Question

Use the figure to complete each statement.

m CD is the _______of AB
AE = ½ ______
If AB = 18, then EB = _____
____ is the midpoint of _____

Answer 1

3)

a. m<BED = 90°

b. CD is the perpendicular bisector of AB

c. AE is 1/2 AB (AE = EB)

d. If AB = 18 , then EB = 18/2 = 9

e. E is the midpoint of AB

Hope it helps.

Answer 2

3.) 90°; perpendicular bisector; AB; 9; E, AB.

Explanation:

∠BEC and ∠BED form a linear pair. This means their sum is 180°. Since we know that m∠BEC = 90°, this means that

m∠BED = 180-90 = 90°.

Since AE = AB and CD intersects AB at right angles, this means that CD is the perpendicular bisector of AB.

This means that AE = 1/2AB.

If AB = 18, then AE = 1/2(18) = 9.