Question

select the two figures that are similar to the 5 by 10 figure that is shown.

Explanation:

Step1: Find the ratio of the original figure

The original figure has dimensions \( 5 \) (height) by \( 10 \) (width). The ratio of height to width is \( \frac{5}{10}=\frac{1}{2} \).

Step2: Check each figure's ratio

• Red figure (2 by 4): Ratio is \( \frac{2}{4}=\frac{1}{2} \). This matches the original ratio.
• Pink figure (5 by 8): Ratio is \( \frac{5}{8}

eq\frac{1}{2} \). This does not match.

• Teal figure (3 by 9): Ratio is \( \frac{3}{9}=\frac{1}{3}

eq\frac{1}{2} \). This does not match.

• Blue figure (4 by 8): Ratio is \( \frac{4}{8}=\frac{1}{2} \). This matches the original ratio.

Answer:

The two figures similar to the 5 by 10 figure are the 2 by 4 (red) figure and the 4 by 8 (blue) figure.