Geometry Proofs Logic Quiz Form
Test your understanding of geometry proofs and logical reasoning. Answer each question carefully to demonstrate your knowledge.
Select the correct statement about congruent triangles.
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If two triangles have three pairs of congruent sides, they are congruent.
If two triangles have two pairs of congruent angles, they are congruent.
If two triangles have one pair of congruent sides, they are congruent.
If two triangles have three pairs of congruent angles, they are congruent.
Which of the following can be used as valid reasons in a two-column proof? (Select all that apply)
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Definition of Midpoint
Vertical Angles Theorem
Corresponding Angles Postulate
Parallel Line Conjecture
Other
Name the property or theorem that justifies the following: If AB = CD and CD = EF, then AB = EF.
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Explain, in your own words, why the base angles of an isosceles triangle are congruent.
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Match each statement with its correct reason.
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Rows
Reason
AB = AB
Reflexive Property
Definition of Congruent Segments
Segment Addition Postulate
Vertical Angles Theorem
If XY ≅ ZW, then XY = ZW
Reflexive Property
Definition of Congruent Segments
Segment Addition Postulate
Vertical Angles Theorem
If AC = AB + BC, then AC - BC = AB
Reflexive Property
Definition of Congruent Segments
Segment Addition Postulate
Vertical Angles Theorem
∠1 and ∠2 are vertical angles, so ∠1 ≅ ∠2
Reflexive Property
Definition of Congruent Segments
Segment Addition Postulate
Vertical Angles Theorem
Order the following steps to complete the proof: Given: ∠A ≅ ∠B, AB = BC. Prove: Triangle ABC is isosceles.
Which of the following is NOT a valid method for proving two triangles are congruent?
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SSS (Side-Side-Side)
ASA (Angle-Side-Angle)
SAS (Side-Angle-Side)
SSA (Side-Side-Angle)
Provide a counterexample to show that the SSA condition does not always prove triangle congruence.
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What is the definition of a supplementary angle?
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Select all statements that are always true about parallelograms.
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Opposite sides are congruent.
Diagonals bisect each other.
All angles are right angles.
Opposite angles are congruent.
Other
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