Embedded Files
MATHEMATICS OBJECTIVE
Students will be able to:
Determine triangle similarity by comparing the angle measures of the triangles.
Solve algebraic problems involving similar triangles.
ESSENTIAL UNDERSTANDING
You can conclude that two triangles are similar by showing that two angles of one triangle are congruent to two angles of the other triangle using the Angle-Angle Criterion. Triangle similarity can be used to determine unknown angle measures.
I can determine similar triangles by comparing angle measures.
I can solve algebraic problems about similar triangles’ angles.
ANGLE-ANGLE (AA) CRITERION
The Angle-Angle (AA) Criterion states that if two angles in one triangle
are congruent to two angles in another triangle, the two triangles are
similar triangles.
∠A ≅ ∠D and ∠B ≅ ∠E, so △ABC ∼ △DEF.
DIAGRAM DESCRIPTION
Two triangles, ABC and DEF, are shown side by side. Matching angle marks
indicate that angle A corresponds to angle D and angle B corresponds to
angle E. This establishes similarity by the AA Criterion. Their remaining
angles C and F correspond as well.
Page updated
Google Sites
Report abuse