Similar Triangles - Angles

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 in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

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

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

How can you determine if two triangles are similar using corresponding angles?

Back

If all pairs of corresponding angles in two triangles are congruent, then the triangles are similar.

Tags

CCSS.HSG.SRT.A.2

Front

What is the sum of the angles in a triangle?

Back

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

Tags

CCSS.8.G.A.5

Front

What does it mean if two triangles are not similar?

Back

It means that either their corresponding angles are not equal or their corresponding sides are not in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

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

Can two triangles be similar if only one pair of angles is congruent?

Back

No, two triangles cannot be similar if only one pair of angles is congruent; at least two pairs of angles must be congruent.

Tags

CCSS.HSG.SRT.A.2

Front

What is the significance of congruent angles in determining triangle similarity?

Back

Congruent angles indicate that the triangles have the same shape, which is essential for establishing similarity.

Tags

CCSS.HSG.SRT.A.2

Front

What is the criteria for triangle similarity based on side lengths?

Back

If the lengths of corresponding sides of two triangles are in proportion, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

How do you check if the angles of a triangle add up to 180 degrees?

Back

By measuring each angle and adding their measures together to see if the total equals 180 degrees.

Tags

CCSS.8.G.A.5