Solving similar triangles

Front

What is the Angle-Angle (AA) Similarity Postulate?

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

What does SSS stand for in triangle similarity?

Back

SSS stands for Side-Side-Side. If the corresponding sides of two triangles are in proportion, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

What does SAS stand for in triangle similarity?

Back

SAS stands for Side-Angle-Side. If two sides of one triangle are proportional to two sides of another triangle and the included angles are congruent, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

How can you determine if two triangles are similar using AA?

Back

If you can show that two angles of one triangle are equal to two angles of another triangle, the triangles are similar by AA.

Tags

CCSS.HSG.SRT.A.2

Front

What is the relationship between the sides of similar triangles?

Back

The ratios of the lengths of corresponding sides of similar triangles are equal.

Tags

CCSS.HSG.SRT.A.2

Front

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

Back

Angle A is equal to angle D, angle B is equal to angle E, and angle C is equal to angle F.

Tags

CCSS.HSG.SRT.A.2

Front

How do you find a missing side in similar triangles?

Back

Set up a proportion using the lengths of the corresponding sides of the similar triangles.

Tags

CCSS.HSG.SRT.A.2

Front

If triangle ABC has sides of lengths 3, 4, and 5, and triangle DEF has a side of length 6, what is the length of the corresponding side in triangle ABC?

Back

The corresponding side in triangle ABC is 4. (Using the ratio 3:4:5 and the known side 6.)

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the formula for finding the area of similar triangles?

Back

If the ratio of the sides of two similar triangles is a:b, then the ratio of their areas is a^2:b^2.

Front

What is the significance of the corresponding angles in similar triangles?

Back

Corresponding angles in similar triangles are always equal.

Tags

CCSS.HSG.SRT.A.2