Unit 6 Review

Which rule yields the dilation of the figure QRST centered at the origin?

• (x, y) → (3x, 3y)

• (x, y) → (x + 3, y + 3)

Pentagon FGHJK is shown on the coordinate grid. Pentagon FGHJK is dilated with the origin as the center of the dilation using the rule (x, y) → (1/3x, 1/3y) to create pentagon F'G'H'J'K'. Which statement is true?

• Pentagon F'G'H'J'K' is smaller than pentagon FGHJK because the scale factor is greater than one.

• Pentagon F'G'H'J'K' is smaller than pentagon FGHJK because the scale factor is less than one.

• Pentagon FGHJK is smaller than pentagon F'G'H'J'K' because the scale factor is less than one.

• Pentagon F'G'H'J'K' is larger than pentagon FGHJK because the scale factor is less than one.

Triangle ABC is rotated 90° about the origin to form triangle A’B’C’. Which statement is true?

• The area of triangle ABC is less than the area of A’B’C’.

• Triangle ABC is not congruent to triangle A’B’C’.

• The sum of the angles of triangle ABC is 90° less than the sum of the angles of A’B’C’.

• The angle measures of triangle ABC are equal to the angle measures of triangle A’B’C’.

A square with a perimeter of 35 units is graphed on a coordinate grid. The square is dilated by a scale factor of 0.8. Which ordered pair represents the coordinates of the corresponding point on the resulting square?

• (35x, 35y)

• (0.8x, 0.8y)

• (x + 35, y + 35)

• (x + 0.8, y + 0.8)

Hexagon PQRSTU is shown on the grid. A student reflected hexagon PQRSTU across the x-axis to create hexagon P'Q'R'S'T'U'. Which rule describes this transformation?

• (x, y) → (-x, y)

• (x, y) → (x, -y)

• (x, y) → (-x, -y)

• (x, y) → (-y, x)

If both the length and width of a rectangle are doubled, how is the area of the rectangle changed?

• The area is four times larger

• The area is doubled

• The area is increased by 2 units

• The area is increased by 4 units

A transformation is applied to a figure to create a new figure. Which of the following does NOT preserve congruence?

• A. A rotation of 180° clockwise

• B. A reflection across the x-axis

• C. A translation of 5 units left

• D. A dilation by a scale factor of 3.5

Quadrilateral ABCD was translated 5 units to the left and 3 units up. Which rule describes the translation that was applied to quadrilateral ABCD to create A'B'C'D'?

• (x, y) → (x + 5, y + 3)

• (x, y) → (x - 5, y + 3)

• (x, y) → (-5x, 3y)

• (x, y) → (5x, 3y)

Figure I and Figure II are similar figures. Using the figures, determine which of the following proportions must be true?

Suppose a triangle has angles of 45°, 75°, and 60° is reflected across the x-axis. Which would be one of the new angles?

• 92

• 75

• 68

• 49