Solving for Sides and Angles in Triangles Geometry

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CCSS.8.G.A.5

SPORTS The figure shows the position of three trees on one part of a disc golf course. At which tree position is the angle between the trees the greatest?

• Tree 1

• Tree 2

• Tree 3

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CCSS.HSG.CO.C.11

Tags

CCSS.8.G.A.5

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CCSS.8.G.A.5

What are the practical applications of the AA similarity theorem?

• Calculating the area of a circle

• Solving equations in algebra

• The practical applications of the AA similarity theorem include solving problems in geometry, such as determining the similarity of two triangles and finding unknown side lengths or angles.

• Determining the boiling point of a substance

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CCSS.HSG.SRT.A.2

Can you provide an example of how the AA similarity theorem is used to solve a problem?

• Using the Pythagorean theorem to find the measures of the corresponding sides

• Applying the Law of Sines to determine the unknown angles

• Using the AA similarity theorem to find the area of the triangles

• Identifying congruent angles in two triangles and using the proportionality of corresponding sides to solve for unknown measures.

Tags

CCSS.HSG.SRT.B.5

If two angles of one triangle are congruent to two angles of another triangle, then what can be said about the two triangles?

• The two triangles are parallel.

• The two triangles are similar.

• The two triangles are congruent.

• The two triangles are perpendicular.

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CCSS.HSG.CO.B.7

How can the AA similarity theorem be used to prove two triangles similar?

• By proving that the two triangles have the same area

• We can use the AA similarity theorem to prove two triangles similar by showing that two angles of one triangle are congruent to two angles of the other triangle.

• By demonstrating that the two triangles have the same perimeter

• By showing that two sides of one triangle are congruent to two sides of the other triangle

Tags

CCSS.HSG.SRT.B.5

In a triangle what is the line segment drawn from a vertex perpendicular to the opposite side (or an extension of the opposite side?

• Median of a Triangle

• Altitude of a Triangle

• Perpendicular Bisector of a side of a Triangle

• Angle Bisector

• Midpoint of a Line Segment

In a triangle what is the line segment drawn from a vertex to the midpoint of the opposite side?

• Median of a Triangle

• Altitude of a Triangle

• Perpendicular Bisector of a side of a Triangle

• Angle Bisector

• Midpoint of a Line Segment

Tags

CCSS.HSG.CO.C.10