Geometry 10-1 Complete Lesson: Areas of Parallelograms and Triangles
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Last updated over 3 years ago
30 questions
Note from the author:
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.
10
Solve It! A stage is being set up for a concert at the arena. The stage is made up of blocks with tops that are congruent right triangles. The tops of the blocks, when put together, make an 8 ft-by-8 ft square. The band has requested that the stage be arranged to form the shape of an arrow. Draw a diagram that shows how the stage could be laid out in the shape of an arrow with an area of at least 1000 ft² but no more than 1400 ft². (You may use more blocks than shown in the picture.)
Solve It! A stage is being set up for a concert at the arena. The stage is made up of blocks with tops that are congruent right triangles. The tops of the blocks, when put together, make an 8 ft-by-8 ft square. The band has requested that the stage be arranged to form the shape of an arrow. Draw a diagram that shows how the stage could be laid out in the shape of an arrow with an area of at least 1000 ft² but no more than 1400 ft². (You may use more blocks than shown in the picture.)
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Problem 1 Got It?
Problem 1 Got It?
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Problem 2 Got It?
Problem 2 Got It?
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Problem 3 Got It?
Problem 3 Got It?
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Problem 4 Got It?
Problem 4 Got It?
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Writitng: How can you show that a parallelogram and a rectangle with the same bases and heights have equal areas?
Writitng: How can you show that a parallelogram and a rectangle with the same bases and heights have equal areas?
10
Analysis: ▱ABCD is divided into two triangles along diagonal AC. If you know the area of the parallelogram, how do you find the area of △ABC?
Analysis: ▱ABCD is divided into two triangles along diagonal AC. If you know the area of the parallelogram, how do you find the area of △ABC?
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Review Lesson 9-7: Are the figures similar? If so, describe the similarity transformation.
Review Lesson 9-7: Are the figures similar? If so, describe the similarity transformation.
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Review Lesson 9-7: Are the figures similar? If so, describe the similarity transformation.
Review Lesson 9-7: Are the figures similar? If so, describe the similarity transformation.
5
Review Lesson 10-1: Write the formula for the area of a rectangle.
Review Lesson 10-1: Write the formula for the area of a rectangle.
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Review Lesson 10-1: Write the formula for the area of a triangle.
Review Lesson 10-1: Write the formula for the area of a triangle.
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∠APE
∠APE
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∠APN
∠APN
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∠PAN
∠PAN
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∠PNA
∠PNA
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∠EPN
∠EPN
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∠ANT
∠ANT
10
Review Lesson 10-1: Find the area of the trapezoid by using the formulas for area of a rectangle and area of a triangle. Enter your response in this format: 23.5 square units
Review Lesson 10-1: Find the area of the trapezoid by using the formulas for area of a rectangle and area of a triangle. Enter your response in this format: 23.5 square units
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Review Lesson 10-1: Find the area of the trapezoid by using the formulas for area of a rectangle and area of a triangle. Enter your response in this format: 23.5 square units
Review Lesson 10-1: Find the area of the trapezoid by using the formulas for area of a rectangle and area of a triangle. Enter your response in this format: 23.5 square units
10
Review Lesson 10-1: Find the area of the trapezoid by using the formulas for area of a rectangle and area of a triangle. Enter your response in this format: 23.5 square units
Review Lesson 10-1: Find the area of the trapezoid by using the formulas for area of a rectangle and area of a triangle. Enter your response in this format: 23.5 square units
10
Vocabulary Review: Complete each sentence. Use each word only once.
Vocabulary Review: Complete each sentence. Use each word only once.
- parallel
- quadrilateral
- rectangles
- All parallelograms are __?__.
- All parallelograms have opposite sides __?__.
- Some parallelograms are __?__.
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Enter only a number. Use decimal form if necessary.
Enter only a number. Use decimal form if necessary.
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Enter only a number. Use decimal form if necessary.
Enter only a number. Use decimal form if necessary.
5
Enter only a number. Use decimal form if necessary.
Enter only a number. Use decimal form if necessary.
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Reflection: Math Success
Reflection: Math Success