Geometry Chapter 3 Vocabulary Quiz

Triangle Similarity

• Angle Angle Triangle Similarity (AA ~) states that if two angles in one triangle are congruent to two angles in another triangle, they are similar (e.g., ΔABC ~ ΔA'B'C').
• Side Angle Side Triangle Similarity (SAS ~) requires two pairs of proportional sides and one congruent included angle for triangles to be similar.
• Side Side Side Triangle Similarity (SSS ~) asserts that if all three pairs of corresponding sides in triangles are proportional, then the triangles are similar.

Congruence and Similarity

• Congruent shapes have identical shapes and sizes, referred to as having a scale factor of 1.
• Similar shapes share the same shape but can differ in size, with corresponding angles being congruent and sides being proportional.

Proportions and Ratios

• A Proportional Equation denotes two equal ratios, essential for solving proportional problems.
• A Ratio compares two quantities via division, expressible as a fraction or using a colon (e.g., 5:11).

Transformations

• A Translation moves a figure to a new location while maintaining its size, shape, and orientation.
• Similarity Transformations include rotations, reflections, translations, and dilations, preserving shape but not necessarily size.
• Dilation involves proportionally scaling a figure from a specific point known as the point of dilation.

Geometric Elements

• Corresponding Sides are sides in different figures that match images post transformations; congruent figures have congruent corresponding sides.
• A Vertex is where two or more line segments or rays intersect, forming corners in polygons or edges in polyhedra.

Measurements

• Perimeter is the total distance around a flat shape, calculated by summing the lengths of its sides; for circles, it's termed circumference.
• The Hypotenuse is the longest side of a right triangle, always opposite the right angle.

Visual Tools

• A Flowchart illustrates the logical progression toward a conclusion, using ovals and arrows to represent reasoning in proofs.
• A Similarity Statement identifies the corresponding sides and angles of similar figures through the order of letters in their names.

Definitions Overview

• Angle is formed by two rays at a common endpoint, often represented in geometric figures by segments meeting at a point.
• Relationship describes the way two geometric objects, such as line segments or triangles, are interconnected.

Test your knowledge of key vocabulary from Geometry Chapter 3, focusing on angle-angle similarity in triangles. This quiz includes definitions and examples to help reinforce your understanding of triangle similarity concepts.