Respuesta :

Banabanana
a. ∠BEC = 90°, so CD is the perpendicular of AB   
b. AE = EB ⇒ EB = AB/2, so EB = 5
c. AE = EB  ⇒ AE = [tex] \frac{1}{2} [/tex] AB
d. AE = EB  ⇒ E is the midpoint of AB
e. CD is the perpendicular of AB, so ∠BED = 90°
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Answer:

Step-by-step explanation:

From the figure, it is given that AE=EB and m∠E=90°.

Now,

1. From the figure, it can be seen that the angle E is forming a right angle on the line AB, thus CD is the perpendicular of AB.

2. From the figure, we can see that AE=EB, therefore if AB=10, then [tex]EB=\frac{1}{2}AB[/tex], therefore  [tex]EB=\frac{1}{2}(10)[/tex]⇒[tex]EB=5[/tex].

3. Also, it can be seen that [tex]AE=\frac{1}{2}AB[/tex].

4.  Now, AE is equal to EB, which implies that E is the midpoint of AB.

5. Also, CD is the perpendicular of AB, therefore ∠BED = 90°.

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