25.2k views
0 votes
All squares have 4 right angles. Dose that mean all regular polygons have 4 right angles? Explain.

HELP? 5th grade module 5 eureka math 2!

1 Answer

1 vote

Answer: NO

Explanation:

Regular triangles and regular pentagons are both types of regular polygons, and they all don't have right angles.

A quadrilateral is a polygon with four sides and four vertices whose interior angles add up to 360 degrees.

Trapezoid: A quadrilateral with only one pair of parallel sides. The name of this quadrilateral has different names in British English and American English. British English calls it Trapezium, while North American English calls it trapezoid.

Isosceles trapezoid: A pair of opposite sides are parallel, and the other two sides are equal but not parallel. An isosceles trapezoid is a trapezoid, a trapezoid with a higher degree of symmetry.

Parallelogram: A quadrilateral with two pairs of parallel sides or a quadrilateral with two pairs of parallel sides. The equivalent condition is that two opposite sides are of equal length, two opposite angles are equal, or that the diagonals bisect each other. Squares, rectangles, rhombuses, and rhombuses are all parallelograms.

Diamond: There are two definitions in the mainstream literature. A coarser definition is that four sides are equal, under which a square is a type of rhombus. The other definition is more rigorous. A rhombus has four equal sides, but the angles are not right angles. A square under this definition is not a kind of rhombus.

Rectangle: A quadrilateral whose four corners are right angles. The equivalent condition is that the diagonals bisect each other and are of equal length. Squares and rectangles are types of rectangles.

Rectangle: A quadrilateral whose corners are right angles but whose sides are not all equal [1].

Square: A quadrilateral with four equal sides and four right angles [1]. Since its four corners are all equal angles, and the sum of the interior angles of a convex quadrilateral is 360 degrees, its four corners are all right angles. The equivalent condition is that the opposite sides are parallel and equal in length, and the diagonals are perpendicular to each other and bisect each other and are equal in length.

...............................................................................................................................................

User MihaiV
by
7.6k points

Related questions

asked Dec 28, 2024 189k views
Merkuro asked Dec 28, 2024
by Merkuro
8.0k points
1 answer
3 votes
189k views
asked Dec 26, 2021 32.6k views
Assaf Levy asked Dec 26, 2021
by Assaf Levy
7.6k points
2 answers
4 votes
32.6k views