2010-2011 _HONORS_ Lesson 4.4-5 Triangle Congruency Shortcuts

8/13/2019 2010-2011 _HONORS_ Lesson 4.4-5 Triangle Congruency Shortcuts

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(HONORS) Chapter 1 & 2 notes and homework, 5 of 6 1

Name: Date: Period:

LESSON 4.3-4 Shortcuts to Congruent Triangles SSS, SAS, ASA, AAS

(Review textbook pages 200-202, 207-208)

BRAIN JAVA

Use your NON-DOMINANT HANDto complete the following drill as quicklyand accuratly as you can. Fill in the blank. No calculator.

1. x + 9=10 2. 8 x = 8 3. x - 0= 2

(3 pts 100%, 2 pts 1-2 wrong, 1 pt 3 wrong, 0 pts 4+ wrong)

Switch back to your DOMINANT HANDto do the following

review problems. Where we have been:

In the diagram below, find ALL POSSIBLE angles and mark

directly on the diagram. Show work/computations in the

margins.


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Where we are going: During this lesson you will

this lesson you will

Mark and identify with the two short-cuts to congruent triangles, SSS & SAS

Mark and identify the two additional triangle shortcuts: ASA and AAS._____________

grasp the concept of a proof in relation to the SSS, SAS, ASA, and AAS. ________

DrawPQR and draw a reflected image ()HIJ

In the triangles above, list the three sets of angles and sides.

________ ________ _________ ________

_________ ________ _________ ________

_________ ________ _________ ________

Note, in s there are always ________ items which are congruent.

Remember, if triangles are congruent:

Definition of C.P.C.T.C:

C_____________ P_______ ofC_____________ T_________ are C___________


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Side, Side, SideCongruency Short Cut

Take out the bucket with the four pieces of licorice (do NOT EAT.yet)Take one piece of licorice each. Cut into 1 inch, 2 inch, and 2 pieces

You will now have a short, medium, long piece of licorice. Take your licoriceand make a triangle with the inside edges. Compare you triangle to those of

your quad mates. Your triangles all look ________________________. Draw smallerdiagramsrepresenting your quads triangles below.

Fill in the blanks (read aloud!)

What do you notice about the four licorice triangles?________________________

Eachwas build with th______ sets of corresponding, congruent se_____________.

What do you notice about the correspondinganglesof thes? _____________Therefore the triangles look completely c_______________. (allsix components

congruent)

Finally, you know that if the corresponding s___________ of two triangles arec_______________, then the entire t___________s (including the angles) are

________.

After filling in the above, raise you hand for a teacher check. After a

check you may divide the licorice pieces among your team and eat


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SHORT CUTS TOCONGRUENCY

Side-Side-Side If ___________________________________then ____________.

Side-Angle-Side If __________________________________then ____________.

Angle-Side-Angle If _________________________________then ____________.

Angle-Anlge-Side If _________________________________then ____________

NO, NO! SSA-It does NOT work (with one exception). Remember no bad

words spelled either way!


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!"#$#% " !!'("(

! !# &) &

!"#

In the triangles below, determine if they are marked to match SSS, SAS, ASA, or AAS.

__ __ __ __ __ __

__ __ __ __ __ __

____ ____ ____

____ ____ ________ ____ ____

____ ____ ____


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There are threesourcesof congruency

1.Things which are given as congruent.2.Impliedfrom the given information.3.The freebies:vertical angles, reflexive sides, reflexive angles.

Three freebiesVertical


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GUIDED PRACTICE

1. Use S or A to designate each pair. Determine whether thes are

congruent by SSS, SAS, ASA, and AAS.

.

___ ___ ___

In the following problems take the following four steps:

Retracethe GIVEN informationsides/angles and label with an S or A for each pair. Mark the freebies (vertical angles, reflexive sides/angles) as . Markthe sides/angles which isimpliedby the GIVEN information. Determineif the triangles are congruent by SSS, SAS, ASA, or AAS.2. Given: AC bisects


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5. In the proof to the LEFT:

Retracethepre-markedsides/angles and label with an S or

A for each pair.

Mark the freebies (vertical angles, reflexive sides/angles) as.

Markthe sides/angles which isimpliedby the GIVENinformation.

Determineif the triangles are congruent by SSS, SAS, ASA, or

AAS.

Your homework: Work on your chapter 3 & 4 study guide and

consider taking your first ALEKS quiz.

XW // YZ

2010-2011 _HONORS_ Lesson 4.4-5 Triangle Congruency Shortcuts

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