Geometry 5-1 Complete Lesson: Midsegments of Triangles

Last updated almost 4 years ago

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.

Geometry 5-1 Complete Lesson: Midsegments of Triangles

Geometry 5-1 Complete Lesson: Midsegments of Triangles

Solve It! What is the relationship between MP and AB? How do you know?

Solve It! What conjecture can you make about the relationship between LN and AB?

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.

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.

Problem 1 Got It? Reasoning: What is m∠VUO in the figure? Enter only a number.

Problem 2 Got It?

Problem 3 Got It?

Vocabulary: How does the term midsegment describe the segments discussed in this lesson?

Reasoning: If two noncollinear segments in the coordinate plane have slope 3, what can you conclude?

Error Analysis: A student sees the figure and makes the following conclusion.
What is the error in the student's reasoning?

Review Lesson 4-7: ∠1 ≅ ∠2. Match congruent triangles from the figure.

Review Lesson 1-5: Segment TM bisects ∠STU so that m∠STU = 5x + 4 and m∠MTU = 6x - 2.

Sketch a diagram to represent the given information.

Review Lesson 1-5: Segment TM bisects ∠STU so that m∠STU = 5x + 4 and m∠MTU = 6x - 2.

Find the value of x.

Review Lesson 1-5: Segment TM bisects ∠STU so that m∠STU = 5x + 4 and m∠MTU = 6x - 2.

Find the m∠STU .

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

Screenshot your construction and upload it to the canvas.
Remember to leave any evidence that indicates your method of construction.

Reflection: Math Success

Solve It! What is the relationship between MP and AB? How do you know?

Solve It! What conjecture can you make about the relationship between LN and AB?

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.

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.

Problem 1 Got It? Reasoning: What is m∠VUO in the figure? Enter only a number.

Problem 2 Got It?

Problem 3 Got It?

Vocabulary: How does the term midsegment describe the segments discussed in this lesson?

Reasoning: If two noncollinear segments in the coordinate plane have slope 3, what can you conclude?

Error Analysis: A student sees the figure and makes the following conclusion.
What is the error in the student's reasoning?

Review Lesson 4-7: ∠1 ≅ ∠2. Match congruent triangles from the figure.

Review Lesson 1-5: Segment TM bisects ∠STU so that m∠STU = 5x + 4 and m∠MTU = 6x - 2.

Sketch a diagram to represent the given information.

Review Lesson 1-5: Segment TM bisects ∠STU so that m∠STU = 5x + 4 and m∠MTU = 6x - 2.

Find the value of x.

Review Lesson 1-5: Segment TM bisects ∠STU so that m∠STU = 5x + 4 and m∠MTU = 6x - 2.

Find the m∠STU .

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

Screenshot your construction and upload it to the canvas.
Remember to leave any evidence that indicates your method of construction.

Reflection: Math Success

Geometry 5-1 Complete Lesson: Midsegments of Triangles

Geometry 5-1 Complete Lesson: Midsegments of Triangles

Solve It! What is the relationship between MP and AB? How do you know?

Solve It! What conjecture can you make about the relationship between LN and AB?

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.

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.

Problem 1 Got It? Reasoning: What is m∠VUO in the figure? Enter only a number.

Problem 2 Got It?

Problem 3 Got It?

Vocabulary: How does the term midsegment describe the segments discussed in this lesson?

Reasoning: If two noncollinear segments in the coordinate plane have slope 3, what can you conclude?

Error Analysis: A student sees the figure and makes the following conclusion. What is the error in the student's reasoning?

Review Lesson 4-7: ∠1 ≅ ∠2. Match congruent triangles from the figure.

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

Review Lesson 1-5: Segment TM bisects ∠STU so that m∠STU = 5x + 4 and m∠MTU = 6x - 2.Find the value of x.

Review Lesson 1-5: Segment TM bisects ∠STU so that m∠STU = 5x + 4 and m∠MTU = 6x - 2.Find the m∠STU .

Review Lesson 1-6: Complete the following steps on the embedded GeoGebra Geometry utility above: 1. Construct acute ∠E2. Construct the bisector of ∠EScreenshot your construction and upload it to the canvas. Remember to leave any evidence that indicates your method of construction.

Reflection: Math Success

Solve It! What is the relationship between MP and AB? How do you know?

Solve It! What conjecture can you make about the relationship between LN and AB?

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.

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.

Problem 1 Got It? Reasoning: What is m∠VUO in the figure? Enter only a number.

Problem 2 Got It?

Problem 3 Got It?

Vocabulary: How does the term midsegment describe the segments discussed in this lesson?

Reasoning: If two noncollinear segments in the coordinate plane have slope 3, what can you conclude?

Error Analysis: A student sees the figure and makes the following conclusion. What is the error in the student's reasoning?

Review Lesson 4-7: ∠1 ≅ ∠2. Match congruent triangles from the figure.

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

Review Lesson 1-5: Segment TM bisects ∠STU so that m∠STU = 5x + 4 and m∠MTU = 6x - 2.Find the value of x.

Review Lesson 1-5: Segment TM bisects ∠STU so that m∠STU = 5x + 4 and m∠MTU = 6x - 2.Find the m∠STU .

Review Lesson 1-6: Complete the following steps on the embedded GeoGebra Geometry utility above: 1. Construct acute ∠E2. Construct the bisector of ∠EScreenshot your construction and upload it to the canvas. Remember to leave any evidence that indicates your method of construction.

Reflection: Math Success

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.

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.

Error Analysis: A student sees the figure and makes the following conclusion.
What is the error in the student's reasoning?

Review Lesson 1-5: Segment TM bisects ∠STU so that m∠STU = 5x + 4 and m∠MTU = 6x - 2.

Sketch a diagram to represent the given information.

Review Lesson 1-5: Segment TM bisects ∠STU so that m∠STU = 5x + 4 and m∠MTU = 6x - 2.

Find the value of x.

Review Lesson 1-5: Segment TM bisects ∠STU so that m∠STU = 5x + 4 and m∠MTU = 6x - 2.

Find the m∠STU .

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

Screenshot your construction and upload it to the canvas.
Remember to leave any evidence that indicates your method of construction.

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.

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.

Error Analysis: A student sees the figure and makes the following conclusion.
What is the error in the student's reasoning?

Review Lesson 1-5: Segment TM bisects ∠STU so that m∠STU = 5x + 4 and m∠MTU = 6x - 2.

Sketch a diagram to represent the given information.

Review Lesson 1-5: Segment TM bisects ∠STU so that m∠STU = 5x + 4 and m∠MTU = 6x - 2.

Find the value of x.

Review Lesson 1-5: Segment TM bisects ∠STU so that m∠STU = 5x + 4 and m∠MTU = 6x - 2.

Find the m∠STU .

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

Screenshot your construction and upload it to the canvas.
Remember to leave any evidence that indicates your method of construction.