1st 9 weeks Review (Transformations, Triangles, parallel lines)

Which rule best describes the transformation used to create ∆DEF from ∆ABC?

• (x, y) → (−x, y)

• (x, y) → (x + 3, y − 1)

• (x, y) → (−y, x)

• (x, y) → (x + 1, y − 3)

A trapezoid was transformed on a coordinate grid using the rule (x, y) → (–x, y). Which of the following describes this transformation?

• A 90° clockwise rotation about the origin

• A reflection across the y-axis

• A 180° clockwise rotation about the origin

• A reflection across the x-axis

Reflect trapezoid JKLM over the x-axis and write the algebraic rule to describe this transformation.

• (x, y) -> (x, y)

• (x, y) -> (-x, y)

• (x, y) -> (-y, x)

• (x, y) -> (x, -y)

Dilate ∆FED using the origin as the center of dilation and a scale factor of __ ​​ ​ ​ to form ∆KIT and the algebraic rule to describe this transformation is ___

• 1/2

  (x, y) -> (2x, 2y)

• 2

  (x, y) -> 2x, 1/2y)

• 1/2

  (x, y) -> (1/2x, 1/2y)

• 2

  (x, y) -> (1/2x, 1/2y)

Quadrilateral ABCD is dilated with the origin as the center of dilation to create quadrilateral A′B′C′D′.

Which rule best represents this transformation?

• (x, y) → (x, 5/2 y)

• (x, y) → (2x, 2y)

• (x, y) → (3x − 5, 3y − 5)

• (x, y) → ( 1/2 x, 1/2 y)

A polygon is graphed on a coordinate plane, with a vertex located at a point represented by (x, y).

The polygon is dilated with a scale factor, C , with the origin as the center of dilation. The image of the polygon is larger than the polygon.

Which statement is true?

• The value of C is equal to 1.

• The value of C is greater than or equal to zero, and is less than or equal to 1.

• The value of C is between zero and one.

• The value of C is greater than 1.

Which proportion must be true?

• 
• 
• 
• 

Circle I was dilated with the origin as the center of dilation to create Circle II.

Select all that apply to the dilation

• Scale Factor of 3/8

• Scale factor of 1

• Scale factor of 8/3

• Figure gets reduced

• Figure gets enlarged

Based on these triangles, which statement about x is true?

• x = 160,

  because 180 - (130 + 30) = 20 and 180 - 20 = 160

• x = 20,

  because 130 + 30 = 160 and 180 - 160 = 20

• x = 80,

  because 180 - 130 = 50 and 50 + 30 = 80

• x = 340,

  because 130 + 30 = 160 and 160 + 180 = 340

In the figure, LM ∥ PR. What is the measure of angle R?

• 42

• 90

• 32

• 48