Question

Last math problem
Look at triangle TXA and triangle T' * X' shown below.

TA

Which of these can be used to prove that triangle TXA- triangle T' * X' A^ prime prime

A. triangle TXA is rotated 270 counterclockwise about the origin and then dilated by a scale factor of 2 about the origin to obtain triangle T^ * X' * A'

OB. ATXA is rotated 270 deg counterclockwise about the origin and then dilated by a scale factor of 1/2 about the origin to obtain triangle T' * X' * A' .

C. triangle TXA is rotated 90 counterclockwise about the origin and then dilated by a scale factor of 1/2 about the origin to obtain triangle T^ * X' * A'

OD. triangle TXA is rotated 90 deg counterclockwise about the origin and then dilated by a scale factor of 2 about the origin to obtain triangle T' * X' * A' .

Answer 1

To prove that triangle TXA is congruent to triangle T' * X' * A', we need to use the congruence transformation, which consists of a rotation and a dilation. Among the given options, the correct one is option B.

Option B states that triangle TXA is rotated 270 degrees counterclockwise about the origin and then dilated by a scale factor of 1/2 about the origin to obtain triangle T' * X' * A'. This transformation preserves the shape and size of the triangles, which is what we need to show that they are congruent. Therefore, we can use option B to prove that triangle TXA is congruent to triangle T' * X' * A'.