Questions: Find the scale factor of Figure A to Figure B.

Transcript text: Find the scale factor of Figure A to Figure B.

Solution

Solution Steps

Step 1: Identify corresponding sides

The side with length 36 in Figure A corresponds to the side with length 24 in Figure B. The side with length 25.2 in Figure A corresponds to the side with length 16.8 in Figure B.

Step 2: Calculate the scale factor

Scale factor = (Length of side in Figure B) / (Length of side in Figure A)

Using the first pair of corresponding sides: Scale factor = 24 / 36 = 2/3 = 0.666...

Using the second pair of corresponding sides: Scale factor = 16.8 / 25.2 = 2/3 = 0.666...

Step 3: Express the scale factor in simplest form

The scale factor is \( \frac{2}{3} \).

Final Answer:

The scale factor of Figure A to Figure B is \( \boxed{\frac{2}{3}} \).

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