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Analyze Math Relationships To make a puzzle, Denzel draws lines a and b to cut along on a square piece of...
21. Analyze Math Relationships To make a puzzle, Denzel draws lines a and b to cut along on a square piece of posterboard. He wants to draw line c so that it is parallel to line b. What should the measure of angle 2 be? Explain.
22. Communicate Reasoning A downhill skier is fastest when her skis are parallel. What should angle 1 be in order for the skier to maximize her speed through a gate? Which theorem justifies your answer?
23. Explain Math Ideas Malia makes a fabric design by drawing diagonals between opposite corners. She wants to draw other lines parallel to the diagonal lines, as shown by the dashed lines.
a. What should angle 2 be in order for line to be parallel to line 7? Explain.
b. What should angle 2 be in order for line to be parallel to line 7? Explain.
24. In order for (1) c || d, 2 and 7 must be ? and 3 and 5 must be ?
25. Which statement must always be true?
If ∠1 ≅ ∠2, then g || h.
If ∠3 ≅ ∠6, then g || h.
If ∠4 ≅ ∠5, then g || h.
If ∠2 ≅ ∠3, then g || h.
22. Communicate Reasoning A downhill skier is fastest when her skis are parallel. What should angle 1 be in order for the skier to maximize her speed through a gate? Which theorem justifies your answer?
23. Explain Math Ideas Malia makes a fabric design by drawing diagonals between opposite corners. She wants to draw other lines parallel to the diagonal lines, as shown by the dashed lines.
a. What should angle 2 be in order for line to be parallel to line 7? Explain.
b. What should angle 2 be in order for line to be parallel to line 7? Explain.
24. In order for (1) c || d, 2 and 7 must be ? and 3 and 5 must be ?
25. Which statement must always be true?
If ∠1 ≅ ∠2, then g || h.
If ∠3 ≅ ∠6, then g || h.
If ∠4 ≅ ∠5, then g || h.
If ∠2 ≅ ∠3, then g || h.