2/24 geometry bell ringer are these triangles similar. why or why not? 2 Δs are ~. find homework:...
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2/24 Geometry Bell Ringer
Are these triangles similar. Why or why not?
2 Δs are ~. Find RSTm
Homework: Identifying parts of right triangles HW
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2/24 News and Notes
• Tests back on Monday.• Binders not graded yet! Put ‘em back today!• Perfection from Tuesday: 7th Pd• What happens today?
– Today we will start our next unit on Pythagorean Theorem, Distance and Midpoint Formulas!
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1st 2nd 4th 7th 8th
Perfection Competition Daily Results
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Need Tests
• 1st: Keoni, Mari, Tracia, Brishanika
• 7th: Raven
• 8th: Desirae, Cristian, Angela
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Take 3 minutes to draw a picture and solve one of the following:
• Television sets are generally measured diagonally, thus classifying them as 13 inches, 27 inches, 36 inches, and so forth. Suppose we want to purchase an entertainment center, but it only holds enough room in it’s cubicle for a 27 inch TV set. We initially know that the length of our TV is 15 inches, and the height of our TV is 12 inches. Will our TV be able to fit into the cubicle?
• April and Brittany are outside on the corner of 79th and Pulaski after school. They each get on a different bus. April’s bus travels 3 miles east down 79th St. and Brittany’s travels 4 miles south down Pulaski. How far away are they from each other?
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2 pictures
15 inches
12 in???
79th & Pulaski3 mi
4 mi???
How do we solve these types of problems?
PYTHAGOREAN THEOREM!
What types of triangles do we have to have?
RIGHT TRIANGLES!
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So for today…
• We will identify the parts of a right triangle.
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Key Vocab
Hypotenuse
Side across from right angle. We call this ‘c’
Legs
2 sides that create the right angle.
Shortest = a
Longest = b
Hyp = c
a
b
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How do you know which is a and which is b if you don’t know the
side measurements?• Think – Pair – Share
• Step 1: Find missing angle
• Step 2: Explain how you know a, b, and c
• Step 3: Pair up and share your answers, then we’ll talk as a class.
• Step 4: Class Discussion
40°
x°
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Conclusions
• 90 + 40 + x = 180• 130 + x = 180• X = 50°
• How do you know a, b, and c?– Smallest side (a) across from smallest
angle– Middle side (b) across from middle angle– Longest side (c) across from largest angle
(right angle)
40°
50°
a
b
c
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Independent Practice
• If you finish early create your own problem that will eventually require the Pythagorean Theorem to solve. These will be used sporadically throughout the unit if they’re good!
• PUT BINDERS BACK ON SHELF!!!