Geometry: Similar Triangles and Theorems

Vocabulary flashcards covering methods for proving triangle similarity, key geometric theorems, algebraic methods, and problem types from the lecture review sheet.

SSS~

Side-Side-Side similarity criterion, a method used to prove triangles are similar when all three pairs of corresponding sides are proportional.

SAS~

Side-Angle-Side similarity criterion, a method used to prove triangles are similar when two pairs of corresponding sides are proportional and their included angles are congruent.

AA~

Angle-Angle similarity criterion, a method used to prove triangles are similar when two pairs of corresponding angles are congruent.

Triangle Proportionality Theorem

A theorem applied to solve problems resulting in linear equations, quadratic equations, and fill-in-the-blank geometric proofs.

Equivalent Fractions (Adding One to Both Sides)

An algebraic technique applied to proportional fractions by adding $1$ to both sides of an equation.

Delta Math Shadow Word Problem

A word problem application involving a man and a tree shadow solved using proportions from similar triangles.

Dilation

A geometric transformation topic involving questions about resizing figures proportionally.

Midsegment Theorem

A theorem used in geometric applications concerning a segment connecting the midpoints of two sides of a triangle.

Angle Bisector Theorem

A theorem applied to solve side lengths in a triangle where a ray or line segment bisects an interior angle.