Geometry Transformations Review Insights

The video tutorial covers various geometric transformations including translation, reflection, rotation, and dilation. It explains how to use coordinate and vector notation to perform these transformations and how to identify lines of symmetry. The tutorial also discusses scale factors, reductions, and enlargements, providing examples and calculations to illustrate these concepts. Students are guided through graphing exercises to apply transformations and understand the effects on shapes.

What is the image of point P (11, -4) after a translation of (-17, 2)?

• (-6, -2)

• (6, 2)

• (-6, 2)

• (6, -2)

If triangle FGH is transformed using the vector (-3, -2), what are the new coordinates of F' if F is originally at (2, 5)?

• (1, 7)

• (-1, 7)

• (1, 3)

• (-1, 3)

How many lines of symmetry does a shape have if it can be folded along four different lines and map one side onto the other?

• 2

• 1

• 4

• 3

What is the scale factor if the original coordinate W (2, 6) is transformed to W' (1, 3)?

• 1/2

• 2

• 1/3

• 3

If a shape is enlarged by a scale factor of 2/3, what is the new coordinate of point M (-1, 2)?

• (-3/2, 3/2)

• (-2/3, 4/3)

• (-2/3, 3/2)

• (-3/2, 4/3)

What is the new location of point P (2, 3) after a translation of (3, -2)?

• (1, 5)

• (1, 1)

• (5, 5)

• (5, 1)

If triangle RST is reflected over the y-axis, what will be the new coordinates of R' if R is originally at (-4, 1)?

• (-4, 1)

• (4, -1)

• (-4, -1)

• (4, 1)

What is the new coordinate of point A (2, 3) after a 90° counterclockwise rotation?

• (-3, 2)

• (-2, -3)

• (3, -2)

• (2, -3)

If a shape is reflected across the x-axis, what happens to the y-coordinates of its points?

• They remain the same

• They change sign

• They double

• They halve

What is the new coordinate of point C (4, 1) after a 270° counterclockwise rotation?

• (4, -1)

• (-4, 1)

• (1, -4)

• (-1, 4)