Transformations and Properties of Shapes

This video tutorial covers various geometry concepts, focusing on transformations such as graphing, reflecting, rotating, and dilating shapes. It explains the four quadrants and how to determine point values. The tutorial also includes practical problems to apply these concepts, helping students understand how to manipulate shapes on a coordinate plane.

What is the y-coordinate of point A if it is located at (3, -4)?

• -3

• 3

• 4

• -4

If point B is at (5, -6), how many units do you move down to plot it?

• 4

• 6

• 3

• 5

What happens to a shape when it is reflected over the y-axis?

• It moves up

• It moves down

• It flips horizontally

• It flips vertically

After translating a point up 6 units and left 1 unit, what is the new position of point A'?

• (2, 2)

• (2, -4)

• (2, 2)

• (3, -4)

Which quadrant is located at the top right of the coordinate plane?

• Quadrant III

• Quadrant IV

• Quadrant II

• Quadrant I

If a shape in Quadrant I is rotated 90 degrees clockwise, which quadrant will it be in?

• Quadrant III

• Quadrant II

• Quadrant I

• Quadrant IV

What is the result of dilating a point (3, -4) by a scale factor of 0.5?

• (1.5, 2)

• (6, 8)

• (6, -8)

• (1.5, -2)

If two triangles are similar, what can be said about their angles?

• They are complementary

• They are different

• They are congruent

• They are the same

What is the new position of point M after rotating it 90 degrees counterclockwise?

• (-1, 3)

• (-1, -3)

• (1, 3)

• (1, -3)

What is the smallest angle of rotation that maps a figure onto itself?

• 45 degrees

• 180 degrees

• 90 degrees

• 120 degrees