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Transcript

Geometry Online! Name __________________________________________ PRACTICE – Lines – G.2c Date _________Period _____ Use the figure below for questions 1 and 2. The picture shows a top view of a section of a tennis court. The vertical line in this court is perpendicular do the other two horizontal lines. 1. A contractor wants to ensure that the horizontal lines on the court are parallel to each other, and checks that ∠1 measures 90º. Which postulate or theorem does this rely on? Choose the best answer. A. Corresponding Angles Postulate B. Consecutive Interior Angles Theorem C. Alternate Exterior Angles Theorem D. Alternate Interior Angles Theorem 2. A contractor wants to ensure that the horizontal lines on the court are parallel to each other, and checks that ∠2 measures 90º. Which postulate or theorem does this rely on? Choose the best answer. A. Corresponding Angles Postulate B. Consecutive Interior Angles Theorem C. Alternate Exterior Angles Theorem D. Alternate Interior Angles Theorem 3. This diagram shows a table being constructed. If the leg piece forms a 70º angle with the top of the table, what must be the value of 𝑥 so that the top of the table is parallel to the floor? Answer: __________ 1 Geometry Online! Name __________________________________________ PRACTICE – Lines – G.2c Date _________Period _____ 4. This drawing shows an apparatus designed to divert light rays around an obstacle. Lines 𝑎 and 𝑏 are parallel and angles 2 and 4 each measure 32º. If lines 𝑙 and 𝑚 need to be parallel, what must be the value of 𝑥? Answer:_______ 5. The diagram below shows how a periscope works. If two mirrors are parallel and ∠1 ≅ ∠3, what is the m∠6 when m∠2 = 90º? Answer: _________ 6. George used a decorative fencing to enclose his deck. Using the information on the diagram and assuming the top and bottom are parallel, the measure of ∠x is _________. 7. A construction engineer need to make sure a ceiling beam is parallel to its corresponding floor beam. Using the drawing as a guide, which part of the measurements is sufficient to show the beams are parallel? A. B. C. D. x=z y=w x=y y=z 2 Geometry Online! Name __________________________________________ PRACTICE – Lines – G.2c Date _________Period _____ Use the figure below for questions 8 and 9. In the figure, runway 3 crosses runway 1 and 2 and acts as a transversal. a. b. c. d. e. 8. Which pair of angles formed be the runways must be congruent? A. ∠2 and∠4 B. ∠1 and ∠2 C. ∠2 and ∠8 D. ∠5 and ∠6 9. If runway 1 and 2 are to be parallel, what must be true by the Corresponding Angles Postulate? A. B. C. D. ∠4 ≅ ∠8 ∠1 ≅ ∠7 ∠2 and ∠7 are supplementary. ∠1 and ∠8 are supplementary. Use the figure below for questions 10 and 11. The railroad track represents a transversal to the lines that represent the sidewalks of Pine Street. The sidewalks are parallel. 10. Which statement is justified by the Alternate Exterior Angles Theorem? A. ∠3 ≅ ∠5 B. ∠2 ≅ ∠8 C. ∠1 and ∠8 are supplementary. D. ∠4 and ∠5 are supplementary. 11. Which of the following statements is correct? A. ∠1 and ∠6 are complementary. B. ∠1 and ∠6 are supplementary. C. ∠1 and ∠6 are congruent. D. ∠1 and ∠6 are similar. 12. A wooden gate has Z-shaped boards for supports, as shown. Which of the following statements is true? A. B. C. D. m∠1 + m∠2 =180º m∠1 + m∠2 =90º m∠1 + m∠2 = 2(m∠2) m∠2 – m∠1 = 2(m∠1) 3