Step-by-step explanation: We are offered four options describing the relationship in between circles and also triangles. We space to select the correct statements.
You are watching: What can be said about the relationship between triangles and circles? check all that apply.
Since a circle has actually infinitely numerous non-collinear points, and we need three non-collinear clues to draw a triangle, for this reason we can draw numerous triangular shapes have the right to be enrolled in a given circle.
So, alternative (A) is incorrect and (B) is correct.
Now, us can draw a circle with centre as the in centre of a triangle and a triangle has only one in centre, for this reason we have the right to inscribe many circles inside a triangle through centre together incentre.
Hence, alternative (C) is incorrect.
Also, considering the building and construction symmetry, we have the right to conclude that precisely one circle can be circumscribed about a offered triangle. Therefore, alternative (D) is additionally correct.
Thus, (B), (C) and also (D) space correct.
exis <7>7 months ago
The correct historicsweetsballroom.coms are: B) countless triangular shapes deserve to be enrolled in a given circle; and D) precisely one circle have the right to be circumscribed about a provided triangle.Explanation: among our geometric theorem claims that for any kind of 3 non-collinear points, precisely one circle deserve to be drawn through it. This explains historicsweetsballroom.com D; the non-collinear points would be the vertices of the triangle, and only one circle deserve to be drawn through those points (circumscrbied around the triangle). Because that B, we have the right to have countless triangles enrolled in a circle; the distinctions in the measures of the angles offered will produce the different triangles.
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