Since the diagonálß rectangle. GuldedPractice 4 Quadrilateral JKLM has vertices J(-10, 2), K(-8, -6), L(5, –3), and M(2, 5). Determine whether JKLM is a rectangle using the Slope Formula. connectED.mcgraw-hill.com 425

Elementary Geometry For College Students, 7e
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Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
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Please help me with question 4 page 425 and question 1 and 2 page 78
### Guided Practice

4. Quadrilateral JKLM has vertices J(-10, 2), K(-8, -6), L(5, -3), and M(2, 5). Determine whether JKLM is a rectangle using the Slope Formula.

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Page 425
Transcribed Image Text:### Guided Practice 4. Quadrilateral JKLM has vertices J(-10, 2), K(-8, -6), L(5, -3), and M(2, 5). Determine whether JKLM is a rectangle using the Slope Formula. Website Resource: [connectED.mcgraw-hill.com](http://connectED.mcgraw-hill.com) Page 425
### Chapter 6

#### Problems:

1. **Points A(-3, 1), B(-3, 3), C(3, 3), D(3, 1);** Use the Distance Formula.
2. **Points A(-3, 0), B(-2, 3), C(4, 5), D(3, 2);** Use the Slope Formula.
3. **Points A(-3, 0), B(-2, 2), C(3, 0), D(2, -2);** Use the Distance Formula.
4. **Points A(-1, 0), B(0, 2), C(4, 0), D(3, -2);** Use the Distance Formula.

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**Page:** 78

(End of the content on this page)

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Below is an interpretation of the general formulas needed:

##### Distance Formula:
The distance \( d \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is:
\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]

##### Slope Formula:
The slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]

---

These points and formulas can be used to solve geometric problems such as finding the lengths of the sides of polygons, determining the slope of a line, or verifying the characteristics of geometric figures in a coordinate plane.
Transcribed Image Text:### Chapter 6 #### Problems: 1. **Points A(-3, 1), B(-3, 3), C(3, 3), D(3, 1);** Use the Distance Formula. 2. **Points A(-3, 0), B(-2, 3), C(4, 5), D(3, 2);** Use the Slope Formula. 3. **Points A(-3, 0), B(-2, 2), C(3, 0), D(2, -2);** Use the Distance Formula. 4. **Points A(-1, 0), B(0, 2), C(4, 0), D(3, -2);** Use the Distance Formula. --- **Page:** 78 (End of the content on this page) --- Below is an interpretation of the general formulas needed: ##### Distance Formula: The distance \( d \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is: \[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \] ##### Slope Formula: The slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] --- These points and formulas can be used to solve geometric problems such as finding the lengths of the sides of polygons, determining the slope of a line, or verifying the characteristics of geometric figures in a coordinate plane.
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