Geometry 8-1 Complete Lesson: The Pythagorean Theorem and Its Converse

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A complete formative lesson with embedded slideshow, mini lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU.

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Geometry 8-1 Complete Lesson: The Pythagorean Theorem and Its Converse

Geometry 8-1 Complete Lesson: The Pythagorean Theorem and Its Converse

Solve It! The squares below fit into groups of three to satisfy the following equation:area of square 1 + area of square 2 = area of square 3Write one of these equations.

Problem 1 Got It? The legs of a right triangle have lengths 10 and 24. What is the length of the hypotenuse? Enter only a number.

Problem 1 Got It? Do the side lengths in the previous item form a Pythagorean triple? Explain.

Problem 2 Got It?

Problem 3 Got It?

Problem 4 Got It? A triangle has side lengths 16, 48, and 50. Is the triangle a right triangle? Explain.

Problem 5 Got It?

Error Analysis: A triangle has side lengths 16, 34, and 30. Your friend says it is not a right triangle. Look at your friend's work and describe the error.

Review Lesson 7-5: △ABC has side lengths AB = 8, BC = 9, and AC = 10. 1. Sketch △ABC. Label the vertices and side lengths. 2. Sketch the bisector of ∠A.3. Find and label the lengths of the segments formed on segment BC by the bisector of ∠A.

Preview Lesson 8-2: Simplify the expression.

Preview Lesson 8-2: Simplify the expression.

Preview Lesson 8-2: Simplify the expression.

Enter only a number.

Enter only a number.

Enter only a number.

Enter only a number.

Use Your Vocabulary: The hypotenuse is the longest side in a right triangle.

Use Your Vocabulary: Classify each statement as True or False.

Use Your Vocabulary: Classify each statement as True or False.

Reflection: Math Success

Solve It! The squares below fit into groups of three to satisfy the following equation:area of square 1 + area of square 2 = area of square 3Write one of these equations.

Problem 1 Got It? The legs of a right triangle have lengths 10 and 24. What is the length of the hypotenuse? Enter only a number.

Problem 1 Got It? Do the side lengths in the previous item form a Pythagorean triple? Explain.

Problem 2 Got It?

Problem 3 Got It?

Problem 4 Got It? A triangle has side lengths 16, 48, and 50. Is the triangle a right triangle? Explain.

Problem 5 Got It?

Error Analysis: A triangle has side lengths 16, 34, and 30. Your friend says it is not a right triangle. Look at your friend's work and describe the error.

Review Lesson 7-5: △ABC has side lengths AB = 8, BC = 9, and AC = 10. 1. Sketch △ABC. Label the vertices and side lengths. 2. Sketch the bisector of ∠A.3. Find and label the lengths of the segments formed on segment BC by the bisector of ∠A.

Preview Lesson 8-2: Simplify the expression.

Preview Lesson 8-2: Simplify the expression.

Preview Lesson 8-2: Simplify the expression.

Enter only a number.

Enter only a number.

Enter only a number.

Enter only a number.

Use Your Vocabulary: The hypotenuse is the longest side in a right triangle.

Use Your Vocabulary: Classify each statement as True or False.

Use Your Vocabulary: Classify each statement as True or False.

Reflection: Math Success

Solve It! The squares below fit into groups of three to satisfy the following equation:
area of square 1 + area of square 2 = area of square 3
Write one of these equations.

Review Lesson 7-5: △ABC has side lengths AB = 8, BC = 9, and AC = 10.
1. Sketch △ABC. Label the vertices and side lengths.
2. Sketch the bisector of ∠A.
3. Find and label the lengths of the segments formed on segment BC by the bisector of ∠A.

Solve It! The squares below fit into groups of three to satisfy the following equation:
area of square 1 + area of square 2 = area of square 3
Write one of these equations.

Review Lesson 7-5: △ABC has side lengths AB = 8, BC = 9, and AC = 10.
1. Sketch △ABC. Label the vertices and side lengths.
2. Sketch the bisector of ∠A.
3. Find and label the lengths of the segments formed on segment BC by the bisector of ∠A.