Thank you for visiting We are given that ABCD is a square If we consider triangle AEB and triangle AED we see that side AB is congruent to side. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
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.
Thank you for reading the article We are given that ABCD is a square If we consider triangle AEB and triangle AED we see that side AB is congruent to side. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!
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Rewritten by : Jeany
This question is based on concept of geometry. Therefore, the answers are as follows:
1) AB 2) Reflexive property 3) BE 4) SSS
5) definition of perpendicularity.
Given that:
ABCD is a square.
In this question, we have to fill the blanks and complete the sentence where it is looking like incomplete.
According to question,
Therefore, at first It is given that, if we consider triangle AEB and Triangle AED, we observe 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 because sides of a square are congruent.
(3) Finally, we know that side DE is congruent to side BE because the diagonals of a square bisect each other.
(4)Therefor triangle AEB is congruent to triangle AED by SSS congruency.
(5) We see that angle AED and angle AEB are a linear pair, and congruent 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.
Therefore, the answers are as follows:
1)AB
2)Reflexive property
3)BE
4)SSS
5) definition of perpendicularity.
For more details, prefer this link:
https://brainly.com/question/11707949
