math transversals and triangles

Anonymous
timer Asked: Jan 21st, 2021

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I'm working on a mathematics test / quiz prep and need support to help me study.

Hi can somone please help me on this unit test study guide I need the answers for them to study

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Unit 6 Test Name: Save a copy of this assessment to your computer and complete in a method that works best for you (hand written, computer written, and typed). Your score is based on the highest level of mastery you can demonstrate. Level 1: I can apply properties of parallel lines and triangles. Correct answers on Level 1 will earn you a score of 60%. 1. Match each image with the correct property: a. Alternate Interior Angle Property d. b. Alternate Exterior Angle Property e. c. Corresponding Angle Property f. 2. The given triangle is isosceles. Use this, and the triangle sum theorem, to find the value of x. Level 2: I can apply the converse of parallel line properties, isosceles triangle properties, and the triangle midsegment theorem to solve problems. Correct answers on Level 2 will earn you a score of 75%. 3. Find the length of Μ…Μ…Μ…Μ… 𝑩π‘ͺ on triangle 𝐴𝐡𝐢. 3π‘₯ βˆ’ 5 2π‘₯ βˆ’2π‘₯ + 15 4. What value of π‘₯ would make Μ…Μ…Μ…Μ… 𝐴𝐡 βˆ₯ Μ…Μ…Μ…Μ… 𝐢𝐷? Which property is utilized in this proof? 2π‘₯ 4π‘₯ βˆ’ 44 Μ…Μ…Μ…Μ… ? 5. Given that Μ…Μ…Μ…Μ… 𝐷𝐸 is a midsegment for Δ𝐴𝐡𝐢 and the length of Μ…Μ…Μ…Μ… 𝐷𝐸 is 8 units. What is the length of 𝐡𝐢 Level 3: I can combine the pro Correct answers on Level 3 will earn you a score of 90% The triangle Δ𝐴𝐡𝐢 is isosceles, where Μ…Μ…Μ…Μ… 𝐴𝐡 β‰… Μ…Μ…Μ…Μ… 𝐴𝐢 . The segments Μ…Μ…Μ…Μ… 𝐷𝐸 , Μ…Μ…Μ…Μ… 𝐸𝐹 , & Μ…Μ…Μ…Μ… 𝐷𝐹 are all midsegments. The length Μ…Μ…Μ…Μ… of 𝐡𝐷 is 4 units and ∠𝐴𝐡𝐢 is 75Β°. 6. What is the length of Μ…Μ…Μ…Μ… 𝐴𝐢 ? 7. What is the measure of ∠𝐡𝐴𝐢? πŸ’ πŸ•πŸ“Β° 8. What is the measure of ∠𝐴𝐷𝐸? Level 4: I can solve series that are new, unique or different. A correct answer on Level 4 will earn you a score of 100% if Level 3 is correct. Μ…Μ…Μ…Μ… is 6 units. The length of 𝐴𝐢 Μ…Μ…Μ…Μ… 9. Δ𝐴𝐡𝐷 is a right triangle. Μ…Μ…Μ…Μ… 𝐸𝐢 is a midsegment of Δ𝐴𝐡𝐷. The length of 𝐡𝐷 Μ…Μ…Μ…Μ… is 4 units. What is the length of 𝐸𝐢 ? Hint: This problem can only be solved because π›₯𝐴𝐡𝐷 is a right triangle. Unit 6 Test Name: Save a copy of this assessment to your computer and complete in a method that works best for you (hand written, computer written, and typed). Your score is based on the highest level of mastery you can demonstrate. Level 1: I can apply properties of parallel lines and triangles. Correct answers on Level 1 will earn you a score of 60%. 1. Match each image with the correct property: a. Alternate Interior Angle Property d. b. Alternate Exterior Angle Property e. c. Corresponding Angle Property f. 2. The given triangle is isosceles. Use this, and the triangle sum theorem, to find the value of x. Level 2: I can apply the converse of parallel line properties, isosceles triangle properties, and the triangle midsegment theorem to solve problems. Correct answers on Level 2 will earn you a score of 75%. 3. Find the length of Μ…Μ…Μ…Μ… 𝑩π‘ͺ on triangle 𝐴𝐡𝐢. 3π‘₯ βˆ’ 5 2π‘₯ βˆ’2π‘₯ + 15 4. What value of π‘₯ would make Μ…Μ…Μ…Μ… 𝐴𝐡 βˆ₯ Μ…Μ…Μ…Μ… 𝐢𝐷? Which property is utilized in this proof? 2π‘₯ 4π‘₯ βˆ’ 44 Μ…Μ…Μ…Μ… ? 5. Given that Μ…Μ…Μ…Μ… 𝐷𝐸 is a midsegment for Δ𝐴𝐡𝐢 and the length of Μ…Μ…Μ…Μ… 𝐷𝐸 is 8 units. What is the length of 𝐡𝐢 Level 3: I can combine the pro Correct answers on Level 3 will earn you a score of 90% The triangle Δ𝐴𝐡𝐢 is isosceles, where Μ…Μ…Μ…Μ… 𝐴𝐡 β‰… Μ…Μ…Μ…Μ… 𝐴𝐢 . The segments Μ…Μ…Μ…Μ… 𝐷𝐸 , Μ…Μ…Μ…Μ… 𝐸𝐹 , & Μ…Μ…Μ…Μ… 𝐷𝐹 are all midsegments. The length Μ…Μ…Μ…Μ… of 𝐡𝐷 is 4 units and ∠𝐴𝐡𝐢 is 75Β°. 6. What is the length of Μ…Μ…Μ…Μ… 𝐴𝐢 ? 7. What is the measure of ∠𝐡𝐴𝐢? πŸ’ πŸ•πŸ“Β° 8. What is the measure of ∠𝐴𝐷𝐸? Level 4: I can solve series that are new, unique or different. A correct answer on Level 4 will earn you a score of 100% if Level 3 is correct. Μ…Μ…Μ…Μ… is 6 units. The length of 𝐴𝐢 Μ…Μ…Μ…Μ… 9. Δ𝐴𝐡𝐷 is a right triangle. Μ…Μ…Μ…Μ… 𝐸𝐢 is a midsegment of Δ𝐴𝐡𝐷. The length of 𝐡𝐷 Μ…Μ…Μ…Μ… is 4 units. What is the length of 𝐸𝐢 ? Hint: This problem can only be solved because π›₯𝐴𝐡𝐷 is a right triangle. ...
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