Geometry Side-Angle Relationship Inequality - Transversal

Order the sides from least to greatest

• ve , vd , ed

• ed , vd , ve

• vd , ed , ve

• ed , ve , vd

Order the angles from least to greatest.

• R , Q , P

• R , P , Q

• Q , P , R

• P , Q , R

Can a triangle be formed with line segments that have lengths 2, 8 and 14 units?

• No, because these line segments wouldn't satisfy the triangle inequality theorem

• No, because there are only two sides to a triangle

• Yes, because these line segments satisfy the triangle inequality theorem

• Yes, because 8< 14

Fill in the blank: According to the triangle inequality theorem, any side of a triangle must be_______ the other two sides of the triangle combined

• equal to

• shorter than

• longer than

• None of these are correct

Can a triangle be formed with line segments that have lengths of 5, 6, and 9 units?

• Yes, because none of the lengths of the line segments are longer than the other two line segments combined.

• Yes, because you can create a triangle with any three line segments

• No, because a triangle requires four line segments

• No, because the line segments don't satisfy the triangle inequality theorem

Can the following lengths be made into a triangle?
4 cm,  7 cm,  2 cm

• Yes
• No
• 180º
• Complementary

Two sides of a triangle are 14 cm and 19 cm.  What is a possible length for the third side?

• 5 cm
• 11 cm
• 33 cm
• 40 cm

Two of the smaller sides of a triangle are 8 feet and 11 feet. Which of the following could be the smallest possible length of the third side?

• 18 feet

• 19 feet

• 20 feet

• 21 feet

What conclusion can be made about the value of x?

• x is shorter than 22

• x is longer than 22

• x is shorter than 8

• x is 15

Order the angles from smallest to largest.

• ∠D, ∠E, ∠C

• ∠D, ∠C, ∠E

• ∠C, ∠E, ∠D

• ∠C, ∠D, ∠E