Geometry 9-1 Complete Lesson: Translations

Last updated over 3 years ago

29 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.

Solve It! Suppose you write the letters shown below on squares of tracing paper, so their shapes are visible from both sides.

Solve It! How can you move the squares from HUM to get ICE?

Solve It! How can you move the squares from bob to get pod?

Vocabulary: Compare and contrast the geometric definition of transformation with its everyday English definition.

Problem 1 Got It? Does the transformation appear to be a rigid motion? Explain.

Problem 2 Got It?

Problem 4 Got It?

Problem 5 Got It?

Graphing: Copy ▱NILE to the coordinate plane in black then graph its translation in blue or green.
Label vertices and include all relevant graph detail.

Vocabulary: What is true about a transformation that is not a rigid motion? Include a sketch of an example.

Error Analysis: Your friend says the transformation △ABC →△PQR is a translation. Explain and correct her error.

Reasoning: Write the translation as composition of a horizontal translation and a vertical translation.

Review Lesson 8-1: Navigation: An airplane landed at a point 100 km east and 420 km south from where it took off. If the airplane flew in a straight line from where it took off to where it lands, how many kilometers did it fly? Enter only the number rounded to the nearest kilometer.

Review Lesson 4-7: Proof: Complete the proof on the canvas.

Review Lesson 3-8: The equations on the left go through a specific point A and are perpendicular to a specific line. Match each equation with its point A and equation of a perpendicular line on the right.

x = -1
y = -2
y = -x + 1

A(1, -2); x = -2
A(-1, -1); y = 1
A(-1, 2); y = x

Vocabulary Review: Fill in the blanks to complete the sentence:

If two triangles are congruent, corresponding angle measures are the same/different and corresponding side lengths are the same/different.

Respond with yes or no.

Enter only a number to represent the distance.

Key Concept: Translation: Complete each sentence with the correct word from the left column.

some
all
change
preserve

Translations move __?__ points in a figure the same distance, in the same direction.
Translations __?__ side lengths of the figure.
Translations __?__ angle measures of the figure.

Geometry 9-1 Complete Lesson: Translations

Solve It! How can you move the squares from HUM to get ICE?

Solve It! How can you move the squares from bob to get pod?

Vocabulary: Compare and contrast the geometric definition of transformation with its everyday English definition.

Problem 1 Got It? Does the transformation appear to be a rigid motion? Explain.

Problem 1 Got It? Does the transformation appear to be a rigid motion? Explain.

Problem 2 Got It?

Problem 2 Got It?

Problem 3 Got It? What are the vertices of the transformation?
Select all that apply.

Problem 3 Got It?
1. Copy △ABC onto the canvas in black.
2. Perform the translation below and graph the post-translation image in blue or green.
3. Draw these segments in red.

Problem 3 Got It? Reasoning: Consider the segments you drew in step 3 of the previous item. What relationships exist among these three segments? Select all that apply.

Problem 4 Got It?

Problem 5 Got It?

Graphing: Copy ▱NILE to the coordinate plane in black then graph its translation in blue or green.
Label vertices and include all relevant graph detail.

Vocabulary: What is true about a transformation that is not a rigid motion? Include a sketch of an example.

Error Analysis: Your friend says the transformation △ABC →△PQR is a translation. Explain and correct her error.

Reasoning: Write the translation as composition of a horizontal translation and a vertical translation.

Review Lesson 8-1: Navigation: An airplane landed at a point 100 km east and 420 km south from where it took off. If the airplane flew in a straight line from where it took off to where it lands, how many kilometers did it fly? Enter only the number rounded to the nearest kilometer.

Review Lesson 4-7: Proof: Complete the proof on the canvas.

Review Lesson 3-8: The equations on the left go through a specific point A and are perpendicular to a specific line. Match each equation with its point A and equation of a perpendicular line on the right.

Vocabulary Review: Fill in the blanks to complete the sentence:

If two triangles are congruent, corresponding angle measures are the same/different and corresponding side lengths are the same/different.

Respond with yes or no.

Respond with yes or no.

Enter only a number to represent the distance.

Key Concept: Translation: Complete each sentence with the correct word from the left column.

Reflection: Math success

Geometry 9-1 Complete Lesson: Translations

Solve It! How can you move the squares from HUM to get ICE?

Solve It! How can you move the squares from bob to get pod?

Vocabulary: Compare and contrast the geometric definition of transformation with its everyday English definition.

Problem 1 Got It? Does the transformation appear to be a rigid motion? Explain.

Problem 1 Got It? Does the transformation appear to be a rigid motion? Explain.

Problem 2 Got It?

Problem 2 Got It?

Problem 3 Got It? What are the vertices of the transformation? Select all that apply.

Problem 3 Got It? 1. Copy △ABC onto the canvas in black. 2. Perform the translation below and graph the post-translation image in blue or green. 3. Draw these segments in red.

Problem 3 Got It? Reasoning: Consider the segments you drew in step 3 of the previous item. What relationships exist among these three segments? Select all that apply.

Problem 4 Got It?

Problem 5 Got It?

Graphing: Copy ▱NILE to the coordinate plane in black then graph its translation in blue or green.Label vertices and include all relevant graph detail.

Vocabulary: What is true about a transformation that is not a rigid motion? Include a sketch of an example.

Error Analysis: Your friend says the transformation △ABC →△PQR is a translation. Explain and correct her error.

Reasoning: Write the translation as composition of a horizontal translation and a vertical translation.

Review Lesson 8-1: Navigation: An airplane landed at a point 100 km east and 420 km south from where it took off. If the airplane flew in a straight line from where it took off to where it lands, how many kilometers did it fly? Enter only the number rounded to the nearest kilometer.

Review Lesson 4-7: Proof: Complete the proof on the canvas.

Review Lesson 3-8: The equations on the left go through a specific point A and are perpendicular to a specific line. Match each equation with its point A and equation of a perpendicular line on the right.

Vocabulary Review: Fill in the blanks to complete the sentence:If two triangles are congruent, corresponding angle measures are the same/different and corresponding side lengths are the same/different.

Respond with yes or no.

Respond with yes or no.

Enter only a number to represent the distance.

Key Concept: Translation: Complete each sentence with the correct word from the left column.

Reflection: Math success

Problem 3 Got It? What are the vertices of the transformation?
Select all that apply.

Problem 3 Got It?
1. Copy △ABC onto the canvas in black.
2. Perform the translation below and graph the post-translation image in blue or green.
3. Draw these segments in red.

Graphing: Copy ▱NILE to the coordinate plane in black then graph its translation in blue or green.
Label vertices and include all relevant graph detail.

Vocabulary Review: Fill in the blanks to complete the sentence:

If two triangles are congruent, corresponding angle measures are the same/different and corresponding side lengths are the same/different.