Proving Lines Parallel Answers

Determine the missing reason in the fifth line of the following proof. Given: Prove: Statements Reasons 1. 1. Given 2. 2. Alternate interior angles 3. 3. Given 4. 4. Transitive property 5. 5. _______________ A. Vertical angles are congruent. B. Converse of the alternate interior angles theorem C. Corresponding angles postulate D. Converse of the corresponding angles postulate Please select the best answer from the choices provided

Analyze the diagram below and complete the instructions that follow. Given only the information in the diagram, determine if . If so, name the postulate or theorem used to support your conclusion. A. yes; converse of the consecutive interior angles theorem B. yes; converse of the alternate interior angles theorem C. yes; converse of the corresponding angles postulate D. no Please select the best answer from the choices provided

Analyze the diagram below and answer the question that follows. If and are congruent, which lines are parallel? A. lines b and c B. lines c and d C. lines a and b D. No lines are parallel. Please select the best answer from the choices provided

Analyze the diagram below and answer the question that follows. If and , what is the measure of ? A. 83° B. 90° C. 97° D. cannot be determined Please select the best answer from the choices provided

Analyze the diagram below and complete the instructions that follow. Determine which lines are parallel, given that and . A. B. C. D. Please select the best answer from the choices provided

Analyze the diagram below and answer the question that follows. Photo by Brian Moloney One way to build a staircase is to attach triangular blocks to an angled support, as shown above. If the support makes a angle with the floor, what must the measure of angle 1 be so that the steps are parallel to the floor? A. B. C. D. Please select the best answer from the choices provided

Analyze the diagram below and complete the instructions that follow. Given that line a is parallel to line b and that line c is parallel to line d, if and , find . A. B. C. D. Please select the best answer from the choices provided

Analyze the diagram below and complete the instructions that follow. Given the information in the diagram, determine if . If so, give the theorem or postulate used to support your conclusion. A. yes; converse of the consecutive interior angles theorem B. yes; converse of the alternate interior angles theorem C. yes; converse of the corresponding angles postulate D. no Please select the best answer from the choices provided