Answered

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List every way possible to prove that two triangles are congruent (ASA, SSS, etc.,), including a sketch of each scenario, with the proper marks to show congruence.

Sagot :

Given

triangles

Find

List every way possible to prove that two triangles are congruent

Explanation

1) SSS congruence (Side - side - side)

when all corresponding sides of the two triangles are equal.

then ,

[tex]\Delta ABC\cong\Delta PQR[/tex]

b) SAS congruence (Side - Angle - Side)

when two sides and one angle are equal.

then ,

[tex]\Delta ABC\cong\Delta PQR[/tex]

c) ASA congruence (Angle - side - angle)

when two angles and one side are equal

[tex]\Delta ABC\cong\Delta PQR[/tex]

d) RHS (right - hypotenuse - side)

in two right triangles when hypotenuse and one side are equal.

then ,

[tex]\Delta ABC\cong\Delta DEF[/tex]

Final Answer

Hence , there are four possible ways to prove the triangles are congruent.

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