Mastery Check 1 (10-7-25)

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a shape a constant distance in a specified direction.

Front

What is the rule for translating a point (x, y) 4 units right and 9 units up?

Back

The rule is (x + 4, y + 9).

Front

What is the reflection rule across the x-axis?

Back

The reflection rule across the x-axis is (x, y) → (x, -y).

Front

What does the transformation (x, y) → (-x, y) represent?

Back

This transformation represents a reflection across the y-axis.

Front

How do you solve for x in the equation x + 2 = 8?

Back

Subtract 2 from both sides: x = 8 - 2, so x = 6.

Front

What is the result of reflecting a point (3, 4) across the x-axis?

Back

The result is (3, -4).

Front

What is the transformation rule for a 90° rotation clockwise about the origin?

Back

The rule is (x, y) → (y, -x).

Front

What is the effect of a translation of 6 units up on the point (2, 3)?

Back

The new point will be (2, 3 + 6) = (2, 9).

Front

What does the transformation (x, y) → (y, -x) do to a triangle?

Back

It rotates the triangle 90° clockwise about the origin.

Front

What is the definition of a reflection in geometry?

Back

A reflection is a transformation that flips a shape over a line, creating a mirror image.