Search the California Content Standards

Cluster:
Apply trigonometry to general triangles.

Standard:
(+) Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and non-right triangles (e.g., surveying problems, resultant forces).

Cluster:
Understand similarity in terms of similarity transformations.

Standard:
Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides.

Cluster:
Understand similarity in terms of similarity transformations.

Standard:
Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides.

Cluster:
Understand similarity in terms of similarity transformations.

Standard:
Use the properties of similarity transformations to establish the Angle-Angle (AA) criterion for two triangles to be similar.

Cluster:
Understand similarity in terms of similarity transformations.

Standard:
Use the properties of similarity transformations to establish the Angle-Angle (AA) criterion for two triangles to be similar.

Cluster:
Prove theorems involving similarity. [Focus on validity of underlying reasoning while using variety of formats.]

Standard:
Prove theorems about triangles. Theorems include: a line parallel to one side of a triangle divides the other two proportionally and conversely; the Pythagorean Theorem proved using triangle similarity.

Cluster:
Prove theorems involving similarity.

Standard:
Prove theorems about triangles. Theorems include: a line parallel to one side of a triangle divides the other two proportionally and conversely; the Pythagorean Theorem proved using triangle similarity.

Cluster:
Prove theorems involving similarity.

Standard:
Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.

Cluster:
Prove theorems involving similarity. [Focus on validity of underlying reasoning while using variety of formats.]

Standard:
Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.

Cluster:
Define trigonometric ratios and solve problems involving right triangles.

Standard:
Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.