Second Six Weeks Test

Given: PA = PC and BA = BC. Suppose m∠1 = 39°, find m∠3.

• Not enough information.

• m∠3 = 141°

• m∠3 = 51°

• m∠3 = 39°

If the two lines are perpendicular, find the values of x and y.

• x = 6, y = 20

• x = 20, y = 6

• x = 16, y = 20

• x = 20, y = 16

Draw two lines and a transversal such that ∠1 and ∠2 are alternate interior angles, ∠2 and ∠3 are vertical angles, and ∠3 and ∠4 are same-side exterior angles. What type of angle pair is ∠1 and ∠4?

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Find the length of LN. State the postulate or theorem you used.

• LN = 225 by SSS.

• LN = 140 by ASA.

• LN = 225 by AAS.

• LN = 140 by SAS.

∆ABD ≅ ∆CBD. Name the theorem or postulate that justifies the congruence.

• SAS

• ASA

• AAS

• HL

∆ABC and ∆DEF have the following properties: AB ≅ DE, BC ≅ EF, and ∠B ≅ ∠E. If AB = 19, BC = 16, m∠B = 50°, DE = x + 12, EF = 3x - 5, and m∠E = (5x + 15)°, determine the value of x.

• x = 14

• x = 10

• x = 12

• x = 7

∆XYZ and ∆UVW have the following properties: XY ≅ UV, YZ ≅ VW, and ZX ≅ WU. If UV = 17, VW = 11, WU = 14, XY = 2X - 5, YZ = x, and ZX = x + 3, determine the value of x.

• x = 11

• x = 8

• x = 18

• x = 6

Which of the following pair of triangles are congruent?

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What value of x will make the given triangles congruent? Show your work.

• x = 14

• x = 11

• x = 24

• x = 10

Which lines, if any, are parallel based on the diagram and information? Given: ∠ 8 and ∠15 are supplementary.

• a and b are parallel

• c and d are parallel

• a and c are parallel

• b and d are parallel