Solving Similar Triangle Equations

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

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.

Tags

CCSS.HSG.CO.B.7

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

A dilation is a transformation that stretches or shrinks a figure from a given point. Dilations result in _______________ figures. (Refer to "Dilation Notes & Examples" on or around page 92.)

• square

• triangle

• congruent

• similar

Tags

CCSS.8.G.A.3

What is the size of angle x and the length of sides y and z?

• x = 63, y = 2.5, z = 9.6

• x = 63, y = 6.4, z = 3.75

• x = 97, y = 6.4, z = 9.6

• x = 97, y = 2.5, z = 3.75

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

• x=9

• x=3

• x=7

• x=12

Tags

CCSS.HSG.SRT.A.2

Are triangle ABC and triangle DEF similar?

• No

• Yes

Tags

CCSS.HSG.SRT.A.2

<DBE = 90*; <BED = 75*. What is the measure of <EDB

• 15*

• 25*

• 35*

• 45*

Tags

CCSS.HSG.SRT.B.4

The triangles are similar, solve for the question mark.

Mathematical Equivalence

ON

Tags

CCSS.HSG.SRT.A.2

To measure the distance across a pond, a surveyor locates points A, B, C, D, and E as shown.  What is AB to the nearest meter?

Mathematical Equivalence

ON

Tags

CCSS.HSG.SRT.B.4