Similar Triangles

Front

What are similar triangles?

Back

Triangles that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the Angle-Angle (AA) criterion for triangle similarity?

Back

If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

What are corresponding angles?

Back

Angles that are in the same position at each intersection where a straight line crosses two others.

Tags

CCSS.8.G.A.5

Front

What is the relationship between the sides of similar triangles?

Back

The lengths of corresponding sides of similar triangles are proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the definition of alternate interior angles?

Back

Angles that are on opposite sides of a transversal and inside the two lines it intersects.

Tags

CCSS.8.G.A.5

Front

What is the definition of vertical angles?

Back

Angles that are opposite each other when two lines intersect. They are always equal.

Tags

CCSS.7.G.B.5

Front

If triangle ABC is similar to triangle DEF, what can we say about their angles?

Back

Angle A = Angle D, Angle B = Angle E, Angle C = Angle F.

Tags

CCSS.HSG.SRT.A.2

Front

How do you find the height of an object using similar triangles?

Back

Set up a proportion using the heights and shadows of the objects, then solve for the unknown height.

Front

What is the definition of supplementary angles?

Back

Two angles that add up to 180 degrees.

Tags

CCSS.7.G.B.5

Front

What is the significance of the sum of angles in a triangle?

Back

The sum of the interior angles in any triangle is always 180 degrees.

Tags

CCSS.8.G.A.5