Geometric Transformations and Reflections

The video tutorial covers algebraic representations of transformations, including translations, reflections, and rotations. Students are guided through vocabulary, rules, and practice exercises to understand how to manipulate points on a coordinate grid. The lesson includes independent practice and preparation for an upcoming district-level assessment.

What is the main focus of today's lesson?

• Learning about fractions

• Understanding geometric shapes

• Solving quadratic equations

• Algebraic representations of transformations

What does the term 'vertices' refer to in geometry?

• The perimeter of a shape

• The area of a shape

• The corners or intersections of a shape

• The sides of a shape

How do you algebraically represent a translation to the right?

• Add to the x-coordinate

• Add to the y-coordinate

• Subtract from the x-coordinate

• Subtract from the y-coordinate

If a point (3, -4) is translated 4 units right and 3 units up, what is the new point?

• (7, -1)

• (3, -1)

• (3, 3)

• (7, -4)

What happens to the x-values when reflecting across the y-axis?

• They are added to the y-values

• They are divided by 2

• They are multiplied by -1

• They remain the same

When reflecting a point across the y-axis, what happens to the y-coordinate?

• It is subtracted from the x-coordinate

• It is added to the x-coordinate

• It remains unchanged

• It is multiplied by -1

What is the rule for a 90-degree clockwise rotation?

• Switch x and y without any multiplication

• Multiply x by -1 and switch x and y

• Multiply y by -1 and switch x and y

• Multiply both x and y by -1

After a 90-degree clockwise rotation, what is the new position of point (2, 4)?

• (-4, 2)

• (-2, 4)

• (2, -4)

• (4, -2)