Transformations, Translations, and Tigers! Oh My!

Triangle WRG has angle angles that measure 68º, 79º, and 33º as shown in the picture. It is rotated 90º clockwise about the origin to form Triangle W'R'G'. What is the measure of angle R'?

• 68º

• 79º

• 33º

• 180º

Point P(-4, -6)is translated 3 units left and two units up. What are the coordinates of P'?

• (-1, -4)

• (-7,-4)

• (-3,-2)

• (-2, 3)

PQ is located at P( -3,-1) and Q ( -6,1). Which of these is the result of reflecting PQ over the x-axis?

• 
• 
• 
• 

If two angles are congruent, then

• the sum of the two angles is 90°.

• the sum of the two angles is 180°.

• the two angles are both acute.

• the two angles have equal measures.

Tags

CCSS.8.G.A.2

Rectangle DEFG is reflected over the y-axis to form rectangle D 'E 'F 'G '.

What is the length of line segment D ' G ' ?

• 4

• 8

• 9

• 14

Which coordinate point represents the solution?

• (6,6)

• (55,75)

• (30,30)

• (75,0)

A geometric transformation is described algebraically as shown below. (x, y) → (4x, 4y) Which best describes this transformation?

• a translation 3 units up and 3 units to the right

• a translation 3 units down and 3 units to the left

• a 180° degree rotation centered at the point (3, 3)

• a dilation with scale factor 4 centered at the origin

Which value is the x-coordinate of the solution?

• -5

• -3

• -2

• 0

Tags

CCSS.8.EE.C.8B

A system of equations is shown below. 2x + y = 9 x + 3y = −13 Which sequence of operations would produce the correct x- or y-value of the solution to this system of equations?

• multiply the first equation by 3 and add the result to the second equation to eliminate y and solve for x

• multiply the second equation by -1 and add the result to the first equation to eliminate x and solve for y

• multiply the second equation by -9/13 and add the result to the first equation to eliminate the constant and solve for x and y

• multiply the first equation by -3 and add the result to the second equation to eliminate y and solve for x

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

At what point do the graphs of the equations y = -2x - 4 and y = x + 5 intersect?

• A) (3, 2)

• B) (-3, 2)

• C) (3, -2)

• D) (-3, -2)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6