Determine if triangle RST and triangle UVW are or are not similar, and, if they state how you know. (Note that figures are NOT necessarily drawn to scale.) are, W 10 T 15 V R 10 5 U The triangles similar. Submit Answer attempt i out of 2 ype here to search Ae

Mathematics For Machine Technology
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Author:Peterson, John.
Publisher:Peterson, John.
Chapter87: An Introduction To G- And M-codes For Cnc Programming
Section: Chapter Questions
Problem 23A: Write a G-code program for the counterclockwise arc with starting point (-40, -20), ending point...
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**Problem Statement:**
Determine if triangle \( RST \) and triangle \( UVW \) are or are not similar, and, if they are, state how you know. (Note that figures are NOT necessarily drawn to scale.)

**Diagrams:**
- **Triangle \( RST \)**
  - Side \( RT \): 7 units
  - Side \( TS \): 5 units
  - Side \( RS \): 5 units

- **Triangle \( UVW \)**
  - Side \( UW \): 10 units
  - Side \( WV \): 10 units
  - Side \( UV \): 15 units

**Question:**
The triangles ____ similar.

**Options:**
- Are
- Are not

**Instruction to Submit Answer:**
A button labeled "Submit Answer" is provided for submitting the answer.

**Detailed Explanation:**
To determine if triangles \( RST \) and \( UVW \) are similar, we compare their corresponding sides. Triangles are similar if their corresponding side lengths are proportional.

For Triangle \( RST \):
- \( RT = 7 \)
- \( TS = 5 \)
- \( RS = 5 \)

For Triangle \( UVW \):
- \( UW = 10 \)
- \( WV = 10 \)
- \( UV = 15 \)

Checking the ratios of the corresponding sides:
- \( \frac{RT}{UW} = \frac{7}{10} \)
- \( \frac{TS}{WV} = \frac{5}{10} = \frac{1}{2} \)
- \( \frac{RS}{UV} = \frac{5}{15} = \frac{1}{3} \)

Since the ratios are not all equal, the triangles \( RST \) and \( UVW \) are **not similar**. 

**Answer:**
The triangles are not similar.
Transcribed Image Text:**Problem Statement:** Determine if triangle \( RST \) and triangle \( UVW \) are or are not similar, and, if they are, state how you know. (Note that figures are NOT necessarily drawn to scale.) **Diagrams:** - **Triangle \( RST \)** - Side \( RT \): 7 units - Side \( TS \): 5 units - Side \( RS \): 5 units - **Triangle \( UVW \)** - Side \( UW \): 10 units - Side \( WV \): 10 units - Side \( UV \): 15 units **Question:** The triangles ____ similar. **Options:** - Are - Are not **Instruction to Submit Answer:** A button labeled "Submit Answer" is provided for submitting the answer. **Detailed Explanation:** To determine if triangles \( RST \) and \( UVW \) are similar, we compare their corresponding sides. Triangles are similar if their corresponding side lengths are proportional. For Triangle \( RST \): - \( RT = 7 \) - \( TS = 5 \) - \( RS = 5 \) For Triangle \( UVW \): - \( UW = 10 \) - \( WV = 10 \) - \( UV = 15 \) Checking the ratios of the corresponding sides: - \( \frac{RT}{UW} = \frac{7}{10} \) - \( \frac{TS}{WV} = \frac{5}{10} = \frac{1}{2} \) - \( \frac{RS}{UV} = \frac{5}{15} = \frac{1}{3} \) Since the ratios are not all equal, the triangles \( RST \) and \( UVW \) are **not similar**. **Answer:** The triangles are not similar.
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