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noah is baking a two-layer cake, in which the bottom layer is a circle and the top layer is a triangle. if segment ab = 5 inches and arc ab≅ arc ac, what does noah know about the top layer of his cake?
circumscribed circle d around triangle abc, arcs ab and ac are congruent.
segment ab is twice the length of segment bc because their arcs are congruent; therefore, δabc is an isosceles triangle.
segment ab is twice the length of segment bc because their arcs are congruent; therefore, δabc is an equilateral triangle.
segment ab ≅ segment bc because their arcs are congruent; therefore, δabc is an isosceles triangle.
segment ab ≅ segment bc because their arcs are congruent; therefore, δabc is an equilateral triangle.

The correct option is 4.

Step-by-step explanation:

Given information: AB = 5 inches and arc AB≅ arc AC.

It is given that bottom layer of the cake is a circle and the top layer is a triangle.

Let the circle of the circumscribed circle around the triangle is D.

According to Central Angle Theorem the central angle from any two points on the circle is always twice the inscribed angle from those two points.

Using central angle theorem,

It is given, arc AB≅ arc AC, so

If a triangle has two congruent angles then it is an isosceles triangle.

Segment AB ≅ segment BC because their arcs are congruent; therefore, ΔABC is an isosceles triangle.

Therefore the correct option is 4.

ab ≅ bc because their arcs are congruent; therefore, ΔABC is an isosceles triangle.

Step-by-step explanation:

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