5.1, 5.2 Constructing Circumcenter (Perpendicular Bisectors) Congruent Triangles 4.3
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1 Date Name of Lesson Classifying Triangles 4.1 Angles of Triangles 4.2 Inequalities in One Triangle 5.3 Constructing Incenter (Angle Bisectors) 5.1, 5.2 Constructing Circumcenter (Perpendicular Bisectors) Congruent Triangles 4.3 Quiz Proving Triangles Congruent SSS, SAS, ASA, AAS, HL 4.4, 4.5 Use to show why AAA doesn t work Use to show why ASS doesn t work Quiz Isosceles and Equilateral Triangles 4.6 Congruence Transformations 4.7 Practice Test Unit Test 1
2 4.1 Classifying Triangles Notes 1. Classify each triangle by their angles. 2. Classify each triangle by their sides Classify each triangle by their sides. 5. ABC 6. BDC 2
3 7. If point M is the midpoint of JL, classify JKM as equilateral, isosceles, or scalene. Explain your reasoning. 8. If Y is the midpoint of VX, and WY = 3.0 units, classify VWY as equilateral, isosceles, or scalene. Explain your reasoning. 9. Find the measures of the sides of isosceles triangle ABC. 10. Find the measures of the sides of the isosceles triangle KLM with base KL. 3
4 4.2 Angles of Triangles Notes Find the measure of the numbered angles
5 5. Find the measure of FLW. 6. Find the measures of the numbered angles. 7. Find the measure of the exterior angle shown. 8. Find the measures of the numbered angles. 5
6 Is it possible to form a triangle with the given side lengths? If not, explain why not cm, 7 cm, 10 cm 2. 3 in, 4 in, 8 in 3. 6 m, 14 m, 10 m 6
7 Compare the given measures. 7
8 5.3 Inequalities in One Triangle 1. Use the exterior angle theorem to name angles that have measures less than m Use the exterior angle theorem to name angles that have measures less than m Use the exterior angle theorem to name angles that have measures less than m Use the exterior angle theorem to name angles that have measures less than m 9. 8
9 List the angles and sides of each triangle in order from smallest to largest List the angles and sides of each triangle in order from smallest to largest
10 5.1, 5.2 Constructing Incenter (Angle Bisectors) 1. Construct the angle bisector of each angle to find the Incenter. (Draw circle inside with the center at the incenter.) 10
11 5.1, 5.2 Constructing Incenter (Angle Bisectors) 1. Construct the perpendicular bisector of each angle to find the Circumcenter. (Draw circle around the outside with the center at the circumcenter.) 11
12 4.3 Congruent Triangles Notes 1. Show that the polygons are congruent by identifying all the congruent corresponding parts. Then write a congruence statement
13 Corresponding Parts of Congruent Triangles are Congruent (CPCTC) 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. 5. In the diagram ITP NGO. Find the values of x and y. 13
14
15 4.4, 4.5 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 Determine which postulate can be used to prove that the triangles are congruent. If it is not possible to prove congruence, write not possible
16 Use the Distance Formula and SSS Congruence Postulate to show that ABC DEF
17 4.6 Isosceles and Equilateral Triangles Notes 1. Name two unmarked congruent angles. 2. Name two unmarked congruent segments. 3. Name two unmarked congruent angles. 4. Name two unmarked congruent segments. 17
18 5. Find each measure. m Y YZ 6. Find each measure. m M PN 7. Find the value of x. 8. Find the value of y. 9. Find the value of x. 10. Find the value of y. Find the value of each variable
19 4.7 Congruence transformations Use SSS to prove triangles congruent. Use SAS to prove triangles congruent. 19
20 5. 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 transformation and 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
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