3.A: Properties of Quadrilaterals
- Page ID
- 31448
\( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \) \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)\(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\) \(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\)\(\newcommand{\AA}{\unicode[.8,0]{x212B}}\)
Overview
The purpose of this lesson is to identify key quadrilaterals and properties about their angles and sides.
This lesson will address the following CCRS Standard(s) for Geometry:
- 7.G.6: Solve real-world and mathematical problems involving area, volume and surface area of two- and three- dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms
Directions
- Take notes while watching videos below
- Go to http://wamap.org and log into our course to complete assignment 3.A with 80% or better.
Do
Complete assignment 3.A with 80% or better at http://wamap.org
Summary
In this lesson we have learned:
- The angles of a quadrilateral (four sides) add to 360o
- Kites have two pairs of congruent sides that are consecutive
- Parallelograms are quadrilaterals with opposite sides parallel
- Opposite angles are congruent
- Consecutive angles are supplementary
- Rectangles are parallelograms with congruent (right) angles
- Rhombi are parallelograms with congruent sides
- Squares are parallelograms with congruent (right) angles and sides
- Trapezoids only have one set of parallel sides