Exam (elaborations)
Introduction to Proof Assignment and Quiz (1).
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- Module 1 Use It
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- Module 1 Use It
Introduction to Proof Assignment and Quiz (1).
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Introduction to Proof Assignment and QuizWhich statement is true about the diagram? - ANS-∠BEA ≅ ∠BEC
Segment AB is congruent to segment AB.
This statement shows the _____ property - ANS-reflexive
Given that RT ≅ WX, which statement must be true? - ANS-RT + TW = WX + TW
A two-column proof - ANS-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? -
ANS-AK + BK = AC
What is the missing justification? - ANS-transitive property
Given that ∠CEA is a right angle and EB bisects ∠CEA, which statement must be true? -
ANS-m∠CEB = 45°
Given that ∠ABC ≅ ∠DBE, which statement must be true? - ANS-∠ABD ≅ ∠CBE
Which statement is true about the diagram? - ANS-K is the midpoint of AB.
Given that BA bisects ∠DBC, which statement must be true? - ANS-m∠ABD = m∠ABC
Name the three different types of proofs you saw in this lesson. Give a description of each. -
ANS-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 - ANS-symmetric property
EB bisects ∠AEC.
What statements are true regarding the given statement and diagram? - ANS-∠CED is a right
angle.
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