Fichas
Congruence, Similarity, and Proof
Fichas del conjunto (16)
- 1A. 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 TheoremB.
Statement: m∠3 + m∠4 = 180° and m∠7 + m∠8 = 180°
Reason: Linear Pair Theorem - 2—VERTICAL ANGLES THEOREM
BED
- 3What 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 additionA.
Statement: ∠6 ≅ ∠14
Reason: For parallel lines cut by a transversal, corresponding angles are congruent.
- 4—7
- 5What 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 TheoremD.
Perpendicular Bisector Theorem
- 6Transversal 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 TheoremB.
Alternate Exterior Angles Theorem
- 7A. 73.98° B. 90° C. 106.02° D. 180°C.
106.02°
- 8—136
- 9—C.
180°
- 10—-0.4
- 11—
- 12—30
53
- 13—C.
5.39
- 14—C.
3.4 units
- 15—2
- 16—C.
A′B′ is 1.5 units long and lies on the same line as AB.
Información
- Descripción
- 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,
- Creado por
- Elexali Olayvar · dic 2020
- Actualizado
- 14 dic 2020
- Visitas
- 460
- Valoración