Congruency and similarity

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

If figure G is rotated 90^o CCW and dilated by a sale factor of .5, it is SIMILAR OR CONGRUENT to figure G''?

• Congruent

• Similar

If A'B'=20 and AB=100 then what is the scale factor to map ABC onto A'B'C'?

Answer either as a fraction in reduced form or as an integer.

Select the transformations that will create an image that is similar to the preimage.

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.

Which of the following is true about the triangles shown on the graph?

• The slope of the smaller triangle is smaller than the slope of the larger triangle.

• The slope of the larger triangle is larger than the slope of the smaller triangle.

• The triangles are congruent. Congruent: same size, same shape.

• The slopes of the two triangles are the same.

Circle M is dilated by a scale factor of 3/2 and then translated along the vector <-1,3> to form circle M'. Which of the following is true?

• Circle M and circle M' are similar.

• Circle M and circle M' are congruent.

• Circle M and circle M' are concurrent.

• None of the above