Geometry Beginning Concepts Quiz

In the diagram below, points E, F, and G all lie on the same line. Which two geometric objects listed below are not the same?

• line EG and line GE

• Ray GE and Ray GF

• Ray EF and Ray FG

• Segment EF and Segment FE

Which of the following is the term we use for the collection of all points that lie a fixed distance away from another point?

• a line

• an arc

• a ray

• a circle

Points A, E, and N are collinear with point A between points E and N. If EN = 28 and AN is 12 units longer than EA, then which of the following is the length of EA?

• 8

• 12

• 20

• 40

In the diagram shown, the measure of angle QRT = 127° and angle QRS is a right angle. Which of the following is the measure of angle SRT?

• 30°

• 37°

• 44°

• 49°

In a supplementary angle pair, the measure of the larger angle is 12 degrees more than twice the measure of the smaller angle. Which of the following is the measure of the larger angle?

• 112°

• 118°

• 124°

• 136°

If the lines EF and CD intersect at point M, then which of the following would be a pair of vertical angles?

• ∠FMD and ∠DME

• ∠CMF and ∠DME

• ∠EMC and ∠CMF

• ∠CMD and ∠EMF

In the diagram below, points E, F, and G are collinear. If FH bisects ∠EFI and m∠IFG = 38°, then which of the following is the measure of ∠HFG?

• 71°

• 98°

• 109°

• 142°

In the diagram, MN bisects OP. Which of the following does not have to be true?

• MN is perpendicular to OP

• Q is the midpoint of OP

• OQ congruent to PQ

• ∠OQM ≌ ∠PQN

If ∠EHF and ∠FHI form a linear pair and ∠FHI and ∠IHG also form a linear pair, then which of the following must be true about ∠EHF and ∠IHG?

• They are supplementary

• They are Complementary

• They are congruent

• They are right angles

In the diagram below, points K, L, and M are collinear with KL = 34 cm and KM = 3(x+1). For what value of x below will M be the midpoint of KL ?

• 4.666666

• 5.5

• 8.75

• 10.3333333