Transformations Test corrections

A rectangle is graphed on a coordinate grid. Which transformation will result in a rectangle that is NOT congruent to the original rectangle?

• A dilation by a scale factor of 3

• A rotation of 180° counterclockwise

• A translation 90 units to the right

• A reflection across the x-axis

Rectangle MNPQ is translated 4 units left and 3 units up. Write a rule that describes this transformation.

• (x, y) -> (x + 4, y - 3)
• (x, y) -> (x - 3, y + 4)
• (x, y) -> (x - 4, y + 3)
• (x, y) -> (x + 3, y - 4)

Which representation of a transformation on a coordinate grid does not preserve congruence?

• A.

• B.

• C.

• D.

A transformation is applied to a figure to create a new figure on a coordinate grid. Which transformation does NOT preserve congruence?

• A rotation of 270° counterclockwise

• A reflection across the y-axis

• A dilation by a scale factor of 1.5

• A translation of 50 units down

A figure was transformed on a coordinate grid using the rule . Which of the following describes this transformation?

• A reflection across the x-axis

• A reflection across the y-axis

• A 90° clockwise rotation about the origin

• A 180° clockwise rotation about the origin

Pentagon PQRST was graphed on a coordinate grid. Pentagon PQRST was rotated 90° counterclockwise about the origin to form pentagon P′Q′R′S′T′.

 

Which statement is true?

• The area of pentagon P′Q′R′S′T′ is not equal to the area of pentagon PQRST.

• Pentagon P′Q′R′S′T′ is not congruent to pentagon PQRST.

• The perimeter of pentagon P′Q′R′S′T′ is greater than the perimeter of pentagon PQRST.

• The angle measures of pentagon P′Q′R′S′T′ are congruent to the corresponding angle measures of pentagon PQRST.

Quadrilateral KLMN is similar to quadrilateral TUVW. Side lengths are given in centimeters.

Which proportion must be true?

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Triangle HJK is graphed on the coordinate grid. Triangle HJK will be transformed using the rule

(x, y) → (−x, y) to create triangle H′J′K′.

Which graph represents triangle H′J′K′?

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Trapezoid KLMN

 is reflected over the x-axis to form trapezoid  WXYZ.

Which statement is true?

• The area of trapezoid KLMN

   is greater than the area of trapezoid WXYZ

  .

• The angle measures of trapezoid KLMN

   are less than the corresponding angle measures of trapezoid WXYZ

  .

• The sum of the angle measures of trapezoid KLMN

   is twice the sum of the angle measures of trapezoid WXYZ

  .

• The side lengths of trapezoid KLMN

  are congruent to the corresponding side lengths of trapezoid 

  WXYZ

  .

Triangle ABC and triangle DEF are similar.. Which proportion must be true?

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