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Geometry Unit 4 Note SheetsDateName of LessonClassifying Triangles4.1Angles of Triangles4.2Inequalities in One Triangle5.3Constructing Incenter (Angle Bisectors)Constructing Circumcenter (Perpendicular Bisectors)Congruent Triangles5.1, 5.24.3QuizProving Triangles Congruent – SSS, SAS, ASA, AAS, HL 4.4, 4.5Use http://www.mathopenref.com/congruentaaa.html to show why AAA doesn’t workUse http://www.mathopenref.com/congruentssa.html to show why ASS doesn’t workQuizIsosceles and Equilateral Triangles4.6Congruence Transformations4.7Practice TestUnit Test1

Geometry Unit 4 Note Sheets4.1 Classifying Triangles NotesGuided Practice1. Classify each triangle by their angles.Your Turn2.Guided PracticeClassify each triangle by their sides.3.Your TurnClassify each triangle by their sides.4.5. 𝐴𝐵𝐶6. 𝐵𝐷𝐶2

Geometry Unit 4 Note SheetsGuided Practice̅ , classify 𝐽𝐾𝑀 as equilateral, isosceles, or scalene. Explain your reasoning.7. If point 𝑀 is the midpoint of 𝐽𝐿Your Turn̅̅̅̅, and 𝑊𝑌 3.0 𝑢𝑛𝑖𝑡𝑠, classify 𝑉𝑊𝑌 as equilateral, isosceles, or scalene.8. If 𝑌 is the midpoint of 𝑉𝑋Explain your reasoning.Guided Practice9. Find the measures of the sides of isosceles triangle 𝐴𝐵𝐶.Your Turn10. Find the measures of the sides of the isosceles triangle 𝐾𝐿𝑀 with base ̅̅̅̅𝐾𝐿.3

Geometry Unit 4 Note Sheets4.2 Angles of Triangles NotesGuided PracticeFind the measure of the numbered angles.1.2.Your Turn3.4.4

Geometry Unit 4 Note SheetsGuided Practice5. Find the measure of 𝐹𝐿𝑊.6. Find the measures of the numbered angles.Your Turn7. Find the measure of the exterior angle shown.8. Find the measures of the numbered angles.5

Geometry Unit 4 Note SheetsGuided PracticeIs it possible to form a triangle with the given side lengths? If not, explain why not.1. 5 cm, 7 cm, 10 cm2.3 in, 4 in, 8 inYour Turn3. 6 m, 14 m, 10 m6

Geometry Unit 4 Note SheetsGuided PracticeCompare the given measures.Your Turn7

Geometry Unit 4 Note Sheets5.3 Inequalities in One TriangleGuided Practice1. Use the exterior angle theorem to name angles that have measures less than 𝑚 4.2. Use the exterior angle theorem to name angles that have measures less than 𝑚 7.Your Turn3. Use the exterior angle theorem to name angles that have measures less than 𝑚 2.4. Use the exterior angle theorem to name angles that have measures less than 𝑚 9.8

Geometry Unit 4 Note SheetsGuided PracticeList the angles and sides of each triangle in order from smallest to largest.1.2.Your Turn3.4.Guided PracticeList the angles and sides of each triangle in order from smallest to largest.5.6.9

Geometry Unit 4 Note Sheets5.1, 5.2 Constructing Incenter (Angle Bisectors)Guided Practice1. Construct the angle bisector of each angle to find the Incenter. (Draw circle inside with the center at theincenter.)10

Geometry Unit 4 Note Sheets5.1, 5.2 Constructing Incenter (Angle Bisectors)Guided Practice1. Construct the perpendicular bisector of each angle to find the Circumcenter. (Draw circle around the outsidewith the center at the circumcenter.)11

Geometry Unit 4 Note Sheets4.3 Congruent Triangles NotesGuided Practice1. Show that the polygons are congruent by identifying all the congruent corresponding parts. Then write acongruence statement.2.12

Geometry Unit 4 Note SheetsCorresponding Parts of Congruent Triangles are Congruent (CPCTC)Guided Practice3. In the diagram 𝐴𝐵𝐶 𝐷𝐹𝐸.Find the values of 𝑥 and 𝑦.4. In the figure, 𝐿𝑀𝑁 𝑄𝑅𝑆.Find the values of 𝑥 and 𝑦.Your Turn5. In the diagram 𝐼𝑇𝑃 𝑁𝐺𝑂. Find the values of 𝑥 and 𝑦.13

Geometry Unit 4 Note SheetsGuided Practice6.Your Turn7.14

Geometry Unit 4 Note Sheets4.4, 4.5 Proving Triangles Congruent – SSS, SAS, ASA, AAS, HL NotesSide-Side-Side (SSS) CongruenceSide-Angle-Side (SAS) CongruenceAngle-Side-Angle (ASA) CongruenceAngle-Angle -Side (AAS) CongruenceHypotenuse-Leg (HL) CongruenceGuided PracticeDetermine which postulate can be used to prove that the triangles are congruent. If it is not possible to provecongruence, write not possible.1.2.3.15

Geometry Unit 4 Note SheetsYour Turn4.5.7.6.8.9.Guided PracticeUse the Distance Formula and SSS Congruence Postulate to show that 𝐴𝐵𝐶 𝐷𝐸𝐹.10.Your Turn11.16

Geometry Unit 4 Note Sheets4.6 Isosceles and Equilateral Triangles NotesGuided Practice1. Name two unmarked congruent angles.2. Name two unmarked congruent segments.Your Turn3. Name two unmarked congruent angles.4. Name two unmarked congruent segments.17

Geometry Unit 4 Note SheetsGuided Practice5. Find each measure.𝑚 𝑌𝑌𝑍Your Turn6. Find each measure.𝑚 𝑀𝑃𝑁Guided Practice7. Find the value of x.8. Find the value of y.Your Turn9. Find the value of x.10. Find the value of y.Guided PracticeFind the value of each variable.11.12.Your Turn13.14.18

Geometry Unit 4 Note Sheets4.7 Congruence transformationsUse SSS to prove trianglescongruent.Use SAS to prove trianglescongruent.19

Geometry Unit 4 Note Sheets5. Graph A(2,2), B(4, 7), C(6,2) and D(2,-2), F(4, -7), G(6, -2) on the same axis. Identify transformationand prove triangles are congruent.6. Determine whether 𝑻𝑱𝑫 𝑺𝑬𝑲 given T(-4, -2), J(0, 5), D(1, -1), S(-1, 3), E(3, 10),and K(4, 4). Explain and identify transformation. (Verify by using SSS,SAS,ASA, HL or AAS)20

Geometry Unit 4 Note Sheets 8 5.3 Inequalities in One Triangle Guided Practice 1. Use the exterior angle theorem to name angles that have measures less than 4. 2. Use the exterior angle theorem to name angles that have measures less than 7. Your Turn 3. Use the exterior angle t