Geometry Properties of Inequalities

Which one lists the sides in order from least to greatest?

Which one lists the angles in order from least to greatest?

• Angles: Q, M, P

• Angles: P, M, Q

• Angles: P, Q, M

• MP, PQ, MQ

Is it possible to construct a triangle with sides 4cm, 4cm, 8cm?

• Yes

• No

• Sometimes

• Only when the sides do not equal

Which one of these can't be the side lengths of a triangle?

• 9, 9, 17

• 1, 1, 1

• 10, 10, 20

• 3, 4, 6

List the angles of the triangle in order from smallest to largest:

ΔXYZ, where XY = 12, YZ = 24, ZX = 30

• ∡Z, ∡X, ∡Y

• ∡X, ∡Y, ∡Z

• ∡Z, ∡Y, ∡X

• ∡Y, ∡Z, ∡X

List the sides of the triangle in order from shortest to longest:

ΔDEF, with m∡D = 20, m∡E = 120, and m∡F = 40

• EF, DE, DF

• DE, DF, EF

• DF, DE, EF

• DF, EF, DE

Can a triangle have sides with the given lengths:

4 m, 5 m, 9 m

• Yes

• No

Can a triangle have sides with the given lengths?

15 cm, 1 cm, 15 cm

• Yes

• No

The lengths of two sides of a triangle are 5 in and 16 in. What is the range of possible lengths for the third side?

• 11 in < x < 21 in

• x > 0

• 11 or 21

• 5 < x < 16

Which angle belongs in the middle?

• <R
• <S
• <T