Triangle Inequalities

Which lists the sides of ∆PQR in order from greatest to least?

• PQ, QR, PR
• QR, PQ, PR
• PR, QR, PQ
• PR, PQ, QR

Tags

CCSS.HSG.CO.C.10

In ∆DEF, DE = 7x + 1, EF = 11x – 18, and
DF = 5x + 13. If the perimeter of ∆DEF is 88, 
 which of the following lists the angles in order from least to greatest?

• ∠D, ∠E, ∠F
• ∠D, ∠F, ∠E
• ∠F, ∠D, ∠E
• ∠E, ∠F, ∠D

Tags

CCSS.HSG.CO.C.10

In the diagram below, what must be the
measure of the angle marked x?

• 27°
• 29°
• 31°
• 34°

Tags

CCSS.8.G.A.5

What is m∠RTS in the triangle below?

• 59°
• 75°
• 78°
• 81°

Tags

CCSS.8.G.A.5

If ∆JKL is isosecles, what is m∠JKL?

• 37°
• 74°
• 106°
• 143°

Tags

CCSS.8.G.A.5

In Jessica’s room, the distance from the door D to the closet C is 4 feet. The distance from the closet to the window W is 6 feet. The distance from the window to the door is 8 feet. On a floor plan of her room, triangle CDW is drawn. Order the angles from least to greatest measure.

• angle C, angle D, angle W
• angle D, angle C, angle W
• angle W, angle C, angle D
• angle W, angle D, angle C

Tags

CCSS.HSG.CO.C.10

In disc golf, a player tries to throw a disc into a metal basket target. Four disc golf targets on a course are shown at right.
Which two targets are farthest apart?

• 1 and 2
• 2 and 3
• 3 and 4
• 4 and 1

Tags

CCSS.HSG.CO.C.11

Three cell phone towers are shown at the right. The measure of angle M is 10° less than the measure of angle K. The measure of angle L is 1° greater than the measure of angle K. Which two towers are closest together?

• M and L
• L and K
• K and M
• L and J

Tags

CCSS.8.G.A.5

A charter plane travels from Barrow, Alaska, to Fairbanks. From Fairbanks, it flies to Nome,
and then back to its starting point in Barrow.
Which of the three legs of the trip is
the longest?

• Fairbanks to Nome
• Nome to Barrow
• Barrow to Fairbanks
• Anchorage to Fairbanks

Tags

CCSS.HSG.CO.C.10

Name the largest angle in this triangle.

• ∠D
• ∠E
• ∠F

Tags

CCSS.HSG.CO.C.10