Congruent Triangles Applications

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

What are the conditions for the AA similarity theorem to be applicable?

• The triangles have equal side lengths

• The triangles have a common vertex

• The triangles are both equilateral

• Two angles of one triangle are congruent to two angles of another triangle.

Tags

CCSS.HSG.SRT.A.2

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.A.2

Which angle corresponds with ∠X?

• ∠N

• ∠W

• ∠E

• ∠Y

Tags

CCSS.HSG.SRT.A.2

If ∆LMK ≅ ∆LMT, then ∠K ≅ (a)  

• T

• ∠T

• ∠M

• ∠L

Tags

CCSS.HSG.CO.B.7

Are the following similar? Why or why not?

• Yes. All pairs of corresponding angles are congruent.

• No, the corresponding angles are not equal.

• No, the ratios of the corresponding sides are not equal.

Tags

CCSS.HSG.SRT.A.2

Are these triangles congruent?

• Yes, by ASA

• Yes, by SAS

• Yes, by AAS

• No, this is the SSA one!!

Tags

CCSS.HSG.SRT.B.5

Are these triangles congruent?

• Yes, by AAS

• Yes, by SAS

• Yes, by ASA

• No, this is the SSA one!!

Tags

CCSS.HSG.SRT.B.5

Are these triangles congruent?

• Yes, by AAS

• Yes, by SAS

• Yes, by ASA

• No, this is the SSA one!!

Tags

CCSS.HSG.CO.C.11

Are these triangles congruent?

• Yes, by SAS

• Yes, by AAS

• Yes, by HL

• No, this is the SSA one!!

Tags

CCSS.HSG.SRT.B.5