Geometry 4-1 Complete Lesson: Congruent Figures

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.

Solve It! You are working on a puzzle. You've almost finished, except for a few pieces of the sky.

Match the puzzle piece numbers with the space letters to place the remaining pieces in the puzzle.

Piece 2		Space A
Piece 3		Space B
Piece 1		Space C

Take Note: Match each image with the type of movement it demonstrates.

		Flip
		Slide
		Turn

Take Note: Describe what it means for two shapes to be congruent polygons.

Take Note: Describe the process of identifying congruent corresponding parts in congruent polygons.

Problem 2 Got It? Suppose the following:
What is m∠V? Enter only a number.

Problem 3 Got It?

Explain your reasoning. You may use the canvas to help illustrate your explanation.

Problem 4 Got It? Complete the proof on the canvas. You may use any of the three styles learned: two-column, paragraph, or flow.

You may also complete your work on paper or on a whiteboard and upload a clear picture of it to the canvas.

Reasoning: If each angle in one triangle is congruent to its corresponding angle in another triangle, are the two triangles congruent? Explain. You may use the canvas to help illustrate your explanation.

Error Analysis: Walter sketched the diagram shown. He claims it shows that the two polygons are congruent. What information is missing to support his claim?

Review Lesson 3-8: Write an equation for a line perpendicular to the given line.

Review Lesson 1-7: Find the distance between the points. If necessary, round to the nearest tenth.
Enter only a number.

Vocabulary Review: Classify the figure(s) that are NOT polygons.

You may need to zoom out to see all of the items. You can also place each item from the left column by selecting it (click it) then selecting (clicking on) the category for it.

NOT polygons

Use Your Vocabulary: Categorize each statement.

A prism and its net are congruent figures.
The corresponding sides of congruent figures have the same measure.
Congruent angles have different measures.

True
False

Solve It! You are working on a puzzle. You've almost finished, except for a few pieces of the sky.

Match the puzzle piece numbers with the space letters to place the remaining pieces in the puzzle.

Take Note: Match each image with the type of movement it demonstrates.

Take Note: Describe what it means for two shapes to be congruent polygons.

Take Note: Describe the process of identifying congruent corresponding parts in congruent polygons.

Problem 1 Got It?
Select all that apply.

Problem 2 Got It? Suppose the following:
What is m∠V? Enter only a number.

Problem 3 Got It?

Explain your reasoning. You may use the canvas to help illustrate your explanation.

Take Note: Summarize The Third Angles Theorem.

Problem 4 Got It? Complete the proof on the canvas. You may use any of the three styles learned: two-column, paragraph, or flow.

You may also complete your work on paper or on a whiteboard and upload a clear picture of it to the canvas.

Reasoning: If each angle in one triangle is congruent to its corresponding angle in another triangle, are the two triangles congruent? Explain. You may use the canvas to help illustrate your explanation.

Error Analysis: Walter sketched the diagram shown. He claims it shows that the two polygons are congruent. What information is missing to support his claim?

Review Lesson 3-8: Write an equation for a line perpendicular to the given line.

Review Lesson 3-8: Write an equation for a line perpendicular to the given line.

Review Lesson 1-7: Find the distance between the points. If necessary, round to the nearest tenth.
Enter only a number.

Vocabulary Review: Classify the figure(s) that are NOT polygons.

You may need to zoom out to see all of the items. You can also place each item from the left column by selecting it (click it) then selecting (clicking on) the category for it.

Use Your Vocabulary: Categorize each statement.

Reflection: Math Success

Geometry 4-1 Complete Lesson: Congruent Figures

Solve It! You are working on a puzzle. You've almost finished, except for a few pieces of the sky. Match the puzzle piece numbers with the space letters to place the remaining pieces in the puzzle.

Take Note: Match each image with the type of movement it demonstrates.

Take Note: Describe what it means for two shapes to be congruent polygons.

Take Note: Describe the process of identifying congruent corresponding parts in congruent polygons.

Problem 1 Got It?Select all that apply.

Problem 2 Got It? Suppose the following:What is m∠V? Enter only a number.

Problem 3 Got It?

Explain your reasoning. You may use the canvas to help illustrate your explanation.

Take Note: Summarize The Third Angles Theorem.

Problem 4 Got It? Complete the proof on the canvas. You may use any of the three styles learned: two-column, paragraph, or flow.You may also complete your work on paper or on a whiteboard and upload a clear picture of it to the canvas.

Reasoning: If each angle in one triangle is congruent to its corresponding angle in another triangle, are the two triangles congruent? Explain. You may use the canvas to help illustrate your explanation.

Error Analysis: Walter sketched the diagram shown. He claims it shows that the two polygons are congruent. What information is missing to support his claim?

Review Lesson 3-8: Write an equation for a line perpendicular to the given line.

Review Lesson 3-8: Write an equation for a line perpendicular to the given line.

Review Lesson 1-7: Find the distance between the points. If necessary, round to the nearest tenth.Enter only a number.

Vocabulary Review: Classify the figure(s) that are NOT polygons.You may need to zoom out to see all of the items. You can also place each item from the left column by selecting it (click it) then selecting (clicking on) the category for it.

Use Your Vocabulary: Categorize each statement.

Reflection: Math Success

Solve It! You are working on a puzzle. You've almost finished, except for a few pieces of the sky.

Match the puzzle piece numbers with the space letters to place the remaining pieces in the puzzle.

Problem 1 Got It?
Select all that apply.

Problem 2 Got It? Suppose the following:
What is m∠V? Enter only a number.

Problem 4 Got It? Complete the proof on the canvas. You may use any of the three styles learned: two-column, paragraph, or flow.

You may also complete your work on paper or on a whiteboard and upload a clear picture of it to the canvas.

Review Lesson 1-7: Find the distance between the points. If necessary, round to the nearest tenth.
Enter only a number.

Vocabulary Review: Classify the figure(s) that are NOT polygons.

You may need to zoom out to see all of the items. You can also place each item from the left column by selecting it (click it) then selecting (clicking on) the category for it.