Geometry 1-3 Complete Lesson: Measuring Segments

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Solve It!

On a freshwater fishing trip, you catch the fish below. By law, you must release any fish between 15 and 19 in. long. You need to measure your fish, but the front of the measuring tape on the boat is worn away.

Can you keep your fish (shown in the picture)?

Use the text tool to explain how you found your answer on the canvas.

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Take Note: Summarize the Ruler Postulate.

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Take Note: Define coordinate.

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Take Note: Summarize the process for finding distance on a number line by using the Ruler Postulate and absolute value.

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Problem 1 Got It? What are UV and SV on the number line?

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Take Note: Summarize the Segment Addition Postulate.

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Take Note: Use the math input keyboard to type the congruent symbol.

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Take Note: Describe what it means for two line segments to be congruent.

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Problem 3 Got It?

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Problem 3 Got It?

To find AC in Problem 3, suppose you subtract -2 from 5.

Do you get the same result?

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Take Note: Define midpoint of a segment. You may use the canvas to help illustrate your definition.

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Take Note: Define segment bisector. You may use the canvas to help illustrate your definition.

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Problem 4 Got It?

Is it necessary to substitute 8 for x in the expression for QR in order to find QR?

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Problem 4 Got It?

U is the midpoint of segment TV.

What is TU?
Enter only a number.

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Vocabulary: line l and point Q are both segment bisectors of line segment PR.

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Compare and Contrast: Describe the difference between saying that two segments are congruent and saying that two segments have equal length. When would you use each phrase?

FYI: This is traditionally one of the tougher concepts to grasp at this point in the course. Please review, research, or ask for clarification if you are struggling.

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Error Analysis: You and your friend live 5 mi apart. He says that it is 5 mi from his house to your house and -5 mi from your house to his house. What is the error in his argument?

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Review Lesson 1-2: Complete each sentence on the right with either always, sometimes, or never from the left.

You may need to zoom out to see all of the items. You can also place each item from the left column by selecting it (click it) then selecting (clicking on) the category for it.

always
sometimes
never

Opposite rays __?__ form a line.
Three distinct points are __?__ coplanar.
When two distinct planes instersect, their intersection is __?__ a plane.
The intersection of two distinct planes is __?__ a line.
Three distinct points are __?__ collinear.

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Review Lesson 1-2: Which statements can be concluded based on the information in the given diagram? Select all that apply.

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Algebra Review: Place the steps for solving the given equation in the correct order.

Check the solution by substituting 14 in place of x in the original equation and verify that it checks out.
Subtract 7 from both sides of the equation.
Arrive at the solution x = 14.
Divide both sides of the equation by 2.

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Use Your Vocabulary: A ray has one __________.

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Use Your Vocabulary: A line contains infinitely many __________.

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Use Your Vocabulary: A segment has two __________.

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Use Your Vocabulary: A segment is part of a __________.

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Geometry 1-3 Complete Lesson: Measuring Segments

Take Note: Summarize the Ruler Postulate.

Take Note: Define coordinate.

Take Note: Summarize the process for finding distance on a number line by using the Ruler Postulate and absolute value.

Problem 1 Got It? What are UV and SV on the number line?

Take Note: Summarize the Segment Addition Postulate.

Take Note: Use the math input keyboard to type the congruent symbol.

Take Note: Describe what it means for two line segments to be congruent.

Problem 3 Got It?

Problem 3 Got It?To find AC in Problem 3, suppose you subtract -2 from 5.Do you get the same result?

Take Note: Define midpoint of a segment. You may use the canvas to help illustrate your definition.

Take Note: Define segment bisector. You may use the canvas to help illustrate your definition.

Problem 4 Got It?Is it necessary to substitute 8 for x in the expression for QR in order to find QR?

Problem 4 Got It?U is the midpoint of segment TV.What is TU?Enter only a number.

Vocabulary: line l and point Q are both segment bisectors of line segment PR.

Error Analysis: You and your friend live 5 mi apart. He says that it is 5 mi from his house to your house and -5 mi from your house to his house. What is the error in his argument?

Review Lesson 1-2: Complete each sentence on the right with either always, sometimes, or never from the left.You may need to zoom out to see all of the items. You can also place each item from the left column by selecting it (click it) then selecting (clicking on) the category for it.

Review Lesson 1-2: Which statements can be concluded based on the information in the given diagram? Select all that apply.

