(1) FC and BE bisect each other (2) corresponding parts of congruent triangles are congruent (3) the addition property of equality (4) the whole is the sum of its parts In the diagram shown below, AD bisects ?BAC, and AB is congruent to AC. Which of the following would be used to show that ?ABD ? ?ACD? (1) S.S.S. (2) S.A.S. (3) A.S.A. (4) S.S.A. Given the two lines m and n shown below cut by a transversal and the five numbered angles shown, which of the following pieces of information would not be enough to conclude that m and n are parallel? (1) ?6 ? ?4
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A) Corresponding Angles Theorem; ∠AGF and ∠EHD are congruent B) Alternate Exterior Angles Theorem; ∠EGB and ∠EHD are congruent C) Corresponding Angles Theorem; ∠EGB and ∠EHD are congruent D) Alternate Exterior Angles Theorem; ∠AGF and ∠EHD are congruent Fill in the missing statement and reason in the proof of the Alternate Interior Angles Theorem: It is given that AB is parallel to CD and points E, G, H, and F are collinear: ∠AGF and ∠EGB are vertical and congruent by the Vertical Angles Theorem: ∠EGB and ∠EHD are congruent according to the Finally; by the Transitive Property of Equality:
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1. Name the pair of congruent sides in the figure below. A. RT = RS B. RS = ST C. No congruent sides D. RT = ST 2. Find the value of x in the figure below. A. 6 inches B. 18 inches C. 9 inches D. 12 inches 3. The vertex angle of an isosceles triangle is 50 more than twice the base angles. Find each base angle. A. The base angles are each 50 B. The base angles are each 32.5 C. The base angles are each 100 D. The base angles are each 30 4. Solve for x. A. x = 18 B. x = 4 C. x = 11 D. x = 7 Name the pair of congruent sides in the figure below. 70 R 55 RT = RS RS = ST No congruent sides RT = ST
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A. Vertical angles are congruent. B. If two lines are parallel, then alternate exterior angles are congruent. C. If two lines are parallel, then alternate interior angles are congruent. D. Corresponding angles theorem. Question 9 of 49 Multiple Choice: Please select the best answer and click "submit." What is the missing reason for the 3rd step in the proof below? Given: AB || CD Prove: ∠3 ≅ ∠6 Statement Reason 1. AB || CD 1. Given 2. ∠3 ≅ ∠7 2. Corresponding angles theorem 3. ∠7 ≅ ∠6 3. 4. m∠3 = m∠7, m∠7 = m∠6 4. Definition of congruence 5. m∠3 = m∠6 5. Substitution 6. ∠3 ≅ ∠6 6. Definition of congruence
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