Geometry Topic 3 Flashcard #1 Lesson 1-2

Front

What is reflection in geometry?

Back

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

Front

How do you reflect a point across the x-axis?

Back

To reflect a point (x, y) across the x-axis, the new point will be (x, -y).

Front

How do you reflect a point across the y-axis?

Back

To reflect a point (x, y) across the y-axis, the new point will be (-x, y).

Front

What is the component form of a vector?

Back

The component form of a vector is expressed as <x, y>, where x is the horizontal change and y is the vertical change.

Front

Reflect the point (-2, 6) over the y-axis. What is the new point?

Back

(2, 6)

Front

Reflect the point (6, -3) over the x-axis. What is the new point?

Back

(6, 3)

Front

What is the rule for reflecting a point across the x-axis?

Back

The rule is (x, y) → (x, -y).

Front

What is the rule for reflecting a point across the y-axis?

Back

The rule is (x, y) → (-x, y).

Front

What does it mean to map one shape onto another?

Back

Mapping one shape onto another means to transform the first shape so that it coincides with the second shape.

Front

What is a footprint in geometry?

Back

A footprint is a representation of a shape or figure, often used to analyze transformations.