September 26th Flashcardziz Triangle Similarity Postulates

Front

What does the SSS similarity postulate state?

Back

The SSS (Side-Side-Side) similarity postulate states that if the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

What does the SAS similarity postulate state?

Back

The SAS (Side-Angle-Side) similarity postulate states that if two sides of one triangle are proportional to two sides of another triangle and the included angles are equal, then the triangles are similar.

Front

What does the AA similarity postulate state?

Back

The AA (Angle-Angle) similarity postulate states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

How can you determine if triangles are similar using the SSS postulate?

Back

To determine if triangles are similar using the SSS postulate, check if the ratios of the lengths of corresponding sides are equal.

Front

How can you determine if triangles are similar using the SAS postulate?

Back

To determine if triangles are similar using the SAS postulate, check if two sides of one triangle are proportional to two sides of another triangle and the angles between those sides are equal.

Front

How can you determine if triangles are similar using the AA postulate?

Back

To determine if triangles are similar using the AA postulate, check if two angles of one triangle are equal to two angles of another triangle.

Front

What is the significance of proportional sides in triangle similarity?

Back

Proportional sides indicate that the triangles are similar, meaning they have the same shape but may differ in size.

Front

If triangle ABC is similar to triangle DEF, what can be said about their corresponding angles?

Back

If triangle ABC is similar to triangle DEF, then angle A = angle D, angle B = angle E, and angle C = angle F.

Front

If the sides of triangle XYZ are 3, 4, and 5, and the sides of triangle PQR are 6, 8, and 10, are the triangles similar?

Back

Yes, triangle XYZ and triangle PQR are similar because the sides are in proportion (3:6, 4:8, 5:10).

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.