Congruency and Similarity

Similar triangle means that they have the same shape but their sizes may vary.

• true

• false

An image created that is similar to the original figure is

• similar polygons

• similarity transformation

• scale factor

• extended ratio

Angle A corresponds to what angle?

• C

• R

• B

• P

Quad OBCD is similar to Quad OHTE because:

• Quad OBCD can be reflected over the x axis and then rotated 90 degrees

• Quad OBCD can be reflected over the x-axis and then dilated about point O by a scale factor of 2.

• Quad OBCD can be reflected over the y-axis and then dilated about point O by a scale factor of 2.

• Quad OBCD can be reflected over the y-axis and then dilated about point O by a scale factor of 1/2.

Choose the correct similarity transformation.

• Dilation using scale factor of 5/2 followed by a rotation 90 CCW

• Dilation with a scale factor of 5/2 followed by a y-axis reflection

• Dilation with scales factor of 5/2 followed by 90 CCW rotation and then a translation 3 units to the left and 3 units down

• 90 CCW rotation  followed by 5/2 dilation

Which transformation on ∆XYZ results in a triangle that is similar, but not congruent to ∆XYZ?

• a translation 3 units to the right

• a reflection across the line y=-2x+3

• a rotation 90 degrees around the origin

• a dilation centered at the origin with a scale factor to 2

Choose the correct scale factor:

• 2

• 3

• 1/3

• 1/2

ΔOBC is similar to ΔOGT because: (choose the best answer)

• ΔOBC can be dilated about point O by a scale factor of 1/2, and then rotated 90 degrees about point O.

• ΔOBC can be dilated about point G by a scale factor of 1/2, and then reflected over the x- axis

• They aren't similar

• They map to each other with similarity transformations.

Squares K and P are similar. Which series of transformations of square K show that K and P are similar?

• Rotation 90 degree, then dilation by a scale factor of 0.5.
  

• Rotation 45 degree, then dilation by a scale factor of 0.5.

• Reflection over a vertical axis, then dilation by a scale factor of 0.5.

• Reflection over a horizontal axis, then dilation by a scale factor of 0.5
  

One possible similarity transformation is to dilate the red figure with respect to the origin using a scale factor of ___ and then reflect the image in the __-axis.

• 1/2, x

• 1/2, y

• 2, x

• 2, y