Question

1-4 lesson quiz (lms graded)
select all of the conjectures you could make based on the table.

number of sides	sum of all interior angles
4	360°
5	540°
6	720°

□ a the sum of the interior angles of a trapezoid equals 360°.
□ b the sum of the interior angles of a regular hexagon is 540°.
□ c the sum of the interior angles of a rhombus is equal to the sum of the interior angles of a square.
□ d the sum of the interior angles of a polygon increases by 180° with each additional side.
□ e doubling the number of sides of a polygon doubles the sum of the interior angles.

Explanation:

• A trapezoid has 4 sides. From the table, sum of interior - angles of a 4 - sided polygon is 360°, so A is correct.
• A regular hexagon has 6 sides. Sum of interior angles of a 6 - sided polygon is 720°, not 540°, so B is incorrect.
• A rhombus and a square both have 4 sides. So sum of interior angles for both is 360°, C is correct.
• When number of sides increases from 3 to 4, sum increases from 180° to 360° (by 180°), from 4 to 5, from 360° to 540° (by 180°), etc. So D is correct.
• For example, 3 sides has sum 180°, 6 sides has sum 720°, doubling sides from 3 to 6 does not double the sum from 180° to 360°. So E is incorrect.

Answer:

A. The sum of the interior angles of a trapezoid equals 360°.
C. The sum of the interior angles of a rhombus is equal to the sum of the interior angles of a square.
D. The sum of the interior angles of a polygon increases by 180° with each additional side.