Question

which answers map a scale factor from figure a to figure b of 1:1.5? select two that apply. figure a: 1.6 cm, 4.5 cm; figure b: 3.1 cm, 6.0 cm. figure a: 0.4 cm, 2.8 cm; figure b: 0.6 cm, 4.2 cm

Explanation:

Step1: Calculate scale factor for first pair

For the first pair of rectangles (Figure A: \(1.6\) cm and \(4.5\) cm; Figure B: \(3.1\) cm and \(6.0\) cm).
For the first side: \(\frac{3.1}{1.6}=\frac{31}{16}=1.9375\).
For the second side: \(\frac{6.0}{4.5}=\frac{60}{45}=\frac{4}{3}\approx1.33\). Since the scale factors for the two sides are not equal, this pair is not valid.

Step2: Calculate scale factor for second pair

For the second pair of rectangles (Figure A: \(0.4\) cm and \(2.8\) cm; Figure B: \(0.6\) cm and \(4.2\) cm).
For the first side: \(\frac{0.6}{0.4}=\frac{6}{4}=1.5\).
For the second side: \(\frac{4.2}{2.8}=\frac{42}{28}=\frac{3}{2}=1.5\).

Answer:

The second pair (Figure A with sides \(0.4\) cm and \(2.8\) cm, Figure B with sides \(0.6\) cm and \(4.2\) cm) is the correct one.