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9-12 Integrated Math 1 Unit 5 Lesson 9

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K-5 Math 6-8 Math •9-12 Math

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•Integrated Math 1 Integrated Math 2 Integrated Math 3

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Unit 1 Unit 2 Unit 3 Unit 4 •Unit 5 Unit 6 Unit 7 Unit 8 Unit 9

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Lesson 1 Lesson 2 Lesson 3 Lesson 4 Lesson 5 Lesson 6 Lesson 7 Lesson 8 •Lesson 9 Lesson 10 Lesson 11

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Unit 5, Lesson 9

Classifying with Slope

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Integrated Math 1

Practice

Problem 1

A quadrilateral has vertices \(A(0,0), B(1,3), C (0,4),\) and \(D(\text-1,1)\). Prove that \(ABCD\) is a parallelogram.

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Problem 2

A rhombus has vertices at \((0,0),(5,0),(3,4),\) and \((8,4)\).

Find the slopes of the 2 diagonals of the rhombus.
What do the slopes tell you about the diagonals in this rhombus?

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Problem 3

Show that the triangle formed with vertices at \((0,0), (4,3),\) and \((\text-2,11)\) is a right triangle.
Find the area of the triangle.

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Problem 4

ForLesson 7: It’s All on the Line

Here is a line \(\ell\). Write equations for and graph 2 different lines perpendicular to \(\ell\) and 2 different lines parallel to \(\ell\).

<p>Increasing line labeled l. Contains the points 0 comma 3, 3 comma 3 and 6 comma 7.</p>

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Problem 5

ForLesson 6: Perpendicular Lines in the Plane

The line shown is rotated 90 degrees clockwise around the origin. What is the slope of its image?

<p>graph of line y = 3x</p>

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Problem 6

ForLesson 13: Incorporating Rotations

The semaphore alphabet is a way to use flags to signal messages. Here's how to signal the letter U. Describe a transformation that would take the left hand flag to the right hand flag.

<p>Stick figure with arms up with a flag in each hand. One is labeled R and the other is labeled L.</p> — the letter U in semaphore

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Lesson 9 Resources

Student Materials Student Materials in Spanish