Transformations and Similarity

Which series of transformations were performed in the figure?

• Translation 5 units down, reflection over the y-axis

• Reflection over the x-axis, translation 6 units right

• Rotation 90^o clockwise, reflection over the x-axis

• Rotation 180^o clockwise, reflection over the y-axis

One side of a triangle on the coordinate plane is 4 units long. If it undergoes a dilation about the origin with a scale factor of 2, what will the length be?

• 2
• 4
• 8
• 16

Suppose a triangle with the vertices A(–2, 4), B(–1, –3), and C(4, –2) were dilated, with the center of dilation at the origin and with a scale factor of 2. What will be the coordinates of C'?

• (2, -1)
• (8, -4)
• (8, 4)
• (2, 1)

Which of the statements is true about the graphed triangles?

• They are similar, because one can be obtained by dilating the other about the origin with a scale factor of 2.
• They are similar, because one can be obtained by dilating the other about the origin with a scale factor of 1/2.
• They are not similar, because one can be obtained by dilating the other about the origin with a scale factor of 2.
• They are not similar, because one can be obtained by dilating the other about the origin with a scale factor of 1/2.

Which of the following are Dilations?

• (x, y) → (x, 3y)
• (x, y) → (3x, 3y)
• (x, y) → (x, y - 3)
• (x, y) → (.5x, .4y)

Determine how to translate triangle ABC to triangle A'B'C'.

• (x-2, y+5)

• (x+2, y-9)

• (x-2, y+9)

• (x-9, y+2)

The image shows what type of transformation

• Rotation

• Translation

• Reflection across the x axis

• Reflection across the y axis

Identify the transformation from ABC to A'B'C'.

• Reflection across the x-axis

• Reflection across the y-axis

• 90^o clockwise rotation

• 90^o counterclockwise rotation

If you were to rotate ABCD 90° counterclockwise about the origin, what would the coordinate of A' be?

• (-5, 5)

• (-3, 5)

• (-5, 3)

• (-3, 3)

What does congruent mean?

• corresponding sides and angles are congruent

• corresponding sides are proportional and corresponding angles are congruent

• sames shape

• neither sides or angles are congruent