If LMNO - PQRS, what is the measure of SP ? L 3 M P. 15 2 N ? O 3 'R 15 O A. 25 О в. 30 О с. 35 O D. 40 5

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Geometry Problem:**

If \( LMNO \sim PQRS \), what is the measure of \( \overline{SP} \)?

**Diagrams:**

The image contains two quadrilaterals:

1. **Quadrilateral \( LMNO \):**
   - Side \( \overline{LM} = 3 \)
   - Side \( \overline{MO} = 2 \)
   - Side \( \overline{ON} = 3 \)
   - Side \( \overline{OL} = 5 \)

2. **Quadrilateral \( PQRS \):**
   - Side \( \overline{PQ} = 15 \)
   - Side \( \overline{QR} = 15 \)
   - Side \( \overline{RS} = 15 \)
   - Side \( \overline{SP} = ? \)

**Question:**

What is the length of \( \overline{SP} \)?

**Answer Choices:**

- A. 25
- B. 30
- C. 35
- D. 40

To solve this, use the property of similarity of polygons where corresponding side lengths are proportional.
Transcribed Image Text:**Geometry Problem:** If \( LMNO \sim PQRS \), what is the measure of \( \overline{SP} \)? **Diagrams:** The image contains two quadrilaterals: 1. **Quadrilateral \( LMNO \):** - Side \( \overline{LM} = 3 \) - Side \( \overline{MO} = 2 \) - Side \( \overline{ON} = 3 \) - Side \( \overline{OL} = 5 \) 2. **Quadrilateral \( PQRS \):** - Side \( \overline{PQ} = 15 \) - Side \( \overline{QR} = 15 \) - Side \( \overline{RS} = 15 \) - Side \( \overline{SP} = ? \) **Question:** What is the length of \( \overline{SP} \)? **Answer Choices:** - A. 25 - B. 30 - C. 35 - D. 40 To solve this, use the property of similarity of polygons where corresponding side lengths are proportional.
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