1 The Zilker Park Christmas Tree is 155 ft. tall and is made of 39 strands of lights that are 189 ft long. How far from the base of the tree is each strand.

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Presentation transcript:

1 The Zilker Park Christmas Tree is 155 ft. tall and is made of 39 strands of lights that are 189 ft long. How far from the base of the tree is each strand attached? A. 170 ft B. 155 ft C. 80 ft D. 24 ft 108 ft 189 ft x ft

2 Classify the triangle by its angle measures and side lengths. 30 in 42.6 in A. Right Isosceles B. Right Scalene C. Acute Isosceles D. Acute Scalene

3 Classify the triangle by its angle measures and side lengths. A. Right Isosceles B. Right Scalene C. Obtuse Isosceles D. Acute Isosceles 40 o

4 A triangular shaped patio has sides of 30 ft., 24 ft. and 20 ft. There is a rocking chair in the corner that has the largest angle. Which corner has the rocking chair? A. The corner opposite the side that is 30 ft. B. The corner opposite the side that is 24 ft. C. The corner opposite the side that is 20 ft. D. The chair is in the middle of the patio.

5 Which of the following side lengths would make a triangle with the two given sides? A. 3 in. B. 5 in. C. 8 in. D. 11 in. 19 in. 7 in.

6 Find the measure of the missing angles. 50 o 60 o aoao bobo A. a = 70 o b = 110 o B. a = 70 o b = 20 o C. a = 60 o b = 30 o D. a = 60 o b = 120 o

7 Find the side lengths of the triangle below. A. 10, 20 and 20 B. 43, 43 and 72 C. 33, 12 and 12 D. 18, 18 and o 3x - 2 2x x + 12

8 AngleJustification (Use the tool box) = _____ Find the missing angle measurement and justify your answer using the tool box. 145 o

9 Find xJustification (Use the tool box) x = _____ Find the missing angle measurement and justify your answer using the tool box. 55 o

10 135º Q R S 45º Use the diagram of a staircase railing to answer the following: Which is a true statement about the measure of angle 1? A) It equals 45º by the Same Side Interior Angles Theorem B) It equals 135º by the Alternate Interior Angles Theorem C) It equals 135º by the Corresponding Angles Postulate D) It equals 135º by the Alternate Exterior Angle Theorem 1

11 Find the value of x and measure of angle DEF. x = _______________

12 Prove the Alternate Interior Angles Theorem is true by proving that Given: Statement / ConclusionJustification (use the tool box)