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Geometry Unit 3 Assignments Name ________________________ Period ______ Date _____________ 1 Slopes of Lines Assignment Show all your work to earn credit.

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Page 1: Geometry Unit 3 Assignments - Geometry with Mrs. Henrygeometryhenry.weebly.com/uploads/5/6/5/5/56558273/... · Geometry Unit 3 Assignments Name _____ Period _____ Date _____ 2 Partitioning

Geometry Unit 3 Assignments Name ________________________ Period ______ Date _____________

1

Slopes of Lines Assignment Show all your work to earn credit.

Page 2: Geometry Unit 3 Assignments - Geometry with Mrs. Henrygeometryhenry.weebly.com/uploads/5/6/5/5/56558273/... · Geometry Unit 3 Assignments Name _____ Period _____ Date _____ 2 Partitioning

Geometry Unit 3 Assignments Name ________________________ Period ______ Date _____________

2

Partitioning a Segment Assignment 1. Find the point, P, that lies along the direct line segment from A = -9 to B = 5 and partitions the segment

into the ratio of 3:4.

2. Find the point, P, that lies along the direct line segment from A = 7 to B = -3 and partitions the segment into the ratio of 3:1.

3. Given the points A(4, 9) and B(-5, -3), find the coordinates of the point P on directed line segment AB that partitions AB in the ratio 2:3.

 

4. Given the points A(-2, 4) and B(7, -2), find the coordinates of the point P on directed line segment AB that partitions AB in the ratio 1:2.

5. The map shows a straight highway between two towns. Highway planners want to build two new rest stops between the towns so that the two rest stops divided the highway into three equal parts. Find the coordinates of the points at which the rest stops should be built.

Page 3: Geometry Unit 3 Assignments - Geometry with Mrs. Henrygeometryhenry.weebly.com/uploads/5/6/5/5/56558273/... · Geometry Unit 3 Assignments Name _____ Period _____ Date _____ 2 Partitioning

Geometry Unit 3 Assignments Name ________________________ Period ______ Date _____________

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Equations of Lines Assignment

Write an equation of the line through each pair of points in slope-intercept form.

Find the equation of the graphed line.

Page 4: Geometry Unit 3 Assignments - Geometry with Mrs. Henrygeometryhenry.weebly.com/uploads/5/6/5/5/56558273/... · Geometry Unit 3 Assignments Name _____ Period _____ Date _____ 2 Partitioning

Geometry Unit 3 Assignments Name ________________________ Period ______ Date _____________

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Introduction to Parallel and Perpendicular Lines Assignment Determine the slopes of the lines on each graph. Classify the lines as parallel, perpendicular, or neither and explain how you know. 1.

2.

𝑚! = __________ and 𝑚! = __________

Classification: ___________________ Explanation: _______________________

𝑚! = __________ and 𝑚! = __________ Classification: ___________________ Explanation: _______________________

3.

4.

𝑚! = __________ and 𝑚! = __________

Classification: ___________________ Explanation: _______________________

𝑚! = __________ and 𝑚! = __________ Classification: ___________________ Explanation: _______________________

5. How can you determine whether lines are parallel, perpendicular, or neither if you are only given equations of

lines instead of graphs?

Classify the lines as parallel, perpendicular, or neither and explain how you know.

6. 𝑦 = 7𝑥 + 3 and 𝑦 = − !!𝑥 + 3 7. 𝑦 = !

!𝑥 − 1 and 𝑦 = !

!𝑥 + 6

Classification: ___________________ Explanation: _______________________ _________________________________

Classification: ___________________ Explanation: _______________________ _________________________________

8. 𝑦 = !!𝑥 − 2 and 𝑦 = !

!𝑥 − 2 9. 𝑦 = 2𝑥 + 4 and 𝑦 = −3𝑥 + 4

Classification: ___________________ Explanation: _______________________ _________________________________

Classification: ___________________ Explanation: _______________________ _________________________________

Page 5: Geometry Unit 3 Assignments - Geometry with Mrs. Henrygeometryhenry.weebly.com/uploads/5/6/5/5/56558273/... · Geometry Unit 3 Assignments Name _____ Period _____ Date _____ 2 Partitioning

Geometry Unit 3 Assignments Name ________________________ Period ______ Date _____________

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Slopes and Parallel Lines Assignment

Page 6: Geometry Unit 3 Assignments - Geometry with Mrs. Henrygeometryhenry.weebly.com/uploads/5/6/5/5/56558273/... · Geometry Unit 3 Assignments Name _____ Period _____ Date _____ 2 Partitioning

Geometry Unit 3 Assignments Name ________________________ Period ______ Date _____________

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Slopes and Perpendicular Lines Assignment

Page 7: Geometry Unit 3 Assignments - Geometry with Mrs. Henrygeometryhenry.weebly.com/uploads/5/6/5/5/56558273/... · Geometry Unit 3 Assignments Name _____ Period _____ Date _____ 2 Partitioning

Geometry Unit 3 Assignments Name ________________________ Period ______ Date _____________

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Perpendicular Bisector Assignment Include an explanation for each answer.