HW #24 - Wayground - Proofs
Authored by Cherese Fussner
Mathematics
9th - 12th Grade
CCSS covered
Used 7+ times
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42 questions
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1.
FILL IN THE BLANK QUESTION
2 mins • 1 pt
Given: m∠AEB = 45° ∠AEC is a right angle.
Prove: EB bisects ∠AEC. Fill in the blank with the accurate property.
We are given that m∠AEB = 45° and ∠AEC is a right angle. The measure of ∠AEC is 90° by the definition of a right angle. Applying the (a) gives m∠AEB + m∠BEC = m∠AEC. Applying the substitution property gives 45° + m∠BEC = 90°. The subtraction property can be used to find m∠BEC = 45°, so ∠BEC ≅ ∠AEB because they have the same measure. Since divides ∠AEC into two congruent angles, it is the angle bisector.
Tags
CCSS.8.G.A.5
2.
MULTIPLE SELECT QUESTION
2 mins • 1 pt
Which are correct statements regarding proofs? Select three options.
In a paragraph proof, statements and their justifications are written in sentences in a logical order.
A two-column proof consists of a list statements and the reasons the statements are true.
A flowchart proof gives a visual representation of the sequence of steps without justifications.
A flowchart proof is a visual way of describing the statements and reasons for a proof.
A two-column proof lists only the given information and what is to be proven.
Tags
CCSS.HSG.CO.C.11
3.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
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.
4.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
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.
5.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Which statement is true about the diagram?
∠DEF is a right angle.
m∠DEA = m∠FEC
∠BEA ≅ ∠BEC
EB bisects ∠AEF.
Tags
CCSS.7.G.B.5
6.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
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
Tags
CCSS.HSG.CO.C.10
7.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
The last line of a proof represents
the given information.
the argument.
the conclusion.
the assumptions.
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