<img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />
Dismiss
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.

5.2: Congruent Triangles

Difficulty Level: At Grade Created by: CK-12

This activity is intended to supplement Geometry, Chapter 4, Lesson 4.

In this activity, you will explore:

  • Conditions that create congruent triangles.

Use this document to record your answers.

Problem 1 – Three Corresponding Sides (SSS)

1. Based on your observations, are two triangles with three pairs of corresponding congruent sides (SSS) congruent?

2. Does this result change when a vertex of the triangle is dragged?

3. When the two compass circles are created, there are two points of intersection. Do you think it makes a difference which one you choose to be point F?

Problem 2 – Two Corresponding Sides and the Included Angle (SAS)

4. Based on your observations, are two triangles with two pairs of corresponding congruent sides and the included angle (SAS) congruent?

5. Do you think it matters whether the included angle ABC is acute, right, or obtuse?

Problem 3 – Two Corresponding Angles and the Included Side (ASA)

6. Based on your observations, are two triangles with two pairs of corresponding congruent angles and the included side (ASA) congruent?

7. Why do you think the selection order of the angle vertices matters?

Apply The Math

Name the congruence postulate (SSS, SAS, or ASA) that shows the triangles to be congruent.

Extension – Two Corresponding Sides and the NON-Included Angle

Use the file you saved as CongTri. Investigate the results if you copy two sides of a triangle and the NON-included angle. Will the triangles be congruent?

Image Attributions

Show Hide Details
Description
Subjects:
Grades:
Date Created:
Feb 23, 2012
Last Modified:
Nov 03, 2014
Files can only be attached to the latest version of section
Reviews
Help us create better content by rating and reviewing this modality.
Loading reviews...
Please wait...
Please wait...
Image Detail
Sizes: Medium | Original
 
TI.MAT.ENG.SE.1.Geometry.5.2