Congruency and similarity

Choose the correct scale factor:

• 2
• 3
• 1/3
• 1/2

Tags

CCSS.HSG.CO.A.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.

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2

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
  

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2

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

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2

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

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2

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.

(a)  

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2

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

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2

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.

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.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.

Tags

CCSS.8.EE.B.6

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

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2