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Math
Geometry
Introduction to Proof Assignment and Quiz
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Terms in this set (19)
Which statement is true about the diagram?
∠BEA ≅ ∠BEC
Segment AB is congruent to segment AB.
This statement shows the _____ property
reflexive
Given that RT ≅ WX, which statement must be true?
RT + TW = WX + TW
A two-column proof
contains a table with a logical series of statements and reasons that reach a conclusion.
Given that D is the midpoint of AB and K is the midpoint of BC, which statement must be true?
AK + BK = AC
What is the missing justification?
transitive property
Given that ∠CEA is a right angle and EB bisects ∠CEA, which statement must be true?
m∠CEB = 45°
Given that ∠ABC ≅ ∠DBE, which statement must be true?
∠ABD ≅ ∠CBE
Which statement is true about the diagram?
K is the midpoint of AB.
Given that BA bisects ∠DBC, which statement must be true?
m∠ABD = m∠ABC
Name the three different types of proofs you saw in this lesson. Give a description of each.
One type of proof is a two-column proof. It contains statements and reasons in columns. Another type is a paragraph proof, in which statements and reasons are written in words. A third type is a flowchart proof, which uses a diagram to show the steps of a proof.
Which property is shown?
If m∠ABC = m∠CBD, then m∠CBD = m∠ABC
symmetric property
EB bisects ∠AEC.
What statements are true regarding the given statement and diagram?
∠CED is a right angle.
∠CEA is a right angle.
m∠CEB = m∠BEA
m∠DEB = 135°
Given: m∠ABC = m∠CBD
Prove: BC bisects ∠ABD.
Justify each step in the flowchart proof.
A: given
B: definition of congruent
C: definition of bisect
Describe the main parts of a proof.
Proofs contain given information and a statement to be proven. You use deductive reasoning to create an argument with justification of steps using theorems, postulates, and definitions. Then you arrive at a conclusion.
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