Draw vector $\overrightarrow{P Q}$ in a coordinate plane. Write the component form of the vector and find its magnitude. Round decimals to the nearest tenth. $P(-2,0), Q(1,2)$

Sketch the figure that is described. Find the requested length. Round decimals to the nearest tenth. The diagonal of a square is 26 inches. Find the length of a side.

Draw vector $\overrightarrow{P Q}$ in a coordinate plane. Write the component form of the vector and find its magnitude. Round decimals to the nearest tenth. $P(-6,3), Q(6,-2)$

The variables r and s represent the lengths of the legs of a right triangle, and t represents the length of the hypotenuse. The values of r, s, and t form a Pythagorean triple. Find the unknown value. $r=35, t=37$

Solve the right triangle. Round decimals to the nearest tenth. Triangle EFD , EF = 7,FD= 7, $\angle F$= 90 $^{\circ}$

A segment has endpoints at A(6,-4) and B(12,9). Find the images of the segment under two dilations, one with scale factor $\frac{1}{3}$ and center $(0,0)$, and the other with scale factor $\frac{1}{2}$ and center $(0,0)$. Then tell whether the two image segments are parallel.

Use a calculator to approximate the given value to four decimal places. $\sin 78^{\circ}$

The variables r and s represent the lengths of the legs of a right triangle, and t represents the length of the hypotenuse. The values of r, s, and t form a Pythagorean triple. Find the unknown value. $s=20, t=101$

Draw vector $\overrightarrow{P Q}$ in a coordinate plane. Write the component form of the vector and find its magnitude. Round decimals to the nearest tenth. $P(2,3), Q(1,-1)$

Decide whether the numbers can represent the side lengths of a triangle. If they can, classify the triangle as right, acute, or obtuse. $4,5,5$

Sketch the figure that is described. Find the requested length. Round decimals to the nearest tenth. The perimeter of a square is 36 inches. Find the length of a diagonal.

Solve the right triangle. Round decimals to the nearest tenth. Triangle EFD , EF = 20,FD= 21, $\angle F$= 90 $^{\circ}$

The side lengths of a triangle are 7 centimeters, 8 centimeters, and 9 centimeters. A ray bisects the largest angle, dividing the side opposite the angle into two segments. Find the lengths of these segments.

Is a triangle with sides of lengths 6,8 , and 12 similar to a triangle with sides of lengths 9,12 , and 18 ? Explain your answer.