Jeopardy Type of Triangle Angles in a Triangle Congruent Triangles? Sides + Angles = Congruent? Misc. $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.

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Presentation transcript:

Jeopardy Type of Triangle Angles in a Triangle Congruent Triangles? Sides + Angles = Congruent? Misc. $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy

$100 Question from “Type of Triangle?” Triangle ABC has the following angle measures: m<A = 60 m<B = 60 m<C = 60 Classify ABC both by it’s angles and by it’s sides.

$100 Answer from “Type of Triangle” An equiangular equilateral triangle.

$200 Question from “Type of Triangle” What type of triangle is pictured below. You must classify it both by its angles AND by its side

$200 Answer from “Type of Triangle” Isosceles Right Triangle.

$300 Question from “Type of Triangle” What type of triangle is shown below? Classify it both according to ANGLES and according to SIDES.

$300 Answer from “Type of Triangle” Isosceles Obtuse Triangle

$400 Question from “Type of Triangle” What type of triangle is triangle ADC? What about ABC? Classify by angles and sides. Assume <Y is acute.

$400 Answer from “Type of Triangle” 1.Triangle ABC is an acute isosceles triangle 2.Triangle ADC is a right isosceles triangle.

$500 Question from “Type of Triangle”

$500 Answer from “Type of Triangle” Right isosceles triangle

$100 Question from“Angles in a Triangle ” What is the measure of <SCB?

$100 Answer from “Angles in a Triangle” M<SCB = 20 degrees.

$200 Question from “Angles in a Triangle” Find n and m.

$200 Answer from “Angles in a Triangle” N = 45 degrees M = 20 degrees

$300 Question from “Angles in a Triangle”

$300 Answer from “Angles in a Triangle”

$400 Question from “Angles in a Triangle” Find x. What theorem justifies your solution?

$400 Answer from “Angles in a Triangle” Exterior Angle Theorem x = 25

$500 Question from “Angles in a Triangle” In the diagram below, line ED and AC are parallel. Find the measures of <a, <b, <c and <e

$500 Answer from “Angles in a Triangle” <a is 40 degrees <b is 100 degrees <c is 40 degrees <e is 140 degrees

$100 Question from “Congruent Triangles?” Complete the congruence statement

$100 Answer from “Congruent Triangles?” Triangle FCB

$200 Question from “Congruent Triangles?” Determine x and y. Bonus $100 if you classify the triangle on the left with both angles and sides.

$200 Answer from “Congruent Triangles?” y= 40 x = 35 Acute Isosceles Triangle

$300 Question from “Congruent Triangles?”

$300 Answer from “Congruent Triangles?”

$400 Question from “Congruent Triangles?” Find x and y. What type of triangles are these? (classify just by sides)

$400 Answer from “Congruent Triangles?” y = 4 x = 5 Scalene Triangle

$500 Question from “Congruent Triangles?” Find x, y and z. What type of triangles are these (by sides and angles) **Hint you will have to use a theorem we haven’t spent a lot of time in the class dealing with but which showed up yesterday.

$500 Answer from “Congruent Triangles?” x = 4 y = 35 degrees z = 5 Right Scalene Triangle

$100 Question from “Sides + Angles = Congruent?” Bobby claims that two triangles are congruent because the angles of the two triangles are congruent. Is he correct? Why or why not?

$100 Answer from “Sides + Angles = Congruent?” NO. He is incorrect because AAA isn’t a justification for congruent triangles.

$200 Question from “Sides + Angles = Congruent?”

$200 Answer from “Sides + Angles = Congruent?” 1.No because A-S-S is not a justification for congruent triangles. 2.Yes- if those angles are congruent we have right triangles which gives us HL.

$300 Question from “Sides + Angles = Congruent?” 1. Are triangles APC and APB congruent? Why or why not? 2. If <APC and <APB are right, give three ways you can claim these triangles are congruent.

$300 Answer from “Sides + Angles = Congruent?” 1.Yes by SAS 2.Yes by SAS, ASA, HL or HA

$400 Question from “Sides + Angles = Congruent?”

$400 Answer from “Sides + Angles = Congruent?” Triangle BOP is congruent to Triangle COP by HL.

$500 Question from “Sides + Angles = Congruent?” Find x:

$500 Answer from “Sides + Angles = Congruent?” X = 56 degrees.

$100 Question from “Misc.” True or False: S- S – A never works to prove that triangles are congruent.

$100 Answer from “Misc.” False- one exception is HL

$200 Question from “Misc.” Find x.

$200 Answer from “Misc.” x = 31

$300 Question from “Misc.” Find n and m. What types of triangles are there in the picture (by angles)?

$300 Answer from “Misc.” N = 30 degrees M = 90 degrees Equiangular (equilateral) and right triangle

$400 Question from “Misc.”

$400 Answer from “Misc.”

$500 Question from “Misc.”

$500 Answer from “Misc.”

Final Jeopardy

Final Jeopardy Answer