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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.