Geometry

Search in Geometry articles.

What are the Similarity Criteria? Exploring the Fundamentals of Shape Proportions in Geometry

What are the Similarity Criteria? Exploring the Fundamentals of Shape Proportions in Geometry

For triangles, if two triangles are similar, then their corresponding angles are equal, and their corresponding sides are in proportion. Examples Practice Questions Triangle GHI has sides of lengths \(7 \text{ cm}\), \(24 \text{ cm}\), and \(25 \text{ cm}\). Triangle \(JKL\) has sides of lengths \(14 \text{ cm}\), \(48 \text{ cm}\), and \(50 \text{ cm}\). […]

How to Perform Similarity Transformations: Step-by-Step Guide

How to Perform Similarity Transformations: Step-by-Step Guide

Center of Dilation: A fixed point in the plane. Scale Factor: The ratio by which a figure is enlarged or reduced. A scale factor greater than \(1\) results in an enlargement, while a scale factor between \(0\) and \(1\) results in a reduction. The formula for dilation from a center point \((x, y)\) with a […]

The Art of Partitioning a Line Segment!

The Art of Partitioning a Line Segment!

Unlocking the Secrets of Similar Polygons: Shape, Size, and Proportions!

Unlocking the Secrets of Similar Polygons: Shape, Size, and Proportions!

How Right Triangles Demonstrate Similarity

How Right Triangles Demonstrate Similarity

HL Congruence: The Special Case of Right Triangles

HL Congruence: The Special Case of Right Triangles

What is the Relationship between Dilations and Angles in Geometry

What is the Relationship between Dilations and Angles in Geometry

Exploring the World of Geometry: The Intricacies of Similarity

Exploring the World of Geometry: The Intricacies of Similarity

How to Understand Dilations: A Step-by-Step Guide

How to Understand Dilations: A Step-by-Step Guide

The Centroid and Its Role in Triangles

The Centroid and Its Role in Triangles

The Wonderful World of the Triangle Inequality Theorem

The Wonderful World of the Triangle Inequality Theorem

What is the Median of a Triangle?

What is the Median of a Triangle?