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Which of the following(s) is true of a rectangle?

A.it is also a square
B.the sum of its angles measures is 360
C.it has four congruent angles
D.it has four congruent sides

User LConrad
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5.7k points

2 Answers

5 votes

Answer:

B and C are the correct answers

User CodingKiwi
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5.0k points
5 votes

Step-by-step explanation:

Let's take a look at all of our options.

A. it is also a square

  • A rectangle is NOT always a square because a square has congruent sides, so that means all four of its sides are always equal.
  • A rectangle can be a square but it can also not be a square, so therefore A cannot be an option because it is not always true about a rectangle.

B. the sum of its angle measures is 360

  • This is true because every quadrilateral's angle measures will add up to 360 degrees, no matter what. This is like how a triangle's angle measures always add up to 180 degrees.
  • B is an option because it is an ALWAYS true statement.

C. it has four congruent angles

  • A rectangle always has 90 degree angles, giving it its shape.
  • Since a rectangle always has the same-degree angles, that means that it DOES have four congruent angles.
  • C is also an option because it is always true.

D. it has four congruent sides

  • A rectangle does not ALWAYS have four congruent sides. Say for example a rectangle has a longer length than its width.
  • A square has four congruent sides, but a rectangle is not always a square, therefore this option is not applicable for a rectangle since it is not always true.

Answers:

B and C are always true of a rectangle.

User Sharief
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5.1k points