Warm-up 12/3 = = or 2 2 = – 63 = 163 – 62 = 1

Agenda Chapter 1 Test Review Homework Review Concept Review Section 2-3 Deductive Reasoning Homework

Chapter 1 Test 1) Plot the following points: A (11, 14), B (-13, -7), C (-8, 11), D (8, -7) AB’s midpoint is (-1, 7/2) and its length is CD’s midpoint is (0, 2) and its length is AB’s slope is 7/8 and CD’s slope is -9/8. The two lines are not perpendicular.

Chapter 1 Test 2) 4x + 30 = 6x – 30 2x= 60 x = 30  m  RUS = 150,  m  RUT = 30 Linear Pairs  RUT &  RUS,  RUS &  SUV,  RUT &  TUV,  TUV &  SUV Vertical Angles  RUT &  SUV,  RUS &  TUV R S T VU 4x x - 30

Chapter 1 Test 3) 6 in 18 in 20 m 25 m A = 108 in 2 P = 48 in A = 300 m 2 P = 70 m 15 m

Chapter 1 Test 4) R-5 S-3 T U2 V4 RSTUV A.AB bisects RV – False, RT = 4, TV = 5 B.S is the midpoint of RT – True, RS = 2, ST = 2 C.RT  TV – False, RT = 4, TV = 5 D.The measures of RT + TV = 9, True, RT = 4, TV = 5, = 9 A B

Chapter 1 Test 5)A.Two planes never intersects at a point. B.Four points are sometimes coplaner. C.Obtuse angles are never less than ninety degrees in measure. 6)A.Collinear – two or more points on the same line B.Between – for line A-B-C, B is between A and C C.Linear Pair – two adjacent angles that in total equals 180 degrees

Chapter 1 Test 7) A B C D The Angle Addition Postulate states that you can add adjacent angles together to determine the measure of the larger angle created. m  ABC + m  CBD = m  ABD

Chapter 1 Test 8)

2-2 Enrichment

2-2 Study Guide

2-2 Practice

Book work … Page 766, Lessons 2-1 & 2-2

Lesson 2-1

Lesson 2-2

Mini-Quiz to follow

Mini-Quiz

2-2 Deductive Reasoning 1) If the measure of an angle is greater than 90, then it is obtuse. 2) The measure of T is greater than 90. 3) Therefore, T is obtuse

2-2 Deductive Reasoning 1) If Julie works after school, then she works in a department store. 2) Julie works after school. 3) Julie works in a department store.

2-2 Deductive Reasoning 1) If William is reading, he is reading a magazine. 2) If William is reading a magazine, he is reading a magazine about computers. 3) If William is reading, then he is reading a magazine about computers.

2-2 Deductive Reasoning 1) If Henry studies his Geometry, then he passes the test. 2) If Henry passes the test, then he will get a good grade. 3) If Henry studies his Geometry, then he will get a good grade.

Proofs Given: Prove: StatementsReasons 1) 1) Given QED

Properties of Equality (p. 93)

Geometric Version (p. 93)

Essentials to a good proof State the theorem to be proved List the given information If possible, draw a diagram State what is to be proven Develop a system of deductive reasoning

Homework 2-3 Study Guide and Practice 2-3 Enrichment

More Theorems Theorem 2 – 2 Supplement Theorem If two angles form a linear pair, then they are supplementary angles. Theorem 2 – 3 Congruence of angles is reflexive, symmetric, and transitive. Theorem 2 – 4 Angles supplementary to the same angle or to congruent angles are congruent.

and even more Theorems Theorem 2 – 5 Angles complementary to the same angle or to congruent angles are congruent. Theorem 2 – 6 All right angles are congruent. Theorem 2 – 7 Vertical angles are congruent. Theorem 2 – 8 Perpendicular lines intersect to form four right angles.