Exploring Transformation 1 in iMovie

The video tutorial covers transformations in algebra, focusing on translations and reflections. It explains how to plot points, write algebraic rules, and calculate lengths and perimeters using the Pythagorean theorem. The tutorial also discusses how to reflect shapes over the x-axis and determine the area of triangles.

What does the notation 'P'' signify in a transformation?

• None of the above

• Original point before transformation

• Translated point or image of P

• Second translation of point P

What remains unchanged in a translation?

• Position of the figure

• Shape and size of the figure

• Orientation of the figure

• All of the above

How many units are each vertex of the triangle translated to the left in the example?

• 5 units

• 10 units

• 7 units

• 12 units

How is the new position of a point determined in a translation?

• By scaling relative to a point

• By rotating around an axis

• By moving along a vector

• By reflecting across a line

What is the algebraic rule for the translation described?

• x + 7, y

• x - 7, y

• x, y - 7

• x, y + 7

What formula is used to calculate the length of side BC in the triangle?

• None of the above

• Pythagorean theorem

• Perimeter formula

• Area formula

What happens to the y-values when a figure is reflected over the x-axis?

• They are multiplied by -1

• They become zero

• They are unchanged

• They remain the same

Which transformation does not alter the size or shape of a figure?

• Scaling

• Reflection

• Shearing

• Rotation

What is the area of triangle QRS after reflection over the x-axis?

• 3 square units

• 9 square units

• 4.5 square units

• 6 square units

What is the length of side QR in the triangle after reflection?

• 6 units

• 5 units

• 4.5 units

• 3.6 units