise

ANSWER:

• Y”(2, 1) and Z”(7, -4)

BONUS!!

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