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Geometry 4-7 Congruence in Overlapping Triangles
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by Matthew Richardson
| 24 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.
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1
10 pts
Solve It! An assignment for your graphic design class is to make a colorful design using triangles. How many triangles are in your design? Enter only a number.
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2
10 pts
Problem 1 Got It?
A
B
C
D
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3
10 pts
Problem 1 Got It?
A
B
C
D
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4
20 pts
Problem 2 Got It? Complete the proof on the canvas.
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5
20 pts
Problem 3 Got It? Complete the proof on the canvas.
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6
20 pts
Problem 4 Got It? Complete the proof on the canvas.
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7
10 pts
A
B
C
D
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8
10 pts
A
B
C
D
9
10 pts
Separate and redraw the overlapping triangles. Label the vertices.
10
10 pts
Separate and redraw the overlapping triangles. Label the vertices.
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11
10 pts
Reasoning: In Exercise 1, both triangles have vertices J and K. Are ∠J and ∠K common angles for △MKJ and △LJK? Explain.
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13
10 pts
Reasoning: In the figure, which pair of triangles could you prove congruent first in order to prove that △ACD ≅ △CAB ? Explain.
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14
5 pts
Enter only the word that fills the blank, with no spaces.
15
5 pts
Enter only the word that fills the blank, with no spaces.
16
5 pts
Enter only the word that fills the blank, with no spaces.
17
5 pts
Side Angle Side
Angle Side Angle
Side Side Side
Hypotenuse Leg
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18
20 pts
Review Lesson 3-6: Complete the construction using GeoGebra. Screenshot your final product and upload it to the canvas. Be sure to label all points and leave any evidence that indicates how you completed the task.

Draw a line p and a point M not on p. Then construct line n through M so that n is perpendicular to P.
You may leave lines and points unlabeled.
19
5 pts
Review Lesson 1-7: Find the coordinates of the midpoint of the segment with the given endpoints.

(-1, -2)
(2, 4)
(1, 2)
(3, 3)
20
5 pts
Review Lesson 1-7: Find the coordinates of the midpoint of the segment with the given endpoints.
Enter your response in this format, with the only space following the comma: (-3.5, 14)
21
5 pts
Review Lesson 1-7: Find the coordinates of the midpoint of the segment with the given endpoints.
Enter your response in this format, with the only space following the comma: (-3.5, 14)
22
10 pts
Vocabulary Review: Identify the common side of each pair of triangles.
  • △ABC and △ADC
    Answer by dragging items here
  • △XWZ and △YWZ
    Answer by dragging items here
  • △RST and △RPT
    Answer by dragging items here
23
10 pts
Use Your Vocabulary: Identify the common regions of the overlapping figures in the diagram above.
  • △FGD and △CBE
    Answer by dragging items here
  • △BEC and △HED
    Answer by dragging items here
24
10 pts
Reflection: Math Success
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