The given conclusion that ABCD is a square is not valid.
Given that, AC⊥BD and AC≅BD.
We need to determine if the given conclusion is valid.
<h3>What are the properties of squares?</h3>
A square is a closed figure with four equal sides and the interior angles of a square are equal to 90°. A square can have a wide range of properties. Some of the important properties of a square are given below.
- A square is a quadrilateral with 4 sides and 4 vertices.
- All four sides of the square are equal to each other.
- The opposite sides of a square are parallel to each other.
- The interior angle of a square at each vertex is 90°.
- The diagonals of a square bisect each other at 90°.
- The length of the diagonals is equal.
Given that, the diagonals of a quadrilateral are perpendicular to each other and the diagonals of a quadrilateral are equal.
Now, from the properties of a square, we understood that the diagonals of a square are perpendicular to each other and the diagonals of a square are equal.
So, the given quadrilateral can be a square. But only with these two properties can not conclude the quadrilateral is a square.
Therefore, the given conclusion that ABCD is a square is not valid.
To learn more about the properties of a square visit:
brainly.com/question/20377250.
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Step-by-step explanation:
<h3> new numbers are x+4 and x-1</h3>
so, x+4/x-1=11/16
16x+64=11x-11
16x-11x=-11-64
5x=-75
x = -15
also, x+1 = -14
Answer:
Hey mate.....
Step-by-step explanation:
This is ur answer.....
Step 1 :-
<h2> 18.12</h2><h2>+ <u>93.3</u></h2><h2> 111.42</h2>
Step 2 :-
<h2> 111.42 </h2><h2>- <u>16.7</u></h2><h2> 94.72</h2>
Hope it helps!
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Answer: a. ASA
Step-by-step explanation:
They are congruent by ASA beacuse 1 angle and 1 side are given to be congruent and there is also a pair of vertical angles that are congruent.