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Jeopardy

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Triangle Inequality Theorems

Angle Side Relationships

Hinge Theorem

Misc.

Converse of Hinge Theorem

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Final Jeopardy

If two sides of a triangle are not congruent, the larger angle is _________ the longer side.

What is opposite?

This is the order of the angles from least to greatest.

What is <F, <H, and <G?

This is the order of the angles from least to greatest.

What is <B, <A, and <C?

This is the sides in order from shortest to longest.

What is , , and ?

This is the order of the sides from shortest to longest.

What is , , and ?

The sum of any 2 side lengths of a triangle is __________ the third side length.

What is greater than?

A triangle can have sides of 10, 7 and 19 – why or why not

What is no because 10 + 7 is not greater than 19?

A triangle sides measure 10 and 6. This is the range of the third side.

What is

4 < x < 16?

The sides of a triangle are 6.2, 7.5 and 9.3. Why or why not?

What is yes because 6.2 + 7.5 > 9.3

6.2 + 9.3 > 7.5

7.5 + 9.3 > 6.2?

This the range of the third side of a triangle with side lengths 12 and 5.

What is

7 < x < 17?

If two sides of one triangle are congruent to two sides of another triangle and the included angles are not congruent, then the ______ third side is across from the larger included angle.

What is longer?

This is the comparison of AB and DE.

What is

DE > AB?

This is the comparison between QR and ST.

What is

QR > ST?

This is the range of the values for x.

What is

-2 < x < 10.5 ?

This is the range of values for x.

What is

1 < x < 4?

If two sides of one triangle are congruent to two sides of another triangle and the third sides are not congruent, then the larger included angle is _________ from the longer third side.

What is across or opposite?

This is the comparison of m<BAC and m<DAC.

What is m<BAC > m<DAC?

This is the comparison between m<EGH and m<EGF.

What is

m<EGH < m<EGF?

This is the range of the values of x.

What is

7 < x < 58?

This is the range of the values of x.

What is

1.6 < x < 8.5 ?

If two angles of a triangle are not congruent, then the ________ side is opposite the larger angle.

What is longest?

This is the value of angle A.

56˚

A

What is 34˚ ?

All the angles in a triangle add up to this.

What is 180˚?

This is the range for the distance between San Francisco and Oakland

What is

5 < x < 97?

Mrs. Russo wants to place her chair 15 feet away from the pool. Can the other distances be 9 and 4.5?

chair

tree

pool

What is no because

9 + 4.5 is not greater than 15 ?

Three cell phone towers are shown below. The measure of <Mis 10° less than the measure of <K. The measure of <Lis 1° greater than the measure of <K. These are the two towers that are closest together?

What is towers K and L?