Reflections The Mathematical Flip

This video tutorial explores the concept of reflections in geometry, focusing on how figures are reflected over the x and y-axis on a coordinate plane. It explains the properties of reflections, including congruence, and provides real-world examples such as reflections in water and mirrors. The tutorial includes exercises to identify reflections and practice reflecting figures on the coordinate plane, emphasizing the importance of maintaining congruence.

What is a reflection in the context of geometric transformations?

• A change in size

• A slide along a plane

• A flip over a line of symmetry

• A rotation around a point

Which of the following is true about reflections?

• They change the size of the figure

• They are not considered transformations

• They result in a congruent image

• They alter the shape of the figure

In the real world, what is an example of a reflection?

• A leaf falling from a tree

• A mountain's image in a lake

• A car moving on a road

• A shadow on the ground

What is the line of reflection in the example of a cat in front of a mirror?

• The floor

• The wall

• The mirror

• The ceiling

How can you determine if a blue figure is a reflection of a green figure?

• By comparing their perimeters

• By measuring their area

• By ensuring they are congruent and aligned over a line of reflection

• By checking if they are the same color

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

• The y-coordinate changes sign

• Neither coordinate changes

• The x-coordinate changes sign

• Both coordinates change sign

When reflecting a figure over the x-axis, which coordinate remains unchanged?

• Neither coordinate

• Both coordinates

• The y-coordinate

• The x-coordinate

What is the result of reflecting a point with coordinates (3, 4) over the y-axis?

• (-3, -4)

• (3, 4)

• (3, -4)

• (-3, 4)

When reflecting over the y-axis, which coordinate changes sign?

• The x-coordinate

• Neither coordinate

• The y-coordinate

• Both coordinates

What remains unchanged when a figure is reflected over the y-axis?

• The x-coordinate

• The y-coordinate

• Both coordinates

• The shape of the figure