1.1.5 Quiz - Week One: Points, Lines, Planes, & Angles

m∠T = (3y − 36)°. Find the measure of the supplement of ∠T.

(216 − 3y)°

S is in the interior of ∠PQR, m∠PQS = 87°, and m∠SQR = 33°. Find m∠PQR.

120°

m∠W = 73°. Find the measure of the complement of ∠W.

17°

TV bisects STU, STV=(1/4x+8). m< UTV=(x+2). find m (STU)

20°

m∠PQS = (3x − 3)° and m∠RQS = (x + 19)°. Find the value of x.

41

m∠F = 109°. Find the measure of supplement of ∠F.

71°

D is in the interior of ∠ABC, m∠ABD = 63°, and m∠DBC = 23°. Find m∠ABC.

86°

Identify the intersection of plane R and plane Q.

AB (with an arrow on top)

Identify the intersection of plane R and plane Q.

AB (with line over it)

B is between A and C, AB = 13.7 and BC = 8.3. Find AC.

AC = 22

Identify a point on AD

B

Identify two opposite rays.

OB and OD

Identify the intersection of plane A and plane B.

PQ (with line over it)

GH bisects LM at K so that K is that midpoint of LM. If LK= 5x+2 and LM=64, find the x

X=6

Tell whether this statement is sometimes, always, or never true. Identify the answer with a sketch. If B is a point between A and C, then AB + BC = AC.

always true;

Determine whether this statement is true or false. If false, identify the correct explanation. If an angle is obtuse, then its supplement is greater than a right angle.

false; supplement is less than a right angle

Identify the picture that represents a ray with endpoint P that passes through Q.

left side arrow

m∠ABC = (6x + 8)° and m∠DEF = (12x − 8)°. If ∠ABC and ∠DEF are supplementary, what is the measure of each angle?

m∠ABC = 68°; m∠DEF = 112°

m∠RSU = (5x + 7)° and m∠UST = (9x − 1)°. If ∠RSU and ∠UST are complementary, find the measure of each angle.

m∠RSU = 37°; m∠UST = 53°

m∠WYX = (2x − 1)° and m∠WYZ = (4x + 1)°. If ∠WYX and ∠WYZ are complementary, what is the measure of each angle?

m∠WYX = 29°; m∠WYZ = 61

Classify ∠CBE as acute, right, straight, or obtuse.

obtuse

Identify the plane containing X, Y, and Z.

plane E

Classify ∠VYZ as acute, right, straight, or obtuse.

right

Determine whether this statement is true or false. If false, identify the correct explanation. If a ray divides an angle into two supplementary angles, then the original angle is a straight angle.

true

PQ bisects ST at R so that R is that midpoint of ST. If SR= 3x+3 and ST=30, find x

x = 4