Algebra Review: Place the steps for solving the given equation in the correct order.

Use Your Vocabulary: A ray has one __________.

Use Your Vocabulary: A line contains infinitely many __________.

Use Your Vocabulary: A segment has two __________.

Use Your Vocabulary: A segment is part of a __________.

Reflection: Math Success

Take Note: Summarize the Ruler Postulate.

Take Note: Define coordinate.

Take Note: Summarize the process for finding distance on a number line by using the Ruler Postulate and absolute value.

Problem 1 Got It? What are UV and SV on the number line?

Take Note: Summarize the Segment Addition Postulate.

Problem 2 Got It?In the diagram, JL = 120.What are JK and KL?

Take Note: Use the math input keyboard to type the congruent symbol.

Take Note: Describe what it means for two line segments to be congruent.

Problem 3 Got It?

Problem 3 Got It?To find AC in Problem 3, suppose you subtract -2 from 5.Do you get the same result?

Justification: Explain your response.

Take Note: Define midpoint of a segment. You may use the canvas to help illustrate your definition.

Take Note: Define segment bisector. You may use the canvas to help illustrate your definition.

Problem 4 Got It?Is it necessary to substitute 8 for x in the expression for QR in order to find QR?

Justification: Explain your response.

Problem 4 Got It?U is the midpoint of segment TV.What is TU?Enter only a number.

Problem 4 Got It?U is the midpoint of segment TV.What is UV?Enter only a number.

Problem 4 Got It?U is the midpoint of segment TV.What is TV?Enter only a number.

Vocabulary: line l and point Q are both segment bisectors of line segment PR.

Error Analysis: You and your friend live 5 mi apart. He says that it is 5 mi from his house to your house and -5 mi from your house to his house. What is the error in his argument?

Review Lesson 1-2: Complete each sentence on the right with either always, sometimes, or never from the left.You may need to zoom out to see all of the items. You can also place each item from the left column by selecting it (click it) then selecting (clicking on) the category for it.

Review Lesson 1-2: Which statements can be concluded based on the information in the given diagram? Select all that apply.

Algebra Review: Place the steps for solving the given equation in the correct order.

Use Your Vocabulary: A ray has one __________.

Use Your Vocabulary: A line contains infinitely many __________.

Use Your Vocabulary: A segment has two __________.

Use Your Vocabulary: A segment is part of a __________.

Reflection: Math Success

Problem 2 Got It?In the diagram, JL = 120.What are JK and KL?

Justification: Explain your response.

Justification: Explain your response.

Problem 4 Got It?U is the midpoint of segment TV.What is UV?Enter only a number.

Problem 4 Got It?U is the midpoint of segment TV.What is TV?Enter only a number.

Problem 3 Got It?

To find AC in Problem 3, suppose you subtract -2 from 5.

Do you get the same result?

Problem 4 Got It?

Is it necessary to substitute 8 for x in the expression for QR in order to find QR?

Problem 4 Got It?

U is the midpoint of segment TV.

What is TU?
Enter only a number.

Review Lesson 1-2: Complete each sentence on the right with either always, sometimes, or never from the left.

You may need to zoom out to see all of the items. You can also place each item from the left column by selecting it (click it) then selecting (clicking on) the category for it.

Problem 2 Got It?

In the diagram, JL = 120.

What are JK and KL?

Problem 3 Got It?

To find AC in Problem 3, suppose you subtract -2 from 5.

Do you get the same result?

Problem 4 Got It?

Is it necessary to substitute 8 for x in the expression for QR in order to find QR?

Problem 4 Got It?

U is the midpoint of segment TV.

What is TU?
Enter only a number.

Problem 4 Got It?

U is the midpoint of segment TV.

What is UV?
Enter only a number.

Problem 4 Got It?

U is the midpoint of segment TV.

What is TV?
Enter only a number.

Review Lesson 1-2: Complete each sentence on the right with either always, sometimes, or never from the left.

You may need to zoom out to see all of the items. You can also place each item from the left column by selecting it (click it) then selecting (clicking on) the category for it.

Problem 2 Got It?

In the diagram, JL = 120.

What are JK and KL?

Problem 4 Got It?

U is the midpoint of segment TV.

What is UV?
Enter only a number.

Problem 4 Got It?

U is the midpoint of segment TV.

What is TV?
Enter only a number.