Question

We are given that ABCD is a square. If we consider triangle AEB and triangle AED, we see that side is congruent to side AD because sides of a square are congruent. We know that side AE is congruent to side AE by using the . Finally, we know that side DE is congruent to side because the diagonals of a square bisect each other. Therefore, triangle AEB is congruent to triangle AED by congruency. We see that angle AED and angle AEB are a linear pair, and congruent by CPCTC. Thus, the measure of these angles will be 90°, and diagonal AC is perpendicular to diagonal BD by the .

Answer 1

Answer:

1)AB

2)Reflexive property

3)BE

4)SSS

5) definition of perpendicularity.

Step-by-step explanation:

In this question actually we have to fill the blanks and complete the sentence where it is looking like incomplete.

So , at first  (1) we see that it is given that if we consider triangle AEB and Triangle AED we see that side AB side is congruent to side AD.

(2) We know that side AE is congruent to side AE by using the Reflexive property

(3)and side DE is congruent to side BE because the diagonals of a square bisect each other.

(4)Therefor triangle AEB is congruent to trianlgle AED by SSS congruency.

(5) so by CPCT , the angle AED and AEB are a linear pair and the measure of these angle will be 90 because ABCD is a square and thus diagonal AC is perpendicular to diagonal BD by the definition of perpendicularity.

Answer 2

Answer:

1)AB

2)Reflexive property

3)BE

4)SSS

5) definition of perpendicularity.

Step-by-step explanation: