Quadrilateral ABCD has congruent angles and opposite sides that are congruent. What classification can be given to ABCD? (5 poin

Question

zubka84 [21]

3 years ago

15

Quadrilateral ABCD has congruent angles and opposite sides that are congruent. What classification can be given to ABCD? (5 poin

ts)
Parallelogram
Rectangle
Rhombus
Square

Mathematics

2 answers:

fomenos · Answer 1 · 2021-12-20T13:50:58+03:00

fomenos3 years ago

8 0

Answer:

rectangle

Step-by-step explanation:

A rectangle must have four congruent angles that all measure 90 degrees. It must also have four sides, and the opposite sides must be congruent.

fgiga [73] · Answer 2 · 2021-12-20T12:31:54+03:00

All angles are congruent.
The sum of the measures of the interior angles of a quadrilateral is 360.
Since all angles are congruent, then each angle must measure 360/4 = 90.
Every angle measures 90 degrees.
The quadrilateral must be a rectangle.
Is the quadrilateral also a square?
We are told "<span>opposite sides that are congruent." Since only opposites sides are congruent, and not all sides are congruent, then it is a rectangle, but not necessarily a square.

Answer: B. rectangle
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