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Sagot :
Answer:
True☆The diagonals are congruent.
Not always X All sides are congruent. (Only for rectangles that are also rhombus = a square!)
Not always X The diagonals of a rectangle are perpendicular to each other. (Counterexample: draw a really long rectangle with a tiny, tiny width...the x made by the diagonals is clearly not perpendicular!)
True☆ The opposite sides are parallel. (Bc rectangles are parallelograms, part of the definition)
True☆All angles are congruent. (All four angles are right angles--part of the definition)
The true statement about rectangle are:
- The diagonals are congruent.
- The opposite sides are parallel.
- All angles are congruent.
What is rectangle?
"It is a quadrilateral of which all angles measure 90° and opposite sides are parallel and equal in length."
What is diagonal?
"It is a straight line connecting the opposite vertex of a polygon."
For given question,
We need to find the correct statement about rectangle.
We know, the opposite sides of the rectangle are equal and all angles measure 90°
So, all angles of rectangle are congruent.
And the opposite sides are parallel.
The diagonals would be the hypotenuse of the right triangles.
And by Pythagoras theorem, both the diagonals would be equal in length.
So, the diagonals of rectangle are congruent.
The diagonals of a rectangle bisect each other but not at 90 degrees angle.
Therefore, the true statement about rectangle are:
- The diagonals are congruent.
- The opposite sides are parallel.
- All angles are congruent.
Learn more about rectangle here:
https://brainly.com/question/15019502
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