Apply the vocabulary from this lesson to answer each question. Name the means and extremes in the proportion $\frac{1}{3}=\frac{2}{6}$.

Describe how the Moon was formed.

Give an example of similar figures in your classroom.

Find the length of the segment $\overline{D G}$

Match each term on the left with a definition on the right.

$$\begin{matrix} \text{side of a polygon} & \text{A. two nonadjacent angles formed by two intersecting lines}\\ \quad & \text{B. the top number of a fraction, which tells how many parts of a whole are being considered}\\ \quad & \text{C. a point that corresponds to one and only one number}\\ \quad & \text{D. the intersection of two sides of a polygon}\\ \quad & \text{E. one of the segments that form a polygon}\\ \quad & \text{F. the bottom number of a fraction, which tells how many equal parts are in the whole}\\ \end{matrix}$$

Use the diagonals to tell whether a parallelogram with the given vertices is a rectangle, rhombus, or square. Give all the names that apply. $D(-4,-3), H(5,6), L(8,3), P(-1,-6)$

Use the diagonals to tell whether a parallelogram with the given vertices is a rectangle, rhombus, or square. Give all the names that apply. $B(-3,0), F(-2,7), J(5,8), N(4,1)$

Give the best name for a quadrilateral whose vertices have the given coordinates. $(-4,5),(-1,8),(5,5),(-1,2)$

Use the diagonals to tell whether a parallelogram with the given vertices is a rectangle, rhombus, or square. Give all the names that apply. $Q(-8,-2), T(-6,8), W(4,6), Z(2,-4)$

Tell whether the polygon is regular or irregular. Then tell whether it is concave or convex.

Tell whether each statement is sometimes, always, or never true. A pair of consecutive angles in a kite are supplementary.

Tell whether each statement is sometimes, always, or never true. The opposite angles of a trapezold are supplementary.

Show that the diagonals of the square with the given vertices are congruent perpendicular bisectors of each other. $R(-5,0), S(-1,-2), T(-3,-6)$, and $U(-7,-4)$

Tell whether the polygon is regular or irregular. Then tell whether it is concave or convex.