Math 2 - HW Check 9.1 Reflections

What is a reflection?

• When you turn an object around a point.

• When you slide an object form one place to another.

• When you flip or mirror an object across a line.

• When you resize an object.

Answer explanation

A reflection is when you flip or mirror an object across a line.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Flipping a figures is a (a)  

• Rotation

• Reflection

• Dilation

• Translation

Answer explanation

Flipping a figure is a reflection. Reflection involves flipping a figure over a line of symmetry.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is this transformation?(x, y) ----> (-x, y) (a)  

• Reflect over the x axis

• Reflect over the y-axis

• Reflect over the line y=x

• slide left 1

Answer explanation

This transformation reflects the point (x, y) over the y-axis, resulting in the point (-x, y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is this transformation?(x, y) ----> (x, -y) (a)  

• Reflect over the x axis

• Reflect over the y-axis

• Reflect over the line y=x

• slide left 1

Answer explanation

This transformation reflects the points over the x-axis, changing the sign of the y-coordinate. Therefore, the correct choice is 'Reflect over the x axis'.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is this transformation?(x, y) ----> (y, x) (a)  

• Reflect over the x axis

• Reflect over the y-axis

• Reflect over the line y=x

• slide left 1

Answer explanation

This transformation reflects the points (x, y) over the line y=x, interchanging their x and y coordinates.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is this transformation?(x, y) ----> (-y, -x) (a)  

• Reflect over the x axis

• Reflect over the y-axis

• Reflect over the line y=x

• Reflect over the line y=-x

Answer explanation

This transformation reflects the point (x, y) over the line y=-x. It swaps the x and y coordinates, resulting in the point (-y, -x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Match the following

• Reflection over the x-axis.

• 
• translation

• 
• Reflection over the y-axis

• 

Tags

CCSS.HSG.CO.A.2

B(-2, -4)
Reflect over the line y = x

• (2, -4)

• (-4, 2)

• (-4, -2)

• (4, 2)

Answer explanation

The correct answer is (-4, -2) because reflecting the point (-2, -4) over the line y = x results in (-4, -2).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

∆QRS contains the points: Q(4, 2) R(5, 1) S(3,7). If the triangle is reflected across the y-axis, what will S' be?

• S'(3, 7)

• S'(-3, 7)

• S'(-3, -7)

• S'(3, 7)

Answer explanation

When a point is reflected across the y-axis, its x-coordinate changes sign. Therefore, S(3, 7) becomes S'(-3, 7). This is the correct choice.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

∆QRS contains the points: Q(4, 2) R(5, 1) S(3,7). If the triangle is reflected across the x-axis, what will Q' be?

• Q'(-4, 2)

• Q'(4, -2)

• Q'(2, 4)

• Q'(-4, -2)

Answer explanation

When a point is reflected across the x-axis, the y-coordinate changes sign. Therefore, Q' will have the same x-coordinate as Q (4) and a y-coordinate with the opposite sign (-2). Thus, Q'(4, -2) is the correct choice.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5