Beginning of Geometry

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

In a flat plane, given line m and point P not on line m, which of the following best describes the number of lines that can be drawn through point P that are parallel to line m?

• an infinite number

• exactly two

• exactly one

• at least one

Which of the following statements is false?

• Every angle has a unique line that bisects it.

• Every segment has a unique line that bisects it.

• Every linear angle pair is also a supplementary angle pair.

• Through any point not on a line, there is only one line that can be drawn through the point parallel to the line.

If ∠DAY is a right angle and m∠DAY = -x+34, then what is the value of x?

• 90

• 112

• 97

• 121

If m∠TMI = 5x+2 and x=20, then classify ∠TMI as acute, obtuse, right, or straight.

• acute

• obtuse

• right

• straight

The lines AB and CD pass through the points A(-3,7), B(9,3), C(3,-2), and D(7,6). At which of the following points do the two lines intersect?

• (3,7)

• (–1,5)

• (8,-2)

• (6,4)

What does this represent?

• triangle ABC

• angle ABC

• line ABC

• parallelogram ABC