Classifying Quadrilaterals in Geometry
Explore the classification of quadrilaterals in geometry, including special quadrilaterals like rectangles, parallelograms, rhombuses, squares, trapezoids, kites, and isosceles trapezoids. Learn how to determine the most precise names for different quadrilaterals based on their vertices. Understand the slope and distance formulas to analyze the properties of quadrilaterals. Dive into examples illustrating the application of these concepts in geometry.
Download Presentation
Please find below an Image/Link to download the presentation.
The content on the website is provided AS IS for your information and personal use only. It may not be sold, licensed, or shared on other websites without obtaining consent from the author. If you encounter any issues during the download, it is possible that the publisher has removed the file from their server.
You are allowed to download the files provided on this website for personal or commercial use, subject to the condition that they are used lawfully. All files are the property of their respective owners.
The content on the website is provided AS IS for your information and personal use only. It may not be sold, licensed, or shared on other websites without obtaining consent from the author.
E N D
Presentation Transcript
6.1: CLASSIFYING 6.1: CLASSIFYING QUADRILATERALS QUADRILATERALS Geometry Geometry
Special Quadrilaterals Special Quadrilaterals Rectangle Rectangle: A parallelogram with four right angles. Parallelogram Parallelogram: A quadrilateral with both pairs of opposite sides parallel. Rhombus Rhombus: A parallelogram with four congruent sides. Square Square: A parallelogram with four right angles and four congruent sides.
Special Quadrilaterals Special Quadrilaterals Trapezoid Trapezoid: A quadrilateral with exactly one pair of parallel sides. Kite Kite: A quadrilateral with two pairs of adjacent sides congruent and no opposite sides congruent. The Isosceles Trapezoid Isosceles Trapezoid is a trapezoid whose nonparallel opposite sides are congruent.
Classifying Quadrilaterals https://encrypted-tbn2.gstatic.com/images?q=tbn:ANd9GcQdmb3bNB8s_omKC8pXjzbZQOR2YgkXqmFsauCTOgZee1Tf8TIT:dj1hlxw0wr920.cloudfront.net/userfiles/wyzfiles/50f05aca-3f63-4f4a-8a91-6c020fec6442.gif
Slope and Distance Slope and Distance Slope Formula: Slope Formula: Distance Formula: Distance Formula:
Step 1: Step 1: Find the slope of each side. Step 2: Step 2: Use the distance formula to see if any pairs of sides are congruent.
Example 3: Example 3: Determine the most precise name for quadrilateral ABCD with vertices A(-3,3), B(2,4), C(3,-1), and D(-2, -2).
Example 4: Example 4:
Example 5: Example 5: In parallelogram RSTU, ? ? = 2? 10 ??? ? ? = 3? + 50.???? ?.
