Similar Triangles

Front

What is the definition of similar triangles?

Back

Triangles that have the same shape but not necessarily the same size; their corresponding angles are equal and their corresponding sides are proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What does the AA similarity criterion state?

Back

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

Tags

CCSS.HSG.SRT.A.2

Front

What does the SSS similarity criterion state?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What does the SAS similarity criterion state?

Back

If two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

What is the relationship between corresponding angles in similar triangles?

Back

Corresponding angles in similar triangles are equal.

Tags

CCSS.HSG.SRT.A.2

Front

What is the relationship between corresponding sides in similar triangles?

Back

Corresponding sides in similar triangles are proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

If ΔABC ∼ ΔDEF, what can we say about their angles?

Back

Angle A = Angle D, Angle B = Angle E, Angle C = Angle F.

Tags

CCSS.HSG.SRT.A.2

Front

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

Back

Yes, because the sides are in proportion (3:6 = 1:2, 4:8 = 1:2, 5:10 = 1:2).

Tags

CCSS.HSG.SRT.A.2

Front

What is the significance of the term 'proportional' in the context of similar triangles?

Back

Proportional means that the ratios of the lengths of corresponding sides are equal.

Tags

CCSS.HSG.SRT.A.2

Front

What is an example of a real-world application of similar triangles?

Back

Using similar triangles to measure the height of a tree by creating a triangle with a known height and distance.

Tags

CCSS.HSG.SRT.B.5