Question

answer attempt 1 out of 2
figure hijk is congruent to figure mnop because rigid motions can be used to map figure hijk onto figure mnop.
figure hijk similar to figure mnop because rigid motions and/or dilations be used to map figure hijk onto figure mnop.

Explanation:

Step1: Recall the definitions

Congruent figures have the same shape and size. Rigid motions (translations, rotations, reflections) preserve shape and size. Similar figures have the same shape but not necessarily the same size. Rigid motions and dilations (which change size while preserving shape) are used for similarity.

Step2: Analyze the statements

Since congruent figures require same - size preservation (only rigid motions), and similar figures allow for size - change (rigid motions + dilations).

Answer:

Figure \(HIJK\) is congruent to Figure \(MNOP\) because rigid motions can be used to map Figure \(HIJK\) onto Figure \(MNOP\). Figure \(HIJK\) is similar to Figure \(MNOP\) because rigid motions and/or dilations can be used to map Figure \(HIJK\) onto Figure \(MNOP\).