Exploring Algebra Translations and Reflections

What is a translation in geometric terms?

• Moving a figure without turning it

• Rotating a figure around a point

• Reflecting a figure across a line

• Changing the size of a figure

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.B.6

After translating triangle JKL two units right and five units down, what are the coordinates of J'?

• (1, -3)

• (-3, 4)

• (0, 0)

• (-1, -1)

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

How do you calculate the new coordinates after a translation?

• Divide the original coordinates by the translation values

• Add the translation values to the original coordinates

• Multiply the original coordinates by the translation values

• Subtract the translation values from the original coordinates

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

What happens to the y-coordinate when a figure is reflected over the x-axis?

• It is unchanged

• It is multiplied by -1

• It remains the same

• It becomes zero

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

After reflecting triangle PQR over the x-axis, what is the new coordinate of P'?

• (-3, 4)

• (3, -4)

• (3, 4)

• (-3, -4)

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

When reflecting a figure over the y-axis, what happens to the x-coordinates?

• They are subtracted by 1

• They are multiplied by -1

• They remain unchanged

• They are divided by -1

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.B.6

What are the coordinates of A' after reflecting quadrilateral ABCD over the y-axis?

• (2, 3)

• (0, -3)

• (4, 1)

• (-4, 1)

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

CCSS.HSG.GPE.B.4

What is the result of reflecting a point over the line y = x?

• The x and y coordinates are switched

• The x and y coordinates are added by 1

• The x and y coordinates are multiplied by -1

• The x and y coordinates are unchanged

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

What are the new coordinates of a point (2, 5) after reflecting over the line y = -x?

• (5, 2)

• (2, 5)

• (-5, -2)

• (-2, -5)

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

How do you determine the new coordinates when reflecting over the line y = -x?

• Multiply the coordinates by -1 without switching

• Switch the coordinates and change their signs

• Switch the coordinates without changing their signs

• Keep the coordinates the same but change their signs

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4