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Yanka [14]
2 years ago
8

Triangle BAD is a rotation of triangle DCB around point E by 180 degrees.

Mathematics
1 answer:
Andrews [41]2 years ago
5 0

Taking point <em>Z </em> as the origin, the coordinates of the points on ΔBAD are

given by changing the sign of the coordinates of points in ΔDCB.

  • The angle that is congruent to ∠DBA is; <u>D. ∠BDC</u>

Reasons:

The given parameters are;

Triangle ΔBAD is the image of ΔDCB following a rotation of 180°.

Required:

The angle congruent to ∠DBA.

Solution:

Given that the rotation of triangle DCB is 180°, we have that the

coordinates of a point (x, y) in ΔDCB is (-x, -y) in ΔDBA.

Therefore, side DC is parallel to side AB

Which gives;

∠DBA is congruent to ∠BDC by alternate interior angles theorem.

∠DBA ≅ ∠BDC

The angle that is congruent to ∠DBA is; option <u>D. ∠BDC</u>

<u />

Learn more about rotation transformation here:

brainly.com/question/4738741

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