Question

answer attempt 1 out of 2
figure vwxy is not ~ congruent to figure hijk because rigid motions cannot ~ be used to map figure vwxy onto figure hijk.
figure vwxy is ~ similar to figure hijk because rigid motions and/or dilations can ~ be used to map figure vwxy onto figure hijk.
the scale factor from figure vwxy to figure hijk is 3

Explanation:

Step1: Analyze Congruence

Congruent figures require rigid motions (translation, rotation, reflection) to map one onto the other. Since VWXY and HIJK differ in size (implied by scale factor), rigid motions alone can't map them, so they aren't congruent.

Step2: Analyze Similarity

Similar figures can be mapped using rigid motions and dilations (scaling). Since a scale factor exists (3), rigid motions + dilation can map VWXY to HIJK, so they are similar.

Step3: Determine Scale Factor

The scale factor from VWXY to HIJK is 3 (given or inferred from size difference).

Answer:

• Congruence: Figure VWXY is not congruent to Figure HIJK because rigid motions cannot be used to map Figure VWXY onto Figure HIJK.
• Similarity: Figure VWXY is similar to Figure HIJK because rigid motions and/or dilations can be used to map Figure VWXY onto Figure HIJK.
• Scale Factor: The scale factor from Figure VWXY to Figure HIJK is 3.