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Chapter 5 – Congruent Triangles

Chapter 5: Congruent Triangles

EQ: Do recall everything we have studied regarding triangles this chapter?

Assessment to test knowledge on terms for classifying triangles by sides and angles; congruent triangles from SAS, SSS, HL, ASA and AAS; Base Angle Theorem and CPCTC.

Prep work: None

Retake for Ch. 5 Test: Chpt 5 Review Version 2
Retake should be done by 1/17

Chapter 5: Congruent Triangles

EQ: Do recall everything we have studied regarding triangles this chapter?

Know terms for classifying triangles by sides and angles; congruent triangles from SAS, SSS, HL, ASA and AAS; Base Angle Theorem and CPCTC.

Prep work: Geo Ch 5 Review 2019
Geo Ch5 Review Solutions

Retake for Ch. 3 Test: Geo Ch3 Review for Retest
Retake should be done by 12/20.

Chapter 5: Congruent Triangles

EQ: Can you use congruent triangles to find the distance across a river?

Once triangles are shown to be congruent (by using 1 of the 5 triangles congruences (p273):  SAS, SSS, HL, ASA or AAS), then you can use CPCTC (Corresponding Parts of Congruent Triangles are Congruent) to find how wide the river is.

Prep work: p274(15-20, 24, 26) and p281(3-8, 15, 17)

Retake for Ch. 3 Test: Geo Ch3 Review for Retest
Retake should be done by 12/20.

Chapter 5: Congruent Triangles <= Click here for activity

EQ: What are there other shortcuts to showing triangles congruent?

Know all 5 triangles congruences (p273):  SAS (Side-Angle-Side), SSS (Side-Side-Side), HL (Hypotenuse-Leg), ASA (Angle-Side-Angle) and AAS (Angle-Angle-Side). Also know CPCTC (Corresponding Parts of Congruent Triangles are Congruent).

Prep work: Triangle Congruences and p274(15-20, 24, 26)

Retake for Ch. 3 Test: Geo Ch3 Review for Retest
Retake should be done by 12/13.

Chapter 5: Congruent Triangles <= Click here for activity

EQ: What type of triangles have base angles?  Are there other shortcuts to showing triangles congruent?

Know the Base Angles theorem for Isosceles triangles (p252).  SSS (Side-Side-Side) and HL (Hypotenuse Leg) theorem are introduced (p262-264).

Prep work: 5.4-5.5 BAT, SSS and HL

Retake for Ch. 3 Test: Geo Ch3 Review for Retest
Retake should be done by 12/13.

Chapter 5: Congruent Triangles

EQ: Do we really need to show that all three sides and angles are the same to prove triangles are congruent?

SAS (Side-Angle-Side) theorem is introduced (p246-247).  Know what an included angle is (the angle formed by sides).

Prep work: p249(5-18, 25, 26, 29)

Retake for Ch. 3 Test: Geo Ch3 Review for Retest
Retake should be done by 12/13.

Chapter 5: Congruent Triangles

EQ: What does a congruence statement tell you?

Know the Exterior Angle Theorem (p234) and 3rd Angle Theorem (p242).  Also know how to identify congruent parts of polygons from a congruence statement and be able to write one (see examples 1 & 2 starting on p.240).

Prep work: p236(15-18, 25-28, 49-52)  p243(3-10, 17, 18, 22-24)

Retake for Ch. 3 Test: Geo Ch3 Review for Retest