After problem 3. 1 worksheet. Get your homework out

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Presentation transcript:

After problem 3. 1 worksheet. Get your homework out After problem 3.1 worksheet. Get your homework out. If you don’t have it get some loose leaf.

1. Use the diagram below to answer parts a-f 1. Use the diagram below to answer parts a-f. Show all work you do to find your solutions. a. What is the area of square ABCD? Show your work on the square. b. What is the length of line segment AB? Write a sentence that explains why you did the math you did. c. What is the distance from A to C ? Show all of your work. d. What is the area of triangle ABC? Explain your answer. e. Explain, in complete sentences, how the area of square ABCD compares to the area of triangle ABC. f. Explain how the perimeter of square ABCD compares to the perimeter of triangle ABC Prove your answers with math, Don't say it's half as big.

12.5 square units or half the area of the square 1. Use the diagram below to answer parts a-f. Show all of the work you did to find your solutions. a. What is the area of square ABCD? Show your work on the square. b. What is the length of line segment AB? Write a sentence that explains why you did the math you did. c. What is the distance from A to C ? Show all of your work. d. What is the area of triangle ABC? Explain your answer. e. Explain, in complete sentences, how the area of square ABCD compares to the area of triangle ABC. f. Explain how the perimeter of square ABCD compares to the perimeter of triangle ABC Prove your answers with math, Don't say it's half as big. 25 square units √ 25 or 5 units √ 50 units = 7.07 12.5 square units or half the area of the square The square’s area is twice as big as the triangle’s area. Perimeter of square 4 x5 = 20 units & Perimeter of triangle is 5 + 5+ √ 50 ≈ 17. Square is only slightly larger in perimeter.

2. This is a regular pentagon 2. This is a regular pentagon. Find the length of AB to the nearest hundredth. Show how you find the length.

Segment AB is 0.86 units long 2. This is a regular pentagon. Find the length of AB to the nearest hundredth. Show how you find the length. Notice the 0.7 line goes to a midpoint not into a vertex. That is why AB is not 0.7 But the line from B to a midpoint will be 0.7 The full edge was 1 so half of an edge will be 0.5 a2 + b2 = c2 0.52 + 0.72 = c2 .25 + .49 = c2 0.7 .74 = c2 0.5 .74 =  c2 0.86 = c Segment AB is 0.86 units long

3. Use the Pythagorean Theorem to find the length of each line segment 3. Use the Pythagorean Theorem to find the length of each line segment. Show all work you do to find your solutions. a. What is the length of segment AB? b. What is the length of segment CD?

a. What is the length of segment AB? 3. Use the Pythagorean Theorem to find the length of each line segment. Show all work you do to find your solutions. a. What is the length of segment AB? b. What is the length of segment CD? a2 + b2 = c2 62 + 82 = c2 36 + 64 = c2 100 = c2 100 =  c2 10 = c a2 + b2 = c2 32 + 52 = c2 9 + 25 = c2 34 = c2 34 =  c2 5.83 = c

4. The garden gate on the left needs help 4. The garden gate on the left needs help! The gardener wants to brace the gate by adding a diagonal strip of wood between the two horizontal strips. a. How long should the diagonal strip of wood be? (Do not worry about trimming the ends to make a perfect fit.) Show all work you do to find your solution. b. A standard tape measure is marked in feet and inches. If your answer for part a is written only in feet, rewrite it in feet and inches.

4. The garden gate on the left needs help 4. The garden gate on the left needs help! The gardener wants to brace the gate by adding a diagonal strip of wood between the two horizontal strips. a. How long should the diagonal strip of wood be? (Do not worry about trimming the ends to make a perfect fit.) Show all work you do to find your solution. b. A standard tape measure is marked in feet and inches. If your answer for part a is written only in feet, rewrite it in feet and inches. To convert 5.83 feet to feet and inches you need to multiply the .83 part by 12 since there are 12 inches in a foot. You can just keep the 5 as it is. .83 x 12 = 9.96 inches which can be rounded to 10 inches. Your final answer is about 5 feet 10 inches a2 + b2 = c2 32 + 52 = c2 9 + 25 = c2 34 = c2 34 =  c2 5.83 = c

Are there any questions Are there any questions? Make sure you are showing your work the correct way.