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Geometry

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

Chapter 3: Parallel and Perpendicular Lines

EQ: Can you remember all we’ve covered in this chapter?

Prep work: p236(3-6, 11-14, 19-24, 29-36, 43-44)
Look at examples starting on page 232.  This is just review of middle school topics on classifying triangles by their sides (scalene, isosceles or equilateral) and angles (acute, right, obtuse or equiangular) .  These problems also use the fact that the interior angles of a triangle add to 180 degrees.

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

Chapter 3: Parallel and Perpendicular Lines
3.4: Proofs with Perpendicular Lines

EQ: How do you find the distance between a point and a line?

Example #5 on p.159 is similar to Cornell notes from class.

Prep work:  p160(21-23, 36)

Retake for Ch. 2 Test: p116(1-24, 26)
(On 1-4, skip inverse and contrapositive)