CPM Geometry Ch 5 Math Notes 5.3.2-5.3.5 Flashcard Practice

Front

What is the Law of Cosines used for?

Back

The Law of Cosines is used to find a side length or angle in any triangle when you know either two sides and the included angle or all three sides.

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

What do you need to apply the Law of Cosines?

Back

You need either two side lengths and the angle between them or three side lengths.

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

True or False: The Law of Sines can only be applied to right triangles.

Back

False. The Law of Sines can be applied to any triangle.

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

What is the relationship described by the Law of Sines?

Back

The Law of Sines states that the ratio of a side length to the sine of its opposite angle is constant for all sides and angles in a triangle.

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

True or False: The Law of Cosines can only be applied to right triangles.

Back

False. The Law of Cosines can be applied to any triangle.

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

What is the formula for the Law of Cosines?

Back

c² = a² + b² - 2ab * cos(C), where c is the side opposite angle C.

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

What is the formula for the Law of Sines?

Back

a/sin(A) = b/sin(B) = c/sin(C), where a, b, and c are the sides opposite angles A, B, and C respectively.

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

What does it mean for triangles to be similar?

Back

Triangles are similar if 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 does it mean for triangles to be congruent?

Back

Triangles are congruent if they have the same size and shape, meaning all corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

What is an included angle in a triangle?

Back

An included angle is the angle formed between two sides of a triangle.