rectangle abcd was dilated to create rectangle abcd.
what is ab?
6 units
7.6 units
9.5 units
12 units

Question

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Geometric Similarity", "Geometric Dilation" ], "new_concepts": [], "current_concepts": [ "Geometric Similarity", "Geometric Dilation" ] } ## Set up the similarity ratio $$ \frac{AB}{A'B'} = \frac{BC}{B'C'} $$ ## Substitute the given values $$ \begin{aligned} A'B' &= 15 \ BC &= 3.8 \ B'C' &= 9.5 \ \frac{AB}{15} &= \frac{3.8}{9.5} \end{aligned} $$ ## Solve for AB $$ \begin{aligned} AB &= 15 \times \frac{3.8}{9.5} \ AB &= 15 \times 0.4 \ AB &= 6 \end{aligned} $$

6 units

7.6 units

9.5 units

12 units

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Geometric Similarity" ] }

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QUESTION IMAGE

Question

Explanation:

Set up the similarity ratio

Substitute the given values

Solve for AB

Answer: