Mathematics 4th Quarter

TRIANGLE INEQUALITY THEOREM

The sum of the lengths of any two sides of a triangle is ____________

than the length of the third side.

Use the Triangle Inequality Theorem to show whether the given numbers

can be the length of the sides of a triangle:

6, 9, 8

• YES

• NO

Use the Triangle Inequality Theorem to show whether the given numbers

can be the length of the sides of a triangle:

8, 17, 9

• YES

• NO

Use the Triangle Inequality Theorem to show whether the given numbers

can be the length of the sides of a triangle:

4, 10, 16

• YES

• NO

Use Triangle Inequality Theorem:

Find the possible range for the third side given two sides of a triangle.

Given two sides measuring 9 cm and 12 cm, determine the possible

 length of the third side.

• 21 > c < 3

• 21 < c > 3

• 3 < c < 21

• 3 > c > 21

Solve real-life word problems involving the Triangle Inequality Theorem.

A ladder leans against a wall, forming a triangle with the ground. If the ladder measures 15 feet and the wall is 9 feet high, what are the possible distances of the ladder’s base from the wall?

• 24 feet

• 20 feet

• 5 feet

• 6 feet

If two parallel lines are cut by a transversal then corresponding angles are __________.

• Congruent

• Supplementary

Tags

CCSS.HSG.CO.C.9

Alternate interior angles are _________.

• Congruent

• Supplementary

Tags

CCSS.HSG.CO.C.9

The same-side interior angles are __________.

• Congruent

• Supplementary

Tags

CCSS.HSG.CO.C.9

If two parallel lines are intersected by a transversal, then alternate exterior angles are _________.

• Congruent

• Supplementary

Tags

CCSS.HSG.CO.C.9