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Transcript
Geometry – Stevens - Chapter 4 Name _________________________ (Thank you Mrs. B for this cool form!) Objectives: 4.1.1 4.2.1 4.2.2 4.3.1 4.4.1 4.5.1 Classify triangles and use measures of triangles Identify congruent figures Proving angles of a triangle are congruent Proving triangles are congruent: SAS and SSS Proving triangles are congruent: ASA and AAS Use congruent triangles to plan and write proofs (CPCTC) 4.6.1 Use properties of isosceles, equilateral, and right triangles *Don’t forget to RETEST over OBJECTIVES < 75% before or after school. DO NOT WAIT!! It’s harder to retest the longer you are away from it!! Time Line (Tentative): Day One 4.1.1 Classify triangles and use measures of triangles 4.2.1 Identify congruent figures 4.2.2 Proving angles of a triangle are congruent Day Two Day Three 4.3.1 Proving triangles are congruent: SAS and SSS 4.4.1 Proving triangles are congruent: ASA and AAS 4.5.1 Use congruent triangles to plan and write proofs (CPCTC) Day Four 4.6.1 Use properties of isosceles, equilateral, and right triangles Day Five Chapter 4 Review Day Six Chapter 4 Test Assignment: HAND IN Chapter Test A Review Sheet Assignment: Assignment: 1) Vocab 4.5 pg. 232-235 4.6 pg. 239-242 2) Review Sheet (8-10) 14 15 22 (8-16) (17-25 23 (34-36) odd) 33 42 43 Assignment: 4.3 pg. 216-219 (6-21) 23 36 37 QUIZ 2 Assignment: 4.1 pg. 198-201 (9-27 multiples 4.4 pg. 223-224 of 3) (8-22) Use 2 (31-33) 49 50 column proofs 19-22 4.2 pg. 206-207 (12-30 multiples QUIZ1 of 3) Vocabulary Equilateral triangle Isosceles triangle Scalene triangle REMEMBER: All Vocab, All Homework, and All Other Assignments must be turned in the day you take the Chapter Test to be eligible for the Retest. Late assignments (other than makeup) are not accepted. Acute triangle Equiangular triangle Right triangle Obtuse triangle Vertex of a triangle Adjacent sides of a triangle Legs of a right triangle Hypotenuse Legs and Base of a isosceles triangle Interior angle Exterior angle REMEMBER: All Vocab, All Homework, and All Other Assignments must be turned in the day you take the Chapter Test to be eligible for the Retest. Late assignments (other than makeup) are not accepted. Corollary Congruent Corresponding angles of a triangle Corresponding sides of a triangle Base angles Vertex angle Theorem 4.1 - Triangle Sum Theorem The sum of the measures of the interior angles of a triangle is _____________________. Theorem 4.2 - Exterior Angle Theorem The measure of the _____________________ angle of a triangle is equal to the sum of the measures of the two nonadjacent ________________________ angles. Corollary to the Triangle Sum Theorem The acute angles of a right triangle are ______________________________. REMEMBER: All Vocab, All Homework, and All Other Assignments must be turned in the day you take the Chapter Test to be eligible for the Retest. Late assignments (other than makeup) are not accepted. Theorem 4.3 - Third Angles Theorem If two angles of one triangle are congruent to two angles of another triangle, then the third angles are also ____________________________. Theorem 4.4 - Properties of Congruent Triangles Reflexive Property of Congruent Triangles - Every triangle is ___________________ to itself. Symmetric Property of Congruent Triangles - Transitive Property of Congruent Triangles - Postulate 19 - Side-Side-Side (SSS) Congruence Postulate If three ____________ of one triangle are congruent to three ____________ of a second triangle, then the two triangles are _________________. Postulate 20 - Side-Angle-Side (SAS) Congruence Postulate If two ____________ and the included __________ of one triangle are congruent to two ____________ and the included ____________ of a second triangle, then the two triangles are _________________. REMEMBER: All Vocab, All Homework, and All Other Assignments must be turned in the day you take the Chapter Test to be eligible for the Retest. Late assignments (other than makeup) are not accepted. Postulate 21 - Angle-Side-Angle (ASA) Congruence Postulate If two ____________ and the included __________ of one triangle are congruent to two ____________ and the included ____________ of a second triangle, then the two triangles are _________________. Theorem 4.5 - Angle-Angle-Side (AAS) Congruence Theorem If two ____________ and the non included __________ of one triangle are congruent to two ____________ and the corresponding non included ____________ of a second triangle, then the two triangles are _________________. Theorem 4.6 - Base Angles Theorem If two _______________ of a triangle are congruent, then the _________________ opposite them are congruent. Theorem 4.7 - Converse of the Base Angles Theorem If two _______________ of a triangle are congruent, then the _________________ opposite them are congruent. Corollary to Theorem 4.6 If a triangle is equilateral, then it is _____________________. REMEMBER: All Vocab, All Homework, and All Other Assignments must be turned in the day you take the Chapter Test to be eligible for the Retest. Late assignments (other than makeup) are not accepted. Corollary to Theorem 4.7 If a triangle is equiangular, then it is _____________________. Theorem 4.6 - Hypotenuse-Leg (HL) Congruence Theorem If the ________________ and the _____________ of a right triangle are congruent to the _________________ and a ____________ of a second right triangle, then the two triangles are _________________. REMEMBER: All Vocab, All Homework, and All Other Assignments must be turned in the day you take the Chapter Test to be eligible for the Retest. Late assignments (other than makeup) are not accepted.