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Welcome!
The Topic For Today Is…
CHAPTER 4
Find the
Angles!
Word
Problems!
Triangle
Congruence!
General
Chapter 4
Knowledge!
Points, Slopes
& Lines, oh
my!
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Final Jeopardy
Topic 1: 200
• Question:
Find the measure of P1
• Answer
The angle is 28⁰ !
Topic 1: 400
• Question:
Find x
• Answer
X=4
Topic 1: 600
• Question:
Find the measures
of angles 1, 2 and 3
• Answer
Angle 1= 97⁰
Angle 2= 83⁰
Angle 3= 62⁰
Topic 1: 800
• Question:
• Find the measures of
each numbered angle:
• Answer
Angle 1=140⁰ Angle 2=40⁰
Angle 3=65⁰ Angle 4=75⁰ Angle 5=115⁰
Topic 1: 1000
• Question:
• Answer
• 15⁰!
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.”
• Answer
False- 25⁰ is the correct angle
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
• Answer
DE=11
DF= 11
EF=13
X=4
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
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?
• Answer
Angle G=56, Angle H=76, Angle I=48
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?
• Answer
Angle P=68⁰ Q=68⁰ R=44⁰
Topic 3: 200
• Question:
Which Postulate can you use to prove these
triangles congruent?
• Answer
• SAS
Topic 3: 400
• Question:
• Lines EH and DG bisect each other.
How would you prove that these triangles are
congruent?
• Answer
• SAS!
Topic 3: 600
• Question:
Which triangles are
congruent in the figure?
• Answer
∆NMH= ∆HGN
Or ∆HMN = ∆NGH
Topic 3: 800
• Question:
Name the corresponding congruent angles and
sides for the congruent triangles:
• Answer
Angle A ≅ Angle D
Angle ABC ≅ Angle DCB
Angle ACB ≅ Angle DBC,
AC ≅ DB, BC ≅ CB
AB ≅ DC
Topic 3: 1000
• Question:
∆RST is isosceles with RS=RT, angle S≅angle MPS
M, N, and P are midpoints of their sides
NP ≅ MP.
How will you prove that
∆SMP ≅ ∆TNP?
• Answer
• SAS or SSS
Topic 4: 200
• Question:
How many triangles are there?
• Answer
• 8!
Topic 4: 400
• Question:
Name the congruent angles and sides for
∆ABC≅ ∆DEF
• Answer
Lines: AB=DE, BC=EF,AC=DF
Angles: A=D,B=E,C=F
Topic 4: 600
• Question:
Find x, y, and z!
• Answer
X= 34
Y= 15
Z= 142⁰
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!
• Question:
Measure of angles:
CFD
ABF
AFB
A
Topic 4: 1000
• Answer
Angles CFD=60⁰ ABF=70⁰ AFB=55⁰ A=55⁰
Topic 5: 200
• Question:
Point H is at (5,2) and point K is at (7,10)
What is the slope of Line HK?
• Answer
4!
Topic 5: 400
• Question:
Write the equation for a line with a slope
perpendicular to the line y=3x+5
• Answer
y=-1/3x+5, anything with -1/3 as the slope of
the line!
Topic 5: 600
• Question:
• 3 5−7 +6
• Answer
• 12!
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)
• Answer
y=1/4x+7/4
Topic 5: 1000
• Question:
How would you properly name this plane??
• Answer
Plane DBE or Plane R
Bonus Question
• Question:
∆ABC is isosceles, ∆DCE is
equilateral, ∆FCG is
isosceles. Find the measures of
the five numbered angles at
vertex C.
• Answer
Angle 1=18⁰, Angle 2=17⁰, Angle 3=26⁰
Angle 4=17⁰, Angle 5=18⁰…how to check?
Daily Double
The Winner Of The Last Round
Write Down How Much Money
You Are Willing To Risk
If 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 Round
Write Down How Much Money
You Are Willing To Risk
If You get the Question write you win that money
If you get it wrong you Loss the money!