Logic Statements and Proofs in Geometry
Authored by Anthony Clark
Mathematics
10th Grade
CCSS covered
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15 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the contrapositive of this statement?
If a polygon is a trapezoid, then it is a quadrilateral.
If a polygon is not a quadrilateral, then it is not a trapezoid.
If a polygon is not a trapezoid, then it is not a quadrilateral.
A rectangle is also a quadrilateral.
Tags
CCSS.HSG.CO.B.7
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What type of reasoning do we use when we write proofs?
Inductive Reasoning
Deductive Reasoning
The Law of Syllogism
The Law of Detachment
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is a counterexample of this statement?
If a polygon is a trapezoid, then it is a quadrilateral.
If a polygon is not a quadrilateral, then it is not a trapezoid.
If a polygon is not a trapezoid, then it is not a quadrilateral.
A rectangle is also a quadrilateral.
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the term for a statement that is accepted as true without proof in geometry?
Theorem
Postulate
Corollary
Hypothesis
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which of the following is a logical argument used to prove geometric theorems?
Inductive reasoning
Deductive reasoning
Intuitive reasoning
Empirical reasoning
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which of the following statements is true about parallel lines?
They intersect at one point.
They never intersect.
They intersect at two points.
They are always perpendicular.
Tags
CCSS.HSG.CO.A.1
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Given: ∠1 and ∠3 are vertical angles. What should you conclude by the vertical angles theorem?
undefined andundefined are right angles.
Tags
CCSS.7.G.B.5
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