11/17: Translations and Reflections Practice

What is a reflection in geometry?

• A transformation that rotates a figure around a point.

• A transformation that flips a figure over a line, creating a mirror image.

• A transformation that enlarges a figure proportionally.

• A transformation that translates a figure to a different location.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

If trapezoid ABCD is translated 3 units to the right and 2 units down, what are the new coordinates of point A(1, 2)?

• (4, 0)

• (3, 1)

• (5, 2)

• (1, 4)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

How do you determine the direction of a translation?

• The direction is determined by the changes in the x and y coordinates: positive changes indicate right/up, and negative changes indicate left/down.

• The direction is determined by the angle of rotation applied to the object.

• The direction is determined by the color of the object being translated.

• The direction is determined by the size of the object being translated.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the relationship between the original figure and its image after a reflection?

• The original figure and its image are congruent and have the same size and shape.

• The original figure and its image are similar but not congruent.

• The original figure and its image are different in size but have the same shape.

• The original figure and its image are completely different in both size and shape.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the effect of a translation of (x, y) by (a, b)?

• The new coordinates will be (x + a, y + b).

• The new coordinates will be (x - a, y - b).

• The new coordinates will be (x * a, y * b).

• The new coordinates will be (x / a, y / b).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

If a triangle is reflected across the y-axis, what happens to the coordinates of its vertices?

• The x-coordinates of the vertices change sign, while the y-coordinates remain the same.

• The y-coordinates of the vertices change sign, while the x-coordinates remain the same.

• Both x and y coordinates of the vertices change sign.

• The coordinates of the vertices remain unchanged.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What coordinate is affected when translating a point left or right?

• The y-coordinate is affected when translating left or right.

• The z-coordinate is affected when translating left or right.

• The x-coordinate is affected when translating left or right.

• The w-coordinate is affected when translating left or right.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

How do you reflect a point (x, y) over the y-axis?

• The new point is (x, -y).

• The new point is (y, x).

• The new point is (-x, y).

• The new point is (x, y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What happens to the coordinates of a point when it is reflected over the x-axis?

• The x-coordinate changes sign, resulting in the new point being (-x, y).

• The y-coordinate changes sign, resulting in the new point being (x, -y).

• Both coordinates change sign, resulting in the new point being (-x, -y).

• The coordinates remain the same, resulting in the new point being (x, y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

How do you reflect the point (-2, 5) over the x-axis?

• (-2, -5)

• (2, 5)

• (-2, 5)

• (2, -5)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5