Homework#8 Review Questions on L3.3-L3.4 Flashcard

Front

What is a translation in geometry?

Back

A translation is a type of transformation that moves every point of a figure the same distance in the same direction.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What happens to a point when it is rotated 180 degrees?

Back

When a point is rotated 180 degrees, it moves to the opposite side of the origin, effectively reversing its coordinates.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

How do you reflect a point over the line y=x?

Back

To reflect a point (x, y) over the line y=x, you swap the coordinates to get (y, x).

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What is the translation rule for moving a point (x, y) to (x+2, y-9)?

Back

The translation rule is to add 2 to the x-coordinate and subtract 9 from the y-coordinate.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What is a rigid motion in geometry?

Back

A rigid motion is a transformation that preserves the size and shape of a figure, meaning the figure remains congruent.

Tags

CCSS.HSG.CO.B.6

Front

If point A is (2, 7), what is A' after a 180-degree rotation followed by a reflection over the y-axis?

Back

A' is (2, -7).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of reflecting the point (2, -4) over the line y=x?

Back

The result is the point (-4, 2).

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

How do you determine the translation needed to move triangle A'B'C' to triangle ABC?

Back

You analyze the change in coordinates of corresponding points to find the translation vector.

Tags

CCSS.HSG.CO.A.2

Front

What does it mean for a transformation to preserve size and shape?

Back

It means that the figure does not change in dimensions or angles after the transformation.

Tags

CCSS.HSG.CO.A.2

Front

What is the effect of a translation on the coordinates of a point?

Back

A translation adds a constant value to the x and/or y coordinates of the point.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3