Unit 5 Exam

Front

Write a rule for the translation of a point in the coordinate plane.

Back

A translation rule describes how to move a point (x, y) to a new position (x + a, y + b), where 'a' is the horizontal shift and 'b' is the vertical shift.

Front

What is the result of reflecting a point (x, y) over the y-axis?

Back

The result is (-x, y).

Front

If point M (-3, 5) is translated using the rule (x, y) --> (x - 1, y), what are the new coordinates?

Back

M' = (-4, 5).

Front

What is the mirror line for a reflection across the line y = x?

Back

The mirror line is y = x.

Front

What is the image of point S (2, -5) after a rotation of 90° clockwise about the origin?

Back

S' = (-5, -2).

Front

Define translation in geometry.

Back

Translation is a geometric transformation that moves every point of a figure or a space by the same distance in a given direction.

Front

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

Back

The y-coordinate changes sign: (x, y) becomes (x, -y).

Front

How do you perform a 90° counterclockwise rotation of a point (x, y) about the origin?

Back

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

Front

What is the effect of a translation rule (x + a, y + b) on a point?

Back

It shifts the point 'a' units horizontally and 'b' units vertically.

Front

What are the coordinates of the image of point (4, 3) after reflecting over the line y = -x?

Back

The coordinates will be (-3, -4).