Third Six Weeks Test

KZ, LZ, and MX are perpendicular bisectors of triangle GHJ and meet at Z. Find the value of y.

• y = 11

• y = 10

• y = 34

• y = 3

SP is an angle bisector of ∠UST. If m∠1 = (3x + 15)° and m∠2 = (2x + 30)°, find x.

• x = 10

• x = 15

• x = 30

• x = 60

Find x and DF if EG is a median of triangle DEF.

• x = 14; DF = 68

• x = 10; DF = 26

• x = 10; DF = 52

• x = 14; DF = 34

Find x and IK if HK is the altitude of triangle HIJ.

• x = 9; IK = 52

• x = 4; IK = 18

• x = 4; IK = 37

• x = 9; IK = 28

QR is the midsegment of triangle XYZ. Find the values of x, QR, and XZ.

• x = 9; QR = 11; XZ = 22

• x = 7; QR = 6; XZ = 12

• x = 12; QR = 17; XZ = 34

• x = 6; QR = 5; XZ = 10

ABCD is a parallelogram. Find y and BC. (Hint: To find BC, you need to find x first.)

• y = 20; BC = 25

• y = 25; BC = 70

• y = 25; BC = 20

• y = 20; BC = 90

If D(-1, 3), E(2, 0), F(-1, -3), and G(-4, 0), classify DEFG. Justify your answer.

• Square; Diagonals are congruent and perpendicular.

• Rhombus; Diagonals are perpendicular and sides are congruent.

• Rectangle; Diagonals are congruent and sides are perpendicular.

• Kite; Diagonals are perpendicular.

Order the angles of the triangle from smallest to largest.

• B, C, A

• A, B, C

• C, A, B

• A, C, B

Determine the relationship between DE and DG. (Hint: Find the measure of ∠DEG and ∠EGD first.)

• DE is longer than DG.

• DE is equal to DG.

• DE is shorter than DG.

• Not enough information.

Triangle ABC is isosceles. Find the value of x. (Hint: Two angles that form a straight line equal 180°.)

• x = 25

• x = 40

• x = 42

• x = 32