2024 dilations reflections and similar figures

The image provided shows several dilations. The angle measures of each dilation ​ (a)   while the side lengths of each dilations ​ (b)   .

• are always congruent
• become larger or smaller

A polygon will be dilated on a coordinate grid to create a smaller polygon. The polygon is dilated using the origin as the center of dilation. Which rule could represent this dilation?

​ (a)  

A polygon will be dilated on a coordinate grid to create a larger polygon. The polygon is dilated using the origin as the center of dilation. Which rule could represent this dilation?

​ ​ ​ (a)  

• Reflection across the y axis
• Reflection across the x axis
• Rotation 90 degrees clockwise
• Rotation 90 degrees counter clockwise
• Rotation 180 degrees

• Reflection across the y axis
• Reflection across the x axis
• Rotation 90 degrees clockwise
• Rotation 90 degrees counter clockwise
• Rotation 180 degrees

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Quadrilateral PQRS was dilated using the origin as the center of dilation to create quadrilateral P'Q'R'S'. Which rule best represents the dilation that was applied to quadrilateral PQRS to create quadrilateral P'Q'R'S'?

​ (a)   ​

Triangle ABC is reflected across the x axis to create triangle A'B'C'. Which statements are true?

• False

• The sum of the angle measures of triangle ABC will be twice the sum of triangle A'B'C'

• A relection across the x axis has the rule:

• True

• The side lengths of triangle ABC and A'B'C' will be congruent.

• Enlarge 2 times the size

• The rule 2x,2y will cause the image to:

• False

• The side lengths of triangle A'B'C' will be twice the size of the side lengths of triangle ABC.

• True

• The sum of the angle measures of triangle ABC will be twice the sum of triangle A'B'C'