Unit 2 Wrap-Up

Pythagorean Theorem

Overview of the Unit

Throughout unit 2 we have been working on finding the missing side of a right triangle by using Pythagorean Theorem. Here are some things we have learned:

-How to find the hypotenuse.
-How to find a missing leg.
-Finding the distance between two points.
-Finding the diagonal of a two-dimensional figure
-Finding the area of a composite figure by first finding a side length.
-Finding the diagonal of a three-dimensional figure
-Applying Pythagorean Theorem to real life problems.

The test will take place tomorrow in class. Please come prepared to begin when the bell rings to maximize class time.

Test Hint!

Make sure you answer the question that is asked! Did they ask you to find the perimeter of the triangle after you used the Pythagorean Theorem? Or maybe they wants you to find the length of two congruent triangles (remember the badminton net problem?).

Pythagorean Pythagorean Theorem

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We use Pythagorean Theorem to find a missing side of a right triangle. If we need to find the hypotenuse we add the area of each leg together, and then take the square root of the area. However, if we need to find a leg we will subtract the area of one leg from the area of the hypotenuse.

Converse of the Pythagorean Theorem

The converse is used to determine if a given triangle is actually a right triangle. You would need to know all three sides and the longest side will be designated as c, the hypotenuse. Work both sides of the theorem to see if they are equal.
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Using Pythagorean Theorem

Distance Between Two Points

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To find the distance between two points you would need to draw in a right triangle.

You can find the lengths of the legs by counting the sides or subtracting (x2 - x1) and (y2 - y1). Be careful to pay attention to scaling of the graph if you count.

For the triangle above the legs are 3 and 4. To find the distance between the two points we'll do 32 + 42 = c2 (sorry the exponents don't look right)
9 + 16 = c2
25 = c2
5 = c

We can determine that the distance between the two points is 5 units.

Upcoming Deadlines

Unit 1
Unit 1 Test Corrections Due - Friday, Sept. 18th
Unit 1 Test Retest - last day, Thursday, Sept. 25th (during tutorials)
Corrections to Comparing Rational Numbers Homework - Friday, Sept. 18th
Corrections to Square Roots Homework - Friday, Sept 18th

Unit 2
2.1 Pythagorean Theorem Homework Corrections due Monday, Sept. 22
2.3 Pythagorean Theorem Homework Corrections due Tuesday, Sept. 23
2.4 Pythagorean Theorem Distance Between Two Points Quiz due Thursday, Sept. 25

Unit 2 Test Corrections will be due Thursday, October 2nd. (if needed).