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Match each set of conditions with the corresponding relationship between AABC and AXYZ and the criterion (if any) that proves the relationship.
AB = XY, BC = YZ, and angle B
is congruent to angle Y.
AABC and AXYZ are congruent by
the SSS criterion
AB = XY, and angles A and B are
congruent to angles X and Y
respectively
AABC and AXYZ are not
necessarily congruent.
Angles A, B, and Care congruent
to angles X, Y, and Z, respectively
AABC and AXYZ are congruent by
the SAS criterion
AB = XY, BC = YZ, and CA = ZX
AABC and AXYZ are congruent by
the ASA criterion.

Respuesta :

devishri1977

Answer:

Step-by-step explanation:

1)AB = XY, BC = YZ, and angle B  is congruent to angle Y

Answer:  ΔABC and ΔXYZ are congruent by  the SAS criterion

2)AB = XY; angles A and B are  congruent to angles X and Y  respectively.

Answer: ΔABC and ΔXYZ are congruent by  the ASA criterion.

3) AB = XY, BC = YZ, and CA = ZX

Answer: ΔABC and ΔXYZ are congruent by  the SSS criterion.

4)Angles A, B, and Care congruent  to angles X, Y, and Z, respectively.

Answer: ΔABC and ΔXYZ are not necessarily congruent.

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