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# 10.7: Study Guide

Difficulty Level: At Grade Created by: CK-12

Keywords: Define, write theorems, and/or draw a diagram for each word below.

1st\begin{align*}1^{st}\end{align*} Section: Triangles and Parallelograms

Perimeter

Area of a Rectangle: A=bh\begin{align*}A = bh\end{align*}

Perimeter of a Rectangle P=2b+2h\begin{align*}P = 2b + 2h\end{align*}

Perimeter of a Square: P=4s\begin{align*}P = 4s\end{align*}

Area of a Square: A=s2\begin{align*}A = s^2\end{align*}

Congruent Areas Postulate

Area of a Parallelogram: A=bh\begin{align*}A = bh\end{align*}

Area of a Triangle: A=12 bh\begin{align*}A = \frac{1}{2} \ bh\end{align*} or A=bh2\begin{align*}A = \frac{bh}{2}\end{align*}

Homework:

2nd\begin{align*}2^{nd}\end{align*} Section: Trapezoids, Rhombi, and Kites

Area of a Trapezoid: A=12h(b1+b2)\begin{align*}A = \frac{1}{2} h(b_1 + b_2)\end{align*}

Area of a Rhombus: A=12d1d2\begin{align*}A = \frac{1}{2} d_1 d_2\end{align*}

Area of a Kite: A=12d1d2\begin{align*}A = \frac{1}{2} d_1 d_2\end{align*}

Homework:

3rd\begin{align*}3^{rd}\end{align*} Section: Area of Similar Polygons

Area of Similar Polygons Theorem

Homework:

4th\begin{align*}4^{th}\end{align*} Section: Circumference and Arc Length

π\begin{align*}\pi\end{align*}

Circumference: C=πd\begin{align*}C = \pi d\end{align*} or C=2πr\begin{align*}C = 2 \pi r\end{align*}

Arc Length

Arc Length Formula: length of ABˆ=mABˆ360πd\begin{align*}\widehat{A B} = \frac{m \widehat{A B}}{360^\circ} \cdot \pi d\end{align*} or mABˆ3602πr\begin{align*}\frac{m \widehat{A B}}{360^\circ} \cdot 2 \pi r\end{align*}

Homework:

5th\begin{align*}5^{th}\end{align*} Section: Area of Circles and Sectors

Area of a Circle: A=πr2\begin{align*}A = \pi r^2\end{align*}

Sector

Area of a Sector: A=mABˆ360πr2\begin{align*}A = \frac{m \widehat{A B}}{360^\circ} \cdot \pi r^2\end{align*}

Segment of a Circle

Homework:

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