Benchmark #1 Review

• Rotate △XYZ clockwise 90° about the origin; translate 10 units down.

• Rotate △XYZ clockwise 180° about the origin; translate 1 units up.

• Rotate △XYZ counterclockwise 90° about the origin; translate 10 units down.

• Rotate △XYZ counterclockwise 180° about the origin; translate 1 units up.

Tags

CCSS.8.G.A.3

Place the phrase that best completes the sentence.

Three shapes are plotted on the coordinate plane.

Figure 1 can be transformed onto Figure 2 by ​​ (a)  

• vertical translation then horizontal translation
• a reflection about the x-axis then a translation
• reflection about origin followed by translation
• reflection about y-axis then rotation about origin

Tags

CCSS.8.G.A.3

Which sequence of transformations shows that Figure 1 is congruent to Figure 2?

• Figure 2 is obtained by reflecting Figure 1 across the x-axis and then translating it 2 units right and 8 units up.

• Figure 2 is obtained by reflecting Figure 1 across the x-axis and then translating it 2 units left and 8 down.

• Figure 2 is obtained by reflecting Figure 1 across the y-axis and then translating it 2 units right and 8 units up.

• Figure 2 is obtained by reflecting Figure 1 across the y-axis and then translating it 2 units left and 8 units down.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Place the phrase that best completes the sentence.

Three shapes are plotted on the coordinate plane.

Figure 1 can be transformed onto Figure 3 by ​​ ​ (a)  

• vertical translation then horizontal translation
• a reflection about the x-axis then a translation
• reflection about origin followed by translation
• reflection about y-axis then rotation about origin

Tags

CCSS.8.G.A.3

Which of these sequences are correct?

• 
  △A⁢B⁢C is translated 4 units to the right and then reflected about the y-axis.

• 
  △A⁢B⁢C is reflected about the origin and then translated 4 units to the right.

• 
  △A⁢B⁢C is reflected about the x-axis and then translated 4 units to the right.

• 
  △A⁢B⁢C is reflected about the y-axis and then reflected about the x-axis.

Tags

CCSS.8.G.A.3

Consider the two parallelograms.

• a reflection across the x-axis followed by a dilation about the origin by a scale factor of 1/2

• a reflection across the x-axis followed by a translation right 1 unit and down 2 units

• a reflection across the y-axis followed by a dilation about the origin by a scale factor of 1/2

• a reflection across the y-axis followed by a translation right 1 unit and down 2 units

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2

If the equation y = mx + b can be used to model the relationship between x and y, what is the value of b?

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

What is the value of x?

Tags

CCSS.8.G.A.5

Which two statements are true?

• Angles 1 and 4 are congruent

• Angles 1 and 4 are supplementary

• The measure of angle 1 is 105 degrees

• The measure of angle 2 is 75 degrees

• The measure of angle 3 is 75 degrees

Tags

CCSS.8.G.A.5

How is vertex J mapped onto vertex P'?

• a translation left 3 units and up 4 units

• a translation left 4 units and up 3 units

• a translation right 3 units and down 4 units

• a translation right 4 units and down 3 units

Tags

CCSS.HSG.CO.A.2