Congruent Segments and Angles Circuit

VM is congruent to MW. Solve for x to determine the length of MW. (Given: VM = 4x - 1, MW = 3x + 3)

• x = 4, MW = 15

• x = 2, MW = 9

• x = 5, MW = 18

• x = 3, MW = 12

Tags

CCSS.HSG.CO.C.10

RT is 67 units long. Solve for x to determine the length of UT. (Given: RS = 2x, SU = 2x + 5, UT = 6x + 7, RT = RS + SU + UT)

• x = 5, UT = 37

• x = 6, UT = 43

• x = 4, UT = 31

• x = 7, UT = 49

Tags

CCSS.4.MD.A.2

∠PML is congruent to ∠LMR. Determine the measure of ∠PML. (Given: ∠PML = 6x - 11, ∠LMR = 10x - 51)

• x = 8, ∠PML = 37°

• x = 7, ∠PML = 31°

• x = 9, ∠PML = 43°

• x = 6, ∠PML = 25°

Tags

CCSS.7.G.B.5

∠TBM is 52 degrees. Solve for x to determine the measure of ∠RBM.

• x = 13.75, ∠RBM = 123°

• x = 10, ∠RBM = 100°

• x = 15, ∠RBM = 130°

• x = 20, ∠RBM = 140°

Tags

CCSS.7.G.B.5

QT is 28 units long. Solve for x to determine the length of NT.

• NT = 3x + 8 = 3(4) + 8 = 20 units (x = 4)

• NT = 3x + 8 = 3(5) + 8 = 23 units (x = 5)

• NT = 3x + 8 = 3(6) + 8 = 26 units (x = 6)

• NT = 3x + 8 = 3(3) + 8 = 17 units (x = 3)

Tags

CCSS.HSG.CO.C.10

SR is 29 units long. Solve for x to determine the length of ST.

PM is congruent to MQ. Solve for x to determine the length of PM.

Tags

CCSS.HSG.CO.C.9

ST is congruent to TU. Solve for x to determine the length of SU.

• SU = (3x + 4) + (5x - 2) = 8x + 2 = 8(3) + 2 = 26 units (x = 3)

• SU = (3x + 4) + (5x - 2) = 8x + 2 = 8(2) + 2 = 18 units (x = 2)

• SU = (3x + 4) + (5x - 2) = 8x + 2 = 8(4) + 2 = 34 units (x = 4)

• SU = (3x + 4) + (5x - 2) = 8x + 2 = 8(1) + 2 = 10 units (x = 1)

Tags

CCSS.HSG.CO.C.10

ST is 41 units long. Solve for x to determine the length of SR. (Given: S---5x---R---6---T)

• SR = 35 units (5x = 35, x = 7)

• SR = 30 units (5x = 30, x = 6)

• SR = 25 units (5x = 25, x = 5)

• SR = 20 units (5x = 20, x = 4)

Tags

CCSS.4.MD.A.2

∠LUV is 21 degrees. Solve for x to determine the measure of ∠PUV. (Given: ∠LUV = 21°, ∠LUP = x + 4, ∠PUV = 2x - 1)

• ∠PUV = 11 degrees (x = 6, 2x - 1 = 11)

• ∠PUV = 13 degrees (x = 7, 2x - 1 = 13)

• ∠PUV = 9 degrees (x = 5, 2x - 1 = 9)

• ∠PUV = 15 degrees (x = 8, 2x - 1 = 15)

Tags

CCSS.7.G.B.5