Inequalities in a Triangle

Last updated over 4 years ago

12 questions

1

G.9-12.5.D

1

G.9-12.5.D

1

3

In your own words, describe what it takes to form a triangle.

A  The sum of the lengths of any two sides of a triangle is less than the length of the third side.  

B  The sum of the lengths of any two sides of a triangle is equal to the length of the third side.  

C  The sum of the lengths of any two sides of a triangle is greater than the length of the third side.  

D The sum of the lengths of any two sides of a triangle is greater than or equal to the length of the third side. 

Determine if the set of numbers could represent the lengths of the sides of a triangle. Explain.
10 in, 20 in, 30 in

A No because the sum of the lengths of the two shorter sides is equal to the length of the third​ side, and this contradicts the triangle inequality theorem. 

B No because the sum of the lengths of the two shorter sides is less than the length of the third​ side, and this contradicts the triangle inequality theorem. 

C Yes because the sum of the lengths of any two sides is greater than the length of the third​ side, and this satisfies the triangle inequality theorem. 

D Yes because the sum of the lengths of any two sides is less than the length of the third​ side, and this satisfies the triangle inequality theorem. 

You can draw a triangle using these side lengths.
7,7,7

True

False

You can draw a triangle using these side lengths.
3,4,1

True

False

List the sides from longest to shortest.

AC, AB, BC

BC, AB, AC

AB, AC, BC

BC, AC, AB

FIRST, find the missing angle D in the triangle? List the sides from shortest to longest.

EF, DE, DF

EF, DF, DE

DF, DE, EF

DE, EF, DF

1

Use the Triangle Sum Theorem to find the measure of angle 1.

1

Use the Triangle Sum Theorem to find the measure of angle 1.

1

Angle 8 and __________ are corresponding angles (CA).

Angle 4 and __________ are alternate interior angles (AIA).

Line s is parallel to Line t. Write an equation and solve for x.

In your own words, describe what it takes to form a triangle.

A  The sum of the lengths of any two sides of a triangle is less than the length of the third side.  

B  The sum of the lengths of any two sides of a triangle is equal to the length of the third side.  

C  The sum of the lengths of any two sides of a triangle is greater than the length of the third side.  

D The sum of the lengths of any two sides of a triangle is greater than or equal to the length of the third side. 

Determine if the set of numbers could represent the lengths of the sides of a triangle. Explain.
10 in, 20 in, 30 in

A No because the sum of the lengths of the two shorter sides is equal to the length of the third​ side, and this contradicts the triangle inequality theorem. 

B No because the sum of the lengths of the two shorter sides is less than the length of the third​ side, and this contradicts the triangle inequality theorem. 

C Yes because the sum of the lengths of any two sides is greater than the length of the third​ side, and this satisfies the triangle inequality theorem. 

D Yes because the sum of the lengths of any two sides is less than the length of the third​ side, and this satisfies the triangle inequality theorem. 

You can draw a triangle using these side lengths.
7,7,7

True

False

You can draw a triangle using these side lengths.
3,4,1

True

False

List the sides from longest to shortest.

AC, AB, BC

BC, AB, AC

AB, AC, BC

BC, AC, AB

FIRST, find the missing angle D in the triangle? List the sides from shortest to longest.

EF, DE, DF

EF, DF, DE

DF, DE, EF

DE, EF, DF

Use the Triangle Sum Theorem to find the measure of angle 1.

Use the Triangle Sum Theorem to solve for x.

22.25

88

34

11

Use the Triangle Sum Theorem to solve for x.

22.25

88

34

11

Inequalities in a Triangle

Inequalities in a Triangle

Use the Triangle Sum Theorem to find the measure of angle 1.

Angle 8 and __________ are corresponding angles (CA).

Angle 4 and __________ are alternate interior angles (AIA).

Line s is parallel to Line t. Write an equation and solve for x.

In your own words, describe what it takes to form a triangle.

Determine if the set of numbers could represent the lengths of the sides of a triangle. Explain.10 in, 20 in, 30 in

You can draw a triangle using these side lengths.7,7,7

You can draw a triangle using these side lengths.3,4,1

List the sides from longest to shortest.

FIRST, find the missing angle D in the triangle? List the sides from shortest to longest.

Use the Triangle Sum Theorem to find the measure of angle 1.

Use the Triangle Sum Theorem to find the measure of angle 1.

Angle 8 and __________ are corresponding angles (CA).

Angle 4 and __________ are alternate interior angles (AIA).

Line s is parallel to Line t. Write an equation and solve for x.

Use the Triangle Sum Theorem to find the measure of angle 1.

Use the Triangle Sum Theorem to solve for x.

Determine if the set of numbers could represent the lengths of the sides of a triangle. Explain.
10 in, 20 in, 30 in

You can draw a triangle using these side lengths.
7,7,7

You can draw a triangle using these side lengths.
3,4,1