Geometry 9-5 Complete Lesson: Congruence Transformations
By Matthew Richardson
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Last updated over 3 years ago
20 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 that you want to create two identical wings for a model airplane. You draw one wing on a large sheet of tracing paper, fold it along the dashed line, and then tract the first wing. How do you know that the two wings are identical?
Solve It! Suppose that you want to create two identical wings for a model airplane. You draw one wing on a large sheet of tracing paper, fold it along the dashed line, and then tract the first wing. How do you know that the two wings are identical?
Problem 1 Got It?
Problem 1 Got It?
Problem 2 Got It? Match congruent pairs of figures from the grid.
Problem 2 Got It? Match congruent pairs of figures from the grid.
- ABCD
- UVW
- JKHI
- MNQ
Problem 2 Got It? What is a sequence of rigid motions that maps ABCD to JKHI? Write your response using either sentences or transformation notation.
Problem 2 Got It? What is a sequence of rigid motions that maps ABCD to JKHI? Write your response using either sentences or transformation notation.
Problem 2 Got It? What is a sequence of rigid motions that maps MNQ to UVW? Write your response using either sentences or transformation notation.
Problem 2 Got It? What is a sequence of rigid motions that maps MNQ to UVW? Write your response using either sentences or transformation notation.
Problem 3 Got It?
Problem 3 Got It?
Problem 4 Got It? Complete a proof to verify the SSS postulate on the canvas.
Problem 4 Got It? Complete a proof to verify the SSS postulate on the canvas.
Problem 5 Got It? Are the figures congruent?
Problem 5 Got It? Are the figures congruent?
Reasoning: How can the definition of congruence in terms of rigid motions be more useful than a definition of congruence that relies on corresponding angles and sides?
Reasoning: How can the definition of congruence in terms of rigid motions be more useful than a definition of congruence that relies on corresponding angles and sides?
Reasoning: Is a composition of a rotation followed by a glide reflection a congruence transformation? Explain.
Reasoning: Is a composition of a rotation followed by a glide reflection a congruence transformation? Explain.
Open-Ended: What is an example of a board game in which a piece is moved using a congruence transformation? Describe the congruence transformation in the context of the game.
Open-Ended: What is an example of a board game in which a piece is moved using a congruence transformation? Describe the congruence transformation in the context of the game.
Review Lesson 9-4: A triangle has vertices A(3, 2), B(4, 1), and C(4, 3). Find the coordinates of the images of A, B, and C for a glide reflection with translation (x, y) → (x, y + 1) and reflection line x = 0.
Review Lesson 9-4: A triangle has vertices A(3, 2), B(4, 1), and C(4, 3). Find the coordinates of the images of A, B, and C for a glide reflection with translation (x, y) → (x, y + 1) and reflection line x = 0.
- (3, 3)
- (-4, 4)
- (4, -2)
- (-3, 3)
- (-4, 2)
- (-4, 3)
- A'
- B'
- C'
Review Lesson 5-6: The lengths of two sides of a triangle are given in the column on the right. Identify the range of possible lengths of the third side of each triangle.
Review Lesson 5-6: The lengths of two sides of a triangle are given in the column on the right. Identify the range of possible lengths of the third side of each triangle.
- 3.5 < x <12.5
- 10 < x < 42
- 0 < x < 18
- 1 < x < 40
- 16, 26
- 19.5, 20.5
- 9, 9
- 4.5, 8
Review Lesson 7-2: Determine the scale drawing dimensions of the room using a scale of ¼ in. = 1 ft.
kitchen: 12 ft by 16 ft
Review Lesson 7-2: Determine the scale drawing dimensions of the room using a scale of ¼ in. = 1 ft.
kitchen: 12 ft by 16 ft
Vocabulary Review: △ABC ≅ △DEF. Match the corresponding parts from each triangle.
Vocabulary Review: △ABC ≅ △DEF. Match the corresponding parts from each triangle.
- ∠B
- side AB
- side BC
- ∠F
- side CA
- side DE
- ∠C
- ∠E
- side EF
- side FD
Use Your Vocabulary: Which transformations make up a glide reflection? Select all that apply.
Use Your Vocabulary: Which transformations make up a glide reflection? Select all that apply.
Reflection: Math Success
Reflection: Math Success