Question

Based on the picture alone, determine if each statement is true or false: justify your statement.

Answer 1

4: <BEC and <ECB are supplementary.

False, <BEC and <ECB are angles of triangle BCE and sum of two angles of a triangle can't be equal to 180 ( two angles of a triangle can't be supplementary).

5: C is the midpoint of BD.

False: It's not given C is the mid-point. So, we can't assume C is a mid point.

6: <BCE and < ECD are a linear pair.

True, because <BCE and < ECD are two angles on a common point on a line.

7: <ABE and <EBC are complementary.

True, because <ABC is a right angle and <ABE + <EBC = <ABC.