Welcome!The Topic For Today Is…

CHAPTER 4Find the Angles!

Word Problems!

Triangle Congruence!

General Chapter 4 Knowledge!

Points, Slopes & Lines, oh my!

200 200 200 200 200

400 400 400 400 400

600 600 600 600 600

800 800 800 800 800

1000 1000 1000 1000 1000

Final Jeopardy

Topic 1: 200• Question:

• Answer The angle is 28⁰ !

Back

Find the measure of P1

Topic 1: 400• Question:Find x

• AnswerX=4

Back

Topic 1: 600• Question:

• AnswerAngle 1= 97⁰ Angle 3= 62⁰Angle 2= 83⁰Back

Find the measures of angles 1, 2 and 3

Topic 1: 800• Question:• Find the measures of each numbered angle:

• AnswerAngle 1=140⁰ Angle 2=40⁰ Angle 3=65⁰ Angle 4=75⁰ Angle 5=115⁰Back

Topic 1: 1000• Question:

• Answer• 15⁰!

Back

Topic 2: 200• Question:Decide whether the statement is true or false. If it is false, replace the underlined word with a word that will make the statement correct“If the measures of two angles of a triangle are 62 and 93, then the measure of the third angle is 35.”• AnswerFalse- 25⁰ is the correct angleBack

Topic 2: 400• Question:

Find x and the measure of each side of the triangle: ∆DEF is isosceles, D is the vertex angle, DE= x+7, DF = 3x-1, EF = 2x+5

• AnswerDE=11DF= 11EF=13 X=4

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Topic 2: 600• Question:In ∆RST, angle T is 5 more than angle R, and angle S is 10 less than angle T. What is the measure of each angle?

• Answer• Angle R=60⁰ Angle S=55⁰ Angle T=65⁰

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Topic 2: 800• Question:In ∆GHI, angle H is 20 more than angle G, and angle G is 8 more than angle I. What is the measure of each angle?

• AnswerAngle G=56, Angle H=76, Angle I=48

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Topic 2: 1000• Question:In ∆PQR, angle P = angle Q, and angle R is 24 less than angle P. What is the measure of each angle?

• AnswerAngle P=68⁰ Q=68⁰ R=44⁰

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Topic 3: 200• Question:Which Postulate can you use to prove these triangles congruent? • Answer• SAS

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Topic 3: 400• Question:• Lines EH and DG bisect each other.How would you prove that these triangles are congruent?• Answer• SAS!

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Topic 3: 600• Question:Which triangles are congruent in the figure?

• Answer∆NMH= ∆HGN Or ∆HMN = ∆NGH

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Topic 3: 800• Question:Name the corresponding congruent angles and sides for the congruent triangles:

• AnswerAngle A Angle D≅Angle ABC Angle DCB≅Angle ACB Angle DBC,≅ AB DC≅AC DB, BC CB≅ ≅Back

Topic 3: 1000• Question:∆RST is isosceles with RS=RT, angle S angle MPS≅M, N, and P are midpoints of their sidesNP MP. ≅How will you prove that∆SMP ∆TNP?≅

• Answer• SAS or SSSBack

SM

RN

TP

Topic 4: 200• Question:How many triangles are there?

• Answer• 8!

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Topic 4: 400• Question:Name the congruent angles and sides for

∆ABC ∆DEF ≅

• AnswerLines: AB=DE, BC=EF,AC=DFAngles: A=D,B=E,C=F

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Topic 4: 600• Question:

• AnswerX= 34Y= 15 Z= 142⁰

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Find x, y, and z!

Topic 4: 800• Question:• Determine whether ∆EFG ∆MNP given:≅E(-4,-4), F(-2,1), G(-2,-3)

M(4,-4), N(2,1), P(2,-3) & show how!• Answer YES!

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Topic 4: 1000• Question:

• AnswerAngles CFD=60⁰ ABF=70⁰ AFB=55⁰ A=55⁰

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Measure of angles:CFDABFAFBA

Topic 5: 200• Question:Point H is at (5,2) and point K is at (7,10)What is the slope of Line HK?

• Answer4!

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Topic 5: 400• Question:Write the equation for a line with a slope perpendicular to the line y=3x+5

• Answery=-1/3x+5, anything with -1/3 as the slope of the line!

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Topic 5: 600• Question:• 3 + 6

• Answer• 12!

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Topic 5: 800• Question:Write an equation in slope intercept form for the line that satisfies the following conditions:Perpendicular to y=-4x+1, contains the point (-3,1)• Answery=1/4x+7/4

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Topic 5: 1000• Question:How would you properly name this plane??

• AnswerPlane DBE or Plane R

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Bonus Question• Question:∆ABC is isosceles, ∆DCE isequilateral, ∆FCG is isosceles. Find the measures ofthe five numbered angles atvertex C.

• AnswerAngle 1=18⁰, Angle 2=17⁰, Angle 3=26⁰Angle 4=17⁰, Angle 5=18⁰…how to check?Back

Daily Double

The Winner Of The Last RoundWrite Down How Much Money

You Are Willing To RiskIf You get the Question write you win that money

If you get it wrong you Loss the money!

Daily Double

The Winner Of The Last RoundWrite Down How Much Money

You Are Willing To RiskIf You get the Question write you win that money

If you get it wrong you Loss the money!