Question

from unit 1, lesson 7 select all true statements about regular polygons. a all angles are right angles. b all angles are congruent. c all side lengths are equal. d there are exactly four sides. e there are at least three sides.

Explanation:

Step1: Recall regular polygon definition

A regular polygon has all - congruent sides and all - congruent angles. Also, a polygon is a closed - figure with at least 3 sides.

Step2: Analyze option A

Not all regular polygons have right - angles. For example, an equilateral triangle (a regular polygon) has 60 - degree angles. So, option A is false.

Step3: Analyze option B

By definition, all angles of a regular polygon are congruent. So, option B is true.

Step4: Analyze option C

By definition, all side - lengths of a regular polygon are equal. So, option C is true.

Step5: Analyze option D

A regular polygon can have 3 sides (equilateral triangle), 5 sides (regular pentagon), etc. It does not have exactly 4 sides. So, option D is false.

Step6: Analyze option E

A polygon is a closed - figure made up of line segments. The minimum number of line segments to form a closed figure is 3. So, a regular polygon has at least 3 sides. Option E is true.

Answer:

B. All angles are congruent., C. All side lengths are equal., E. There are at least three sides.