Name: ____________________________________________________________ Period:____________ Formal Geometry 2016-2017 [email protected] MrsRevillezaMath.weebly.com Chapter 5 Pages 322 - 385 Geometry – Glencoe McGraw-Hill (Red Textbook) 5.1: Bisectors of Triangles “I can identify and use perpendicular bisectors in triangles.” “I can identify and use angle bisectors in triangles.” New Vocabulary Perpendicular Bisector: Perpendicular Bisectors Theorems 5.1: Perpendicular Bisector Theorem 5.2 Converse of the Perpendicular Bisector Theorem
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Name: ____________________________________________________________ Period:____________
Formal Geometry 2016-2017 [email protected] MrsRevillezaMath.weebly.com
Chapter 5 Pages 322 - 385 Geometry – Glencoe McGraw-Hill (Red Textbook)
5.1: Bisectors of Triangles
“I can identify and use perpendicular bisectors in triangles.”
“I can identify and use angle bisectors in triangles.”
New Vocabulary
Perpendicular Bisector:
Perpendicular Bisectors Theorems
5.1: Perpendicular Bisector Theorem
5.2 Converse of the Perpendicular Bisector Theorem
2
New Vocabulary
Concurrent Lines: Point of Concurrency: Circumcenter:
Theorem 5.3: Circumcenter Theorem
Where a circumcenter can be located:
New Vocabulary
Incenter:
Theorem 5.6 Incenter Theorem
3
OLD Vocabulary
Angle Bisector
Angle Bisectors Theorems
5.4: Angle Bisector Theorem
5.2 Converse of the Angle Bisector Theorem
4
5.1: Bisectors of Triangles HOMEWORK
Page 327 – 328 # 10, 14, 22, 26, 28, 30 (Write the question & picture (if applicable) to each)
#10 #14
#22 #26
#28 #30
5
5.2: Medians and Altitudes of Triangles
“I can identify and use medians & altitudes in triangles.”
New Vocabulary
Median Centriod
Theorem 5.7: Centroid Theorem
6
New Vocabulary
Altitude:
Orthocenter:
7
5.2: Medians and Altitudes of Triangles HOMEWORK
Page 338 #6, 8, 10, #16-18 (Write the question & picture (if applicable) to each)
#6 #8
#10 #16
#17 #18
8
5.3: Inequalities in One Triangles
“I can recognize and apply properties of inequalities to the measures of the angles of a triangle”
“I can recognize and apply properties of inequalities to the relationships between the angles and
sides of a triangle”
Theorem 5.8: Exterior Angle Inequality
Angle-Side Relationships in Triangle Theorems
5.9
5.10
9
5.3: Inequalities in One Triangles HOMEWORK
Page 346 #8-18 even (Write the question & picture (if applicable) to each)
#8 #10
#12 #14
#16 #18 Expect a mid-chapter quiz next class!
10
5.4: Indirect Proof
“I can write indirect algebra proofs.”
“I can write indirect geometric proofs.”
New Vocabulary
Indirect Reasoning
Indirect Proof
Direct Proof V S Indirect Proof
11
5.4: Indirect Proof HOMEWORK
Page 355 #11-16 all (Write the question & picture (if applicable) to each)
#11 #12
#13 #14
#15 #16
12
5.5: The Triangle Inequality
“I can use the Triangle Inequality Theorem to identify possible triangles.”
“I can prove triangle relationships using the Triangle Inequality Theorem.”
Theorem 5.11: Triangle Inequality Theorem
13
5.5: The Triangle Inequality HOMEWORK
Page 363 #6, 8, 12, 14, 20, 28 (Write the question & picture (if applicable) to each)
#6 #8
#12 #14
#20 #28
14
5.6: Inequalities in Two Triangles
“I can apply the Hinge Theorem or its converse to make comparisons in two triangles.”
“I can prove triangle relationships using the Hinge Theorem or its converse.”
Inequalities in Two Triangles Theorems
5.13: Hinge Theorem
5.14: Converse of the Hinge Theorem
15
5.6: Inequalities in Two Triangles HOMEWORK
Page 372-373 #10, 12, 14, 18, 20 (Write the question & picture (if applicable) to each)
#10 #12
#14 #18
#20
Time to start Reviewing!
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