<img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />
Skip Navigation
Our Terms of Use (click here to view) and Privacy Policy (click here to view) have changed. By continuing to use this site, you are agreeing to our new Terms of Use and Privacy Policy.

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.

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


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

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

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

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

Congruent Areas Postulate

Area Addition Postulate

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

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


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

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

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

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


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

Area of Similar Polygons Theorem


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


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

Arc Length

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


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

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


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

Segment of a Circle


Image Attributions

Show Hide Details
Files can only be attached to the latest version of section
Help us create better content by rating and reviewing this modality.
Loading reviews...
Please wait...
Please wait...
Image Detail
Sizes: Medium | Original