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Geometry 3-5 Parallel Lines and Triangles
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by Matthew Richardson
| 25 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
30 pts
Solve It! Take and embed pictures on the canvas to document your progress after each step.
1. Draw and cut out a large triangle.
2. Tear off all three corners of the triangle.
3. Place the three corner pieces (that you tore off) so that they form adjacent angles.
2
10 pts
Solve It! What is the sum of the meaures of the three angles of your triangle?
Enter only a number.
3
10 pts
Analysis: Do all triangles have the same interior angle sum? How does the Solve It! activity support your answer?
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4
10 pts
Problem 1 Got It?
A
B
C
D
5
10 pts
Vocabulary: Define remote interior angles in your own words.
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6
10 pts
Problem 2 Got It? Two angles of a triangle measure 53. What is the measure of an exterior angle at each vertex of the triangle?
53, 53, 74
74, 74, 106
106, 127, 127
127, 127, 127
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7
10 pts
Problem 3 Got It? In Problem 3, can you find m∠A without using the Triangle Exterior Angle Theorem?
Yes
No
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9
10 pts
A
B
C
D
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10
10 pts
A
B
C
D
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11
10 pts
A
B
C
D
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12
10 pts
A
B
C
D
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13
10 pts
A
B
C
D
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14
10 pts
A
B
C
D
15
10 pts
Reasoning: Explain how the Triangle Exterior Angle Theorem makes sense based on the Triangle Angle-Sum Theorem.
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16
10 pts
Error Analysis: The measures of the interior angles of a triangle are 30, x, and 3x. Which of these methods for solving for x is incorrect?
A
B
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18
5 pts
Review Lesson 3-4: If ∠1 and ∠2 are supplementary, what can you conclude about lines a and c?
They are perpendicular.
They are parallel.
They are neither parallel nor perpendicular.
19
10 pts
Review Lesson 3-4:ABC and ∠CBD form a linear pair. If mABC = 3x + 20 and mCBD = x + 32, find the value of x. Enter only a number.
20
10 pts
Review Lesson 3-4: ∠1 and ∠2 are supplementary. If ∠1 ≅ ∠2, find m∠1 and m∠2. Enter only a number.
21
10 pts
Use Your Vocabulary: Classify each statement as true or false.
• True
Answer by dragging items here
• False
Answer by dragging items here
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22
5 pts
0
1
2
infinitely many
23
5 pts
Enter only a number.
24
5 pts
Enter only a number.
25
10 pts
Reflection: Math Success
Add to my formatives list