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Geometry 5-1 Midsegments of Triangles
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by Matthew Richardson
| 22 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! What is the relationship between MP and AB? How do you know?
2
10 pts
Solve It! What conjecture can you make about the relationship between LN and AB?
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3
10 pts
Problem 1 Got It? In triangle XYZ, A is the midpoint of segment XY, B is the midpoint of segment YZ, and C is the midpoint of segment ZX.

Represent this information in a diagram on the canvas.
4
10 pts
Problem 1 Got It? In triangle XYZ, A is the midpoint of segment XY, B is the midpoint of segment YZ, and C is the midpoint of segment ZX.

Match the three pairs of parallel segments.
• segment XY
• segment YZ
• segment ZX
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5
10 pts
Problem 1 Got It? Reasoning: What is m∠VUO in the figure? Enter only a number.
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6
10 pts
Problem 2 Got It?
A
B
C
D
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7
10 pts
Problem 3 Got It?
A
B
C
D
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8
10 pts
A
B
C
D
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9
10 pts
A
B
C
D
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10
10 pts
A
B
C
D
11
10 pts
Vocabulary: How does the term midsegment describe the segments discussed in this lesson?
12
10 pts
Reasoning: If two noncollinear segments in the coordinate plane have slope 3, what can you conclude?
The segments are perpendicular.
The segments are parallel.
The segments are skew.
The segments bisect one another.
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13
10 pts
Error Analysis: A student sees the figure and makes the following conclusion.
What is the error in the student's reasoning?
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14
10 pts
Review Lesson 4-7: ∠1 ≅ ∠2. Match congruent triangles from the figure.
• △EFA
• △DCA
• △EFC
• △BFA
15
10 pts
Review Lesson 1-5: Segment TM bisects ∠STU so that mSTU = 5x + 4 and mMTU = 6x - 2.

Sketch a diagram to represent the given information.
16
10 pts
Review Lesson 1-5: Segment TM bisects ∠STU so that mSTU = 5x + 4 and mMTU = 6x - 2.

Find the value of x.
2
4
6
8
17
10 pts
Review Lesson 1-5: Segment TM bisects ∠STU so that mSTU = 5x + 4 and mMTU = 6x - 2.

Find the mSTU .
6
32
34
68
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18
10 pts
Review Lesson 1-6: Complete the following steps on the embedded GeoGebra Geometry utility above:
1. Construct acute ∠E
2. Construct the bisector of ∠E

Remember to leave any evidence that indicates your method of construction.
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19
5 pts
A
B
C
D
E
20
5 pts
A
B
C
D
21
5 pts
A
B
C
D
22
10 pts
Reflection: Math Success