Rebecca is given two triangles, AABC and A DEF. At first glance, she thinks that the triangles are congruent. How can she use what she knows about
rotations and triangle congruence to prove the triangle congruence?
D
30°
3 cm
65°
30°
B
3 cm
65°
LU
O A. She can rotate AABC 90° and then compare the angles and sides.
She will see that the triangles are congruent by the Angle Side
Angle theorem.
B. She can rotate ADEF 90° and then compare the angles and
sides. She will see that the triangles are congruent by the Angle
Side Angle theorem.
O C. She can rotate AABC 90° and then compare the angles and sides.
She will see that the triangles are congruent by the Side Side Side
theorem.
O D. She can rotate ADEF 90° and then compare the angles and
sides. She will see that the triangles are congruent by the Side
Side Angle theorem.

A. She can rotate AABC 90° and then compare the angles and sides.

She will see that the triangles are congruent by the Angle Side Angle theorem.

Step-by-step explanation:

Congruent is a term that implies that a thing is identical to another (having the same shape and size). For congruent triangles, they have the same shape and size; they can be tilted or rotated to be at different angles but they have the same shape and size irrespective.

The following information were given:

D - 30°, 3 cm, 65°

B - 30°, 3 cm, 65°

From this information, we can conclude that the triangles are congruent based on the Angle Side Angle theorem. However, because the diagram was not included, we cannot conclusively say which is the more accurate answer between Options A & B.

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5

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