Congruence, Similarity, and Proof

Description

Lines, Angles, and Mathematical Proofs, Proving Theorems about Lines and Angles, Proving Theorems about Triangles, Proving Theorems about Parallelograms, Properties of Dilations, Similarity and Similarity Transformations, Similarity, Proportion, and Triangle Proofs, Using Congruence and Similarity with Triangles,
Elexali Olayvar
Flashcards by Elexali Olayvar, updated more than 1 year ago
Elexali Olayvar
Created by Elexali Olayvar over 3 years ago
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Question Answer
A. Statement: ∠1 ≅ ∠8 and ∠2 ≅ ∠7 Reason: Congruent Supplements Theorem B. Statement: m∠3 + m∠4 = 180° and m∠7 + m∠8 = 180° Reason: Linear Pair Theorem C. Statement: m∠3 + m∠5 = 180° and m∠4 + m∠6 = 180° Reason: definition of supplementary angles D. Statement: ∠7 ≅ ∠6 and ∠8 ≅ ∠5 Reason: Vertical Angles Theorem B. Statement: m∠3 + m∠4 = 180° and m∠7 + m∠8 = 180° Reason: Linear Pair Theorem
VERTICAL ANGLES THEOREM BED
What is the next step in the proof? Choose the most logical approach. A. Statement: ∠6 ≅ ∠14 Reason: For parallel lines cut by a transversal, corresponding angles are congruent. B. Statement: ∠6 ≅ ∠7 Reason: Vertical Angles Theorem C. Statement: ∠6 and ∠5 are supplementary. Reason: Linear Pair Theorem D. Statement: m∠6 + m∠8 = 180° Reason: angle addition A. Statement: ∠6 ≅ ∠14 Reason: For parallel lines cut by a transversal, corresponding angles are congruent.
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What is the reason for the fourth and eighth steps in the proof? A. ASA criterion for congruent triangles B. Alternate Interior Angles Theorem C. Transitive Property of Equality D. Perpendicular Bisector Theorem D. Perpendicular Bisector Theorem
Transversal t cuts parallel lines r and s as shown in the diagram. Which theorem does the diagram illustrate? A. Alternate Interior Angles Theorem B. Alternate Exterior Angles Theorem C. Same-Side Interior Angles Theorem D. Corresponding Angles Theorem B. Alternate Exterior Angles Theorem
A. 73.98° B. 90° C. 106.02° D. 180° C. 106.02°
136
C. 180°
-0.4
30 53
C. 5.39
C. 3.4 units
2
C. A′B′ is 1.5 units long and lies on the same line as AB.
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