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State what additional information is required in order to know that the triangles are congruent

for the reason given.
Only for 5 and 6

State what additional information is required in order to know that the triangles-example-1

1 Answer

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Answer:

Explanation:

5). Reason for the congruence is given as SSS.

"Property SSS for the congruence of two triangles states that all three sides of the triangles must be congruent."

In the given triangles ΔMLN and ΔULN,

ML ≅ LU [given]

NL ≅ NL [Reflexive property]

To fulfill SSS property third sides of the given triangles should be given as congruent.

Therefore, additional information required will be MN ≅ NU

6). SAS property of congruence states that "two sides and included angle between these sides of two triangles must be congruent"

From the given triangles ΔPWS and ΔVXW,

PW ≅ VW [Given]

∠PWS ≅ ∠XWV [Vertically opposite angles]

Therefore, to fulfill the property of SAS additional information required will be,

SW ≅ WV

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