Geometry Unit 5 Note Sheets Date Name of Lesson Classifying Triangles Congruent...

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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

Transcript of Geometry Unit 5 Note Sheets Date Name of Lesson Classifying Triangles Congruent...

Geometry Unit 5 Note Sheets

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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

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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

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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 ̅̅ .

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Angles of Triangles Notes

Guided Practice

Find the measure of the numbered angles.

1. 2.

Your Turn

3. 4.

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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.

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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)

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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

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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.

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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.

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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

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Guided Practice

1. (Day 1)

Geometry Unit 5 Note Sheets

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Proofs Blocks Used to make Two-Column Proofs Notes (Day 2 and Day 3)

Guided Practice

2. (Day 2)

Guided Practice

3. (Day 3)

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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

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Your Turn

6. Find each measure.

𝑚∠𝑀

𝑃𝑁

Guided Practice

7. Find the value of x.

8. Find the value of y.

Your Turn

9. Find the value of x.

10. Find the value of y.

Guided Practice

Find the value of each variable.

11. 12.

Your Turn

13. 14.