Question

Question 4/11 i’ll mark brainliest

Answer 1

Answer:

The two pieces of information are needed to prove that line AB is a perpendicular bisector of line CD are:

m∠AGD = 90° ⇒ B

CG = GD ⇒ C

Step-by-step explanation:

If line m is the perpendicular bisector of line AB and intersect it at point D

• D is the mid-point of AB

• The angles around point D are right angles (the measure of each one 90°)

Let us use these facts to solve our question

Look at the given figure

∵ Line AB is the perpendicular bisector of line CD

∵ Line AB intersects line CD at point G

∴ G is the midpoint of CD

→ That means the point G divides the line CD into two equal parts

   CG and GD

∴ CG = GD

∵ AB ⊥ CD at G

∴ ∠AGD and ∠AGC are right angles

→ the measure of the right angle is 90°

∴ m∠AGD = m∠AGC = 90°

The two pieces of information are needed to prove that line AB is a perpendicular bisector of line CD are:

m∠AGD = 90° ⇒ B

CG = GD ⇒ C