Unique Triangles

Front

What is a unique triangle?

Back

A unique triangle is a triangle that can be formed with a specific set of measurements (angles or sides) that does not allow for any other triangle to be created with those same measurements.

Tags

CCSS.2.G.A.1

Front

How many triangles can be formed with three angles that add up to 180 degrees?

Back

Only 1 unique triangle can be formed.

Tags

CCSS.2.G.A.1

Front

If two angles of a triangle are known, how can the third angle be determined?

Back

The third angle can be found by subtracting the sum of the known angles from 180 degrees.

Tags

CCSS.8.G.A.5

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

Can a triangle be formed with angles measuring 80°, 50°, and 50°?

Back

Yes, exactly one unique triangle can be formed with these angles.

Tags

CCSS.7.G.A.2

Front

What is the relationship between the sides and angles of a triangle?

Back

In a triangle, the largest angle is opposite the longest side, and the smallest angle is opposite the shortest side.

Tags

CCSS.HSG.CO.C.10

Front

How many triangles can be formed with side lengths of 3 cm, 4 cm, and 5 cm?

Back

Only 1 unique triangle can be formed.

Tags

CCSS.2.G.A.1

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 difference between acute, obtuse, and right triangles?

Back

Acute triangles have all angles less than 90 degrees, obtuse triangles have one angle greater than 90 degrees, and right triangles have one angle equal to 90 degrees.

Tags

CCSS.4.G.A.2

Front

How can you determine if three side lengths can form a triangle?

Back

The triangle inequality theorem states that the sum of the lengths of any two sides must be greater than the length of the third side.