A quadrilateral ABCD is drawn so that all four of its sides are tangents to a single inscribed circle (a tangential quadrilateral). Each side touches the circle at exactly one point. How many points of contact are there between the circle and the sides of ABCD?

Question

Accepted Answer

4. Each of the 4 sides is a tangent touching the circle at one point, so there are 4 points of contact in total.

A quadrilateral ABCD is drawn so that all four of its sides are tangents to a single inscribed circle (a tangential quadrilateral).
Each side touches the circle at exactly one point.
How many points of contact are there between the circle and the sides of ABCD?

Step-by-Step Solution

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More Class 10 Number of Tangents from a Point practice

A quadrilateral ABCD is drawn so that all four of its sides are tangents to a single inscribed circle (a tangential quadrilateral).Each side touches the circle at exactly one point.How many points of contact are there between the circle and the sides of ABCD?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Number of Tangents from a Point practice

A quadrilateral ABCD is drawn so that all four of its sides are tangents to a single inscribed circle (a tangential quadrilateral).
Each side touches the circle at exactly one point.
How many points of contact are there between the circle and the sides of ABCD?