Question

You are riding your bike and notice the square sign above. You mentally draw a straight line from point A to C. Describe the angle relationship between ∠DCA and ∠BCA. (2 points)

Answer 1

those angles are congruent

Explanation:

ABCD is a rhombus. The diagonals of a rhombus are angle bisectors. The two angles that result from bisecting angle C are congruent.

Answer 2

They are the same.

Explanation:

1. If you draw a straight line from point A to C you'd get two triangles, the ADC and the ABC.
2. These triangles are congruent because they have the criterion LAL ( AD = AB, DC = BC, ∠ADC = ∠ABC.
3. Now that these triangles are congruent we can conclude that the ∠DCA = ∠BCA