Unique triangles

Front

What is a unique triangle?

Back

A unique triangle is a triangle that can be formed in only one way given certain conditions, such as specific side lengths or angle measures.

Tags

CCSS.8.G.A.2

Front

If angle A is 45 degrees and angle B is 45 degrees, how many unique triangles can be formed?

Back

Only 1 unique triangle.

Tags

CCSS.8.G.A.2

Front

Can a triangle exist with angle measures of 100°, 100°, and 50°?

Back

No triangle exists with the given angle measures.

Tags

CCSS.7.G.A.2

Front

How many triangles can be created when you know all three angles?

Back

Multiple triangles can be created.

Tags

CCSS.8.G.A.2

Front

What is the relationship between angles in a triangle?

Back

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

Tags

CCSS.8.G.A.5

Front

If you know two angles and one included side, how many unique triangles can be formed?

Back

Only 1 unique triangle.

Tags

CCSS.7.G.A.2

Front

What is the Triangle Sum Theorem?

Back

The Triangle Sum Theorem states that the sum of the interior angles of a triangle is always 180 degrees.

Tags

CCSS.8.G.A.5

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning their corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

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, the triangles are similar.

Tags

CCSS.HSG.SRT.A.2

Front

What is the Side-Angle-Side (SAS) criterion for triangle congruence?

Back

If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5