Honors Geometric Transformations Test 2024

Front

What is a reflection in geometry?

Back

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

Front

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

Back

The reflected point is (x, -y).

Front

What is a translation in geometry?

Back

A translation is a transformation that slides a figure from one position to another without changing its shape or orientation.

Front

How do you translate a point (x, y) 3 units to the left and 9 units down?

Back

The new point is (x - 3, y - 9).

Front

What is the algebraic notation for a translation of (x, y) by (a, b)?

Back

(x, y) goes to (x + a, y + b).

Front

What is a scale factor in dilation?

Back

A scale factor is a number that scales, or multiplies, the dimensions of a figure during a dilation.

Front

How do you write the algebraic notation for a dilation with a scale factor of 3?

Back

(x, y) goes to (3x, 3y).

Front

What is the effect of reflecting a point across the line y = -x?

Back

The reflected point (x, y) becomes (-y, -x).

Front

What is the difference between a translation and a reflection?

Back

A translation slides a figure without changing its orientation, while a reflection flips it over a line.

Front

How do you reflect a point (x, y) across the line y = k?

Back

The reflected point is (x, 2k - y).