Geometry Quiz

A paragraph proof

• uses inductive reasoning to prove a statement.

• contains a table with a logical series of statements and reasons.

• uses a visual chart of the logical flow of steps needed to reach a conclusion.

• contains a set of sentences explaining the steps needed to reach a conclusion.

A two-column proof

• uses a visual representation of the logical flow of steps needed to reach a conclusion.

• contains a table with a logical series of statements and reasons that reach a conclusion.

• contains a set of sentences explaining the steps needed to reach a conclusion.

• uses inductive reasoning to prove a statement.

Given that ∠CEA is a right angle and bisects ∠CEA, which statement must be true?

• ∠BEA ≅ ∠CEA

• ∠CEB ≅ ∠CEA

• m∠CEB = 45°

• m∠CEA = 45°

Which statement is true about the diagram?

• K is the midpoint of AB.

• B is the midpoint of KT.

• AK = BT

• AB = KT

Which statement is true about the diagram?

• ∠DEF is a right angle.

• m∠DEA = m∠FEC

• ∠BEA ≅ ∠BEC

• bisects ∠AEF.

Given that bisects ∠DBC, which statement must be true?

• m∠ABD = m∠ABC

• AB ≅ BC

• B is the midpoint of DC.

• m∠DBC = 90°

Given that D is the midpoint of AB and K is the midpoint of BC, which statement must be true?

• DB = BK

• B is the midpoint of AC.

• D bisects AK.

• AK + BK = AC

The last line of a proof represents

• The last line of a proof represents

• the argument.

• the conclusion.

• the assumptions.

Which statement is true about the given information?

• BD = BC

• BC = BE

• BD ≅ CE

• BC ≅ BD

Complementary angles are angles whose sum is

• 180

• 120

• 90

• 60