Triangle Relationships Review

If segment KM is the perpendicular bisector of segment JL,

find x. 

Find m∠YQR. 

Use the diagram below in which G is the centroid of ΔABC, FC = 35, AG = 42, BF = 57 and DG = 14. 

Find AC, BG, GC, and AE.

• AC=70, BG=38, GC=28, AE=63

• AC=72, BG=40, GC=30, AE=64

• AC=70.5, BG=37.5, GC=14, AE=24

Which of the following could represent the side lengths of a triangle?

• 23, 28, 52

• 34, 9, 25

• 13, 22, 14

The lengths of two sides of a triangle are 26 meters and 48 meters. What is the range of possible lengths, in meters, for the third side, x, of this triangle?

•  22 <  x <  74

• 26  <  x <  48

• 14  <  x <  74

Two sides of a triangle measure 17 inches and 9 inches. Which cannot be the length of the remaining side?

• 21

• 26

• 9

• 15

If the angles of ΔRST are m∠R = (9x – 2)°, m∠S = (4x + 36)°, and m∠T = (5x + 20)°, list the sides in order from shortest to longest.

• segment RS, segment ST, segment RT

• segment ST, segment RT, segment RS

• segment RS, segment RT, segment ST

Which of the following lists the sides of ΔDEF in order from shortest to longest?

• segment DF, segment DE, segment EF

• segment DE, segment DF, segment EF

• segment EF, segment DF, segment DE

In ΔGHJ, GH = 21 inches, HJ = 24 inches, and GJ = 9 inches. Which statement is true?

• ∠G is the smallest

• ∠J is the smallest

• ∠H is the largest

• ∠G is the largest

In ΔPQR, PQ = 11 feet, QR = 7 feet, and PR = 15 feet. Which list the angles in order from smallest to largest? 

• ∠P, ∠R, ∠Q

• ∠R, ∠Q, ∠P

• ∠P, ∠Q, ∠R

• ∠Q, ∠R, ∠P