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### Daily Double

### Daily Double

Welcome!

The Topic For Today Is…

Topic 1: 600

- Question:
- Answer

Angle 1= 97⁰ Angle 3= 62⁰

Angle 2= 83⁰

Find the measures of angles 1, 2 and 3

Back

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

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.”

- Answer

False- 25⁰ is the correct angle

Back

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

Back

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=55⁰Angle T=65⁰

Back

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

Back

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

Back

Topic 3: 400

- Question:
- Lines EH and DG bisect each other.

How would you prove that these triangles are congruent?

- Answer
- SAS!

Back

Topic 3: 600

- Question:

Which triangles are

congruent in the figure?

- Answer

∆NMH= ∆HGN

Or ∆HMN = ∆NGH

Back

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, 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 sides

NP ≅ MP.

How will you prove that

∆SMP ≅ ∆TNP?

- Answer
- SAS or SSS

R

N

M

S

T

P

Back

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

Back

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!

Back

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!

Back

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!

Back

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

Back

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?

Back

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!

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!

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