Dilations ( assignment&quiz ) 100% and 70%

What is the scale factor for the dilation of triangle ABC to produce triangle A'B'C'? What is the scale factor for the dilation of triangle ABC to produce triangle A''B''C''?

1) 0.5 2) 2

A rectangular piece of fabric is transformed into a square by cutting the length to match the width. Which statement explains if a dilation was applied?

B?

Quadrilateral FGHI is dilated with respect to the origin by a scale factor of . What are the coordinates of G' ?

D

The unit circle has a radius of 1 unit and is centered at the origin. It is dilated so that it passes through the point (4, 0). What is the scale factor of dilation?

D

Explain the differences between an isometric transformation and a dilation.

Sample Response: An isometric transformation is a transformation in which the image is congruent to the pre-image. Both corresponding sides and corresponding angles are equal. A dilation is a transformation in which the corresponding angles of the image are congruent to the pre-image, but the corresponding sides are proportional. This ratio is determined by a scale factor. Dilations create similar images.

Rita drew the pre-image of circle K with a dashed line and its image after dilation with a solid line. Which shows the dilation of circle K with a scale factor of 2?

Last Diagram

Triangle ABC is dilated using the dilation rule D0.5(x, y) to form triangle A'B'C'. Point A is located at (10, 7.5), point B is located at (-5, 2), and point C is located at (0.5, -7). What are the coordinates of A'? What are the coordinates of B'? What are the coordinates of C'?

5, 3.75 -2.5,1 .25, -3.5

What is the length of CD? What is the length of C'D'? What is the measure of B? What is the measure of B'? What is the scale factor for the reduction of rectangle ABCD to produce rectangle A'B'C'D'?

6 units, 4 units, 90 degrees, 90 degrees, 2/3

The graph shows a dilation of trapezoid TRAP with respect to the origin. Which statements are true about the figures? Select three options.

A,B, and D

Which statements are true about the enlargement of triangle ABC to triangle A'B'C'? Check all that apply.

A,D,F

Which is the rule for the dilation of quadrilateral DEFG to quadrilateral D'E'F'G'?

A- D0.25(x, y)

A square with a side length of 8 units is reduced to a square with a side length of 4 units. What is the scale factor of the reduction?

B

All circles are similar figures. A single transformation is applied to the circle with center M to create another circle with center N. Which statement about the transformation is true?

B

Which statements about dilations are true? Check all that apply.

B,C,E

A dilation can be used to build a geometric pattern. The graph shows the first three terms of a pattern by applying the same dilation rule to the previous square, starting with the smallest square. What will be the coordinates of the upper-right vertex of the next largest (fourth) square in the pattern?

C

Triangle XYZ is reflected across the y-axis and then dilated. Which describes the dilation used to create triangle X'Y'Z?

C

Which real-world transformations can be represented by dilations? Select two options.

C and D

What are the coordinates for a dilated triangle, A'B'C', if the scale factor for the dilation is 0.75?

D- A'(-3.75, 0.75); B'(0, 1.5); C'(3, -1.5)

Triangle ABC is transformed to triangle A''B''C'' by first rotating triangle ABC 90°, and then performing a dilation. Which transformation was used?

D- D0.5(x, y)

Which diagrams shows a dilation?

Diagram 2