Multiple Step Transformations

Two trapezoids are shown on the coordinate grid. Which sequence of transformations shows that the two trapezoids are congruent?

• Translate Trapezoid 1 to the right 6 units, then translate the resulting down 2 units.

• Reflect Trapezoid 1 across the x-axis, then reflect the resulting figure across the y-axis.

• Translate Trapezoid 1 to the right 6 units, then reflect the resulting figure across the x-axis.

• Translate Trapezoid 1 down 2 units, then reflect the resulting figure across the y-axis.

Construct the composite function for a transformation of a triangle that is dilated by a factor of 5, then translated 2 units right and 7 units down.

Construct the composite function for a transformation of a quadrilateral that is translated 6 units left and 2 units up, then reflected over the line y = -x.

Triangle EGF will be rotated 90° counterclockwise around the origin and will then be reflected across the y-axis, producing an image triangle. Which additional transformation will map the image triangle back onto the original triangle?

• Rotation 270° counterclockwise around the origin

• Reflection across the line y = -x

• Rotation 180° counterclockwise around the origin

• Reflection across the line y = x

• -6

• 6

• 12

• 0

• -5

• 5

• 10

• 3

Solve the equation
12x - 15 = 3(2x+3)

• x = 4

• x = -4

• x = 2

• x = -2

2(2x + 3) = -6(x + 9)

• x = -2

• x = 6

• x = -6

• x = 2

How many solutions does this equation have?

• No Solution

• Infinite Solutions

• One Solution

Solve: 5x - 14 = 8x + 4

• 6

• -6

• 9

• -9