Question

answer choices: see all 6 choices drag the answer choices to the correct category over here! a dilation with scale factor greater than 1 creates an enlargement a dilation with a scale factor of 1 produces a congruent image a dilation preserves angle measures in a polygon a dilation always makes a figure larger a dilation changes the orientation of a figure

Explanation:

Step1: Recall dilation properties

Dilation is a transformation. If scale factor \(k>1\), it's enlargement. If \(k = 1\), image is congruent. Dilation preserves angle measures.

Step2: Analyze each statement

• For "A dilation with scale factor greater than 1 creates an enlargement": By definition of dilation, if \(k>1\), \( (x,y)\to(kx,ky)\) and figure is enlarged.
• For "A dilation with a scale factor of 1 produces a congruent image": When \(k = 1\), \( (x,y)\to(x,y)\), so image is congruent to pre - image.
• For "A dilation preserves angle measures in a polygon": Dilation is a similarity transformation, and similarity transformations preserve angle measures.
• For "A dilation always makes a figure larger": If \(0
• For "A dilation changes the orientation of a figure": Dilation does not change orientation. So this is misleading.

Answer:

Always True:

• A. dilation with scale factor greater than 1 creates an enlargement
• A dilation with a scale factor of 1 produces a congruent image
• A dilation preserves angle measures in a polygon

Misleading:

• A dilation always makes a figure larger
• A dilation changes the orientation of a figure