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PLEASE HELP! What is the congruence correspondence, if any, that will prove the given triangles congruent?
A. SAS
B. AAS
C. ASA
D. HL

PLEASE HELP What is the congruence correspondence if any that will prove the given triangles congruent A SAS B AAS C ASA D HL class=

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mardie
Answer is C hope this helps

Answer:

The correct option is C.

Step-by-step explanation:

Given information: m∠TPB = ∠YSB, PB=SP

In two lines intersect each other then vertical opposite angles are congruent.

In triangle TPB and triangle YSB,

[tex]\angle TPB\cong\angle YSB[/tex]           (Given)

[tex]PB=SP[/tex]                     (Given)          

[tex]\angle TBP\cong\angle YBS[/tex]           (Vertical opposite angle)

Two angles and their included line are congruent.

By ASA postulate,

[tex]\triangle TPB\cong\triangle YSB[/tex]

Therefore the correct option is C.