24. Given: BN || LC Prove: BN LM = CL NM %3D

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
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This is a geometry question. Problem 24 only.
### Geometry Problem Set

#### Problem 23
**Given:** ∠B ≅ ∠C

**Prove:** NM ⋅ CM = LM ⋅ BM

#### Problem 24
**Given:** BN ∥ LC 

**Prove:** BN ⋅ LM = CL ⋅ NM

#### Diagram Description:

The provided diagram features two geometric shapes.

- **Diagram for Problem 23:**
  - There is a quadrilateral with vertices labeled B, L, C, and N. 
  - An intersecting line through the quadrilateral creates point M. 
  - Angles are labeled (∠1 and ∠2) at the intersection point M.

- **Diagram for Problem 24:**
  - The quadrilateral remains similar with the same vertices B, L, C, and N.
  - The given parallel lines are BN ∥ LC.
  
Students are tasked with proving the given relationships using geometric properties and logic.
Transcribed Image Text:### Geometry Problem Set #### Problem 23 **Given:** ∠B ≅ ∠C **Prove:** NM ⋅ CM = LM ⋅ BM #### Problem 24 **Given:** BN ∥ LC **Prove:** BN ⋅ LM = CL ⋅ NM #### Diagram Description: The provided diagram features two geometric shapes. - **Diagram for Problem 23:** - There is a quadrilateral with vertices labeled B, L, C, and N. - An intersecting line through the quadrilateral creates point M. - Angles are labeled (∠1 and ∠2) at the intersection point M. - **Diagram for Problem 24:** - The quadrilateral remains similar with the same vertices B, L, C, and N. - The given parallel lines are BN ∥ LC. Students are tasked with proving the given relationships using geometric properties and logic.
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