geometry unit 5 note sheets date name of lesson classifying triangles congruent...
TRANSCRIPT
Geometry Unit 5 Note Sheets
1
Date Name of Lesson
Classifying Triangles
Angles of Triangles
Congruent Triangles
Quiz
Proving Triangles Congruent – SSS, SAS, ASA, AAS, HL
Use http://www.mathopenref.com/congruentaaa.html to show why AAA doesn’t work
Use http://www.mathopenref.com/congruentssa.html to show why ASS doesn’t work
Proofs Blocks Used to make Two-Column Proofs
Quiz
Isosceles and Equilateral Triangles
Review Worksheet
Practice Test
Unit Test
Geometry Unit 5 Note Sheets
2
Classifying Triangles Notes
Guided Practice
1. Classify each triangle by their angles.
Your Turn
2.
Guided Practice
Classify each triangle by their sides.
3. 4.
Your Turn
Classify each triangle by their sides.
5. ∆𝐴𝐵𝐶
6. ∆𝐵𝐷𝐶
7. ∆𝐵𝐷𝐴
Geometry Unit 5 Note Sheets
3
Guided Practice
8. If point 𝑀 is the midpoint of 𝐽�̅�, classify ∆𝐽𝐾𝑀 as equilateral, isosceles, or scalene. Explain your reasoning.
Your Turn
9. If 𝑌 is the midpoint of 𝑉𝑋̅̅ ̅̅ , and 𝑊𝑌 = 3.0 𝑢𝑛𝑖𝑡𝑠, classify ∆𝑉𝑊𝑌 as equilateral, isosceles, or scalene.
Explain your reasoning.
Guided Practice
10. Find the measures of the sides of isosceles triangle 𝐴𝐵𝐶.
Your Turn
11. Find the measures of the sides of the isosceles triangle 𝐾𝐿𝑀 with base 𝐾𝐿̅̅ ̅̅ .
Geometry Unit 5 Note Sheets
4
Angles of Triangles Notes
Guided Practice
Find the measure of the numbered angles.
1. 2.
Your Turn
3. 4.
Geometry Unit 5 Note Sheets
5
Guided Practice
5. Find the measure of ∠𝐹𝐿𝑊. 6. Find the measures of the numbered angles.
Your Turn
7. Find the measure of the exterior angle shown. 8. Find the measures of the numbered angles.
Geometry Unit 5 Note Sheets
6
Congruent Triangles Notes
Guided Practice
1. Show that the polygons are congruent by identifying all the congruent corresponding parts. Then write a
congruence statement.
Your Turn
2.
Corresponding Parts of Congruent Triangles are Congruent (CPCTC)
Geometry Unit 5 Note Sheets
7
Guided Practice
3. In the diagram ∆𝐴𝐵𝐶 ≅ ∆𝐷𝐹𝐸. 4. In the figure, ∆𝐿𝑀𝑁 ≅ ∆𝑄𝑅𝑆.
Find the values of 𝑥 and 𝑦. Find the values of 𝑥 and 𝑦.
Your Turn
5. In the diagram ∆𝐼𝑇𝑃 ≅ ∆𝑁𝐺𝑂. Find the values of 𝑥 and 𝑦.
Guided Practice Your Turn
6. 7.
Geometry Unit 5 Note Sheets
8
Proving Triangles Congruent – SSS, SAS, ASA, AAS, HL Notes
Side-Side-Side (SSS) Congruence
Side-Angle-Side (SAS) Congruence
Angle-Side-Angle (ASA) Congruence
Angle-Angle -Side (AAS) Congruence
Hypotenuse-Leg (HL) Congruence
Guided Practice
Determine which postulate can be used to prove that the triangles are congruent. If it is not possible to prove
congruence, write not possible.
1. 2. 3.
Geometry Unit 5 Note Sheets
9
Your Turn
4. 5. 6.
7. 8. 9.
Guided Practice
Use the Distance Formula and SSS Congruence Postulate to show that ∆𝐴𝐵𝐶 ≅ ∆𝐷𝐸𝐹.
10.
Your Turn
11.
Geometry Unit 5 Note Sheets
10
Proofs Blocks Used to make Two-Column Proofs Notes
Instructions for using Proof Blocks
Using information provided
Given From Photo
Triangle Congruence
Definitions, Properties, and Theorems to use to get to Triangle Congruence
Geometry Unit 5 Note Sheets
12
Proofs Blocks Used to make Two-Column Proofs Notes (Day 2 and Day 3)
Guided Practice
2. (Day 2)
Guided Practice
3. (Day 3)
Geometry Unit 5 Note Sheets
13
Isosceles and Equilateral Triangles Notes
Guided Practice
1. Name two unmarked congruent angles.
2. Name two unmarked congruent segments.
Your Turn
3. Name two unmarked congruent angles.
4. Name two unmarked congruent segments.
Guided Practice
5. Find each measure.
𝑚∠𝑌
𝑌𝑍