## GSE Geometry B - Week 8### Lesson 8.1: Using the Distance Formula with Polygons### Lesson 8.2: Using the Distance Formula with Circles**Instructions:**Before working on the problems, study the lesson listed above each problem set. Record the answers on the answer sheet. Turn in the answer sheet to be graded.For some problem sets, answer boxes are given. Choices may be used more than once if necessary.---### Lesson 8.1: Using the Distance Formula with Polygons#### Problem Set:Given right triangle \( ABC \); \( A(-2, 5), B(4, -3), \) and \( C(-2, -3) \). Find the indicated information.1. **Find \( AB \).** 2. **Find \( BC \).** 3. **Find \( AC \).** 4. **Find the perimeter.** 5. **Find the area.** **Graph:**- A graph depicts triangle \( ABC \) on a Cartesian plane with points plotted at \( A(-2, 5) \), \( B(4, -3) \), and \( C(-2, -3) \).---Given square \( WXYZ \); \( W(0, 4), X(4, 0), Y(0, -4), \) and \( Z(-4, 0) \). Find the indicated information.6. **Find the exact length of a side of the square.** 7. **Find the approximate side length.** 8. **Find the exact perimeter.** 9. **Find the approximate perimeter.** 10. **Find the area.** **Graph:**- A graph shows square \( WXYZ \) on a Cartesian plane with points marked at \( W(0, 4), X(4, 0), Y(0, -4), \) and \( Z(-4, 0) \), forming a square shape.---### Choices for 1-10:- A) 4- B) 6- C) 8- D) 10- E) 16- AB) 24- AC) 30- AD) 32- AE) 40- BC) \( 2\sqrt{2} \)

Lesson 8.1 Using the Distance Formula with Polygons Given right triangle ABC; A(-2, 5), B(4, -3), and C(-2, -3). Find the indicated information. A 1. Find AB. 2. Find BC. -6 -5 -4 -3 345 3. Find AC. B. 4. Find the perimeter. 5. Find the area. Given square WXYZ; W(0, 4), X(4, 0), Y(0, -4), and Z(-4, 0). Find the indicated information. 6. Find the exact length of a side of the square. 7. Find the approximate side length. -6 -5 -3 -2 -1 -1- 23 4 56 8. Find the exact perimeter. 9. Find the approximate perimeter. 10. Find the area. ५ ৭

Lesson 8.1 Using the Distance Formula with Polygons Given right triangle ABC; A(-2, 5), B(4, -3), and C(-2, -3). Find the indicated information. A 1. Find AB. 2. Find BC. -6 -5 -4 -3 345 3. Find AC. B. 4. Find the perimeter. 5. Find the area. Given square WXYZ; W(0, 4), X(4, 0), Y(0, -4), and Z(-4, 0). Find the indicated information. 6. Find the exact length of a side of the square. 7. Find the approximate side length. -6 -5 -3 -2 -1 -1- 23 4 56 8. Find the exact perimeter. 9. Find the approximate perimeter. 10. Find the area. ५ ৭

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Question

## GSE Geometry B - Week 8

### Lesson 8.1: Using the Distance Formula with Polygons
### Lesson 8.2: Using the Distance Formula with Circles

**Instructions:**
Before working on the problems, study the lesson listed above each problem set. Record the answers on the answer sheet. Turn in the answer sheet to be graded.

For some problem sets, answer boxes are given. Choices may be used more than once if necessary.

---

### Lesson 8.1: Using the Distance Formula with Polygons

#### Problem Set:

Given right triangle \( ABC \); \( A(-2, 5), B(4, -3), \) and \( C(-2, -3) \).
Find the indicated information.

1. **Find \( AB \).**
2. **Find \( BC \).**
3. **Find \( AC \).**
4. **Find the perimeter.**
5. **Find the area.**

**Graph:**
- A graph depicts triangle \( ABC \) on a Cartesian plane with points plotted at \( A(-2, 5) \), \( B(4, -3) \), and \( C(-2, -3) \).

---

Given square \( WXYZ \); \( W(0, 4), X(4, 0), Y(0, -4), \) and \( Z(-4, 0) \).
Find the indicated information.

6. **Find the exact length of a side of the square.**
7. **Find the approximate side length.**
8. **Find the exact perimeter.**
9. **Find the approximate perimeter.**
10. **Find the area.**

**Graph:**
- A graph shows square \( WXYZ \) on a Cartesian plane with points marked at \( W(0, 4), X(4, 0), Y(0, -4), \) and \( Z(-4, 0) \), forming a square shape.

---

### Choices for 1-10:

- A) 4
- B) 6
- C) 8
- D) 10
- E) 16
- AB) 24
- AC) 30
- AD) 32
- AE) 40
- BC) \( 2\sqrt{2} \)

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