Every quadrilateral can be inscribed in a circle. True/ False **Question:**Every quadrilateral can be inscribed in a circle.- ( ) True- (•) False**Explanation:**In a cyclic quadrilateral (a quadrilateral that can be inscribed in a circle), the opposite angles must add up to 180 degrees. However, not all quadrilaterals have this property. Only those that satisfy this condition can be inscribed in a circle.For further understanding, consider the following types of quadrilaterals:1. **Square** - Can be inscribed in a circle.2. **Rectangle** - Can be inscribed in a circle.3. **Rhombus** - Cannot always be inscribed in a circle unless it is also a square.4. **Parallelogram** - Cannot always be inscribed in a circle unless it is a rectangle or square.5. **Trapezium** - Only certain trapeziums, such as isosceles trapeziums, might be inscribed in a circle.Thus, the answer is **False** because not all quadrilaterals meet the criteria to be inscribed in a circle.

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Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter3: Triangles

Section3.1: Congruent Triangles

Problem 6E: In a right triangle, the sides that form the right angle are the legs; the longest side opposite the...

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Every quadrilateral can be inscribed in a circle. True/ False

Two-dimensional figure measured in terms of radius. It is formed by a set of points that are at a constant or fixed distance from a fixed point in the center of the plane. The parts of the circle are circumference, radius, diameter, chord, tangent, secant, arc of a circle, and segment in a circle.

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