Question

practice geometry exam - unit 8name:1. find the value of x for the similar polygons.2. determine if the figures are similar and the combination of transformations that occur.3. determine if the triangles are similar. explain your reasoning.4. find the measure of ed & write a similarity statement.5. determine if the triangles are similar. explain your reasoning.6. find the value of x and write a similarity statement.

Explanation:

Answer:

1. $x = 1$
2. Similar; reflection across the $x$-axis and a dilation by a scale factor of $\frac{1}{3}$ centered at the origin.
3. Not similar; the interior angles of the first triangle are $87^\circ, 41^\circ, 52^\circ$, and the second are $52^\circ, 41^\circ, 87^\circ$. (Wait, they are similar by AA). Yes, similar; both have angles $41^\circ, 52^\circ, 87^\circ$.
4. $ED = 25$; $\triangle ABC \sim \triangle ADE$
5. Not similar; the ratios of corresponding sides are not equal ($\frac{12}{9}

eq \frac{12}{6}
eq \frac{8}{9}$).

1. $x = 11.25$; $\triangle UVW \sim \triangle SRT$