1) Construct an equilateral triangle inscribed in a circle

Q: What is the sum of the interior angles of the polygon pictured below?

A: Interior angel of a polygon is given by : θ = (n-2)×180°

Q: Find the measure of an exterior angle of a regular polygon with 10 sides. (round to the nearest…

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Q: 10. Determine whether AXYZ is scalene, isosceles, or equilateral. work:

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Q: Find the perimeter of an isosceles triangle with a base of 8 and a vertex angle of 20 degrees

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Q: If the radius of a circle is doubled and the central angle of a sector is unchanged, how is the area…

A: To find change in area if the radius of a circle is doubled and the central angle of a sector is…

Q: Suppose that a circle is to contain the three vertices of a triangle. Relative to the triangle,…

A: Option A

Q: Prove that the angles at the base of an isosceles triangle are equal.

A: To prove: The angles at the base of an isosceles triangle are equal. Proof: Let an isoscles triangle…

Q: Prove that every equilateral triangle is equiangular, and vice versa.

A: Prove that every equilateral triangle is equiangular, Proof : In△ABC, AB=BC=AC…

Q: An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two…

A: Given that, An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and…

Q: 1. All sides of AABC are tangent to circle P. What is the perimeter of triangle ABC?

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Q: An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two…

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Q: Which diagram represents a correct construction of an equilateral triangle inscribed in a circle?

A: Given: The objective is to find the diagram represents the correct construction for an equilateral…

Q: 29. A hexagon that is equilateral but not equiangular

A: To draw a hexagon that is equilateral but not Equiangular.

Q: A 6-foot-tall mirror is leaned against a wall at an angle. A 5-foot-tall mirror is leaned against…

A: Triangles are similar when                      i) All the angles of the triangles are equal.…

Q: »4. Construct an equilateral triangle inscribed in a circle

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Q: "find the number of sides for a regular polygon whose measure of each interior angle is 168

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Q: What is the orthocenter of Triangle ABC?

A: The orthocenter of a triangle is a point where the perpendicular from the vertices to the opposite…

Q: 4) If point C is in the center of the base of the pyramid, find the length of line AC. A C 10 cm В 5…

A: Base of the pyramid is a square with side 5 cm.              Let find the diagonal of the square…

Q: a) What is the general name of the point of concurrence for the three perpendicular bisectors of the…

A: The perpendicular bisector of the side of a triangle is the line perpendicular to the side and…

Q: In an isosceles triangle with vertex angle of 60° and legs 10 m long, the length of the base is____?

A: The vertex angle of the isosceles triangle is 60° and legs are 10 m long. Then the sum of the other…

Q: can

A: Explanation and solutions is given below....

Q: Draw segments that divide an obtuse triangle into acute triangles

A: Let us consider obtuse triangle as shown in figure below

Q: Is it possible to construct a triangle with the given side lengths

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Q: This wall hanging is made of congruent 30-60-90 triangles with a height of 6 cm and a hypotenuse of…

A: Given Data: The height of the triangle is: y=6 cm The hypotenuse of the triangle is: h=12 cm The…

Q: As the number of sides of a regular polygon increases, does each interior angle increase or decrease…

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Q: Are these triangles similar? *

A: Here we have to choose the correct option.

Q: 7- Draw an equilateral triangle and circumscribe a circle on it.

A: see below the answer

Q: What kind of polygons are used to tessellate the sphere?

A: Kind of polygons used to tessellate the sphere:

Q: 4. If line m is tangent to circle O, what kind of triangle is triangle ABO?

A: Figure is given by We need to determine the type of triangle △ABO

Q: What is the radius of a sector of a circle with a central angle of measure 45° and whose area is…

A: Given : Measure of central angle is 45° Area of sector is 98π cm2

Q: Are the triangles congruent by the HL Theorem? A

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Q: Describe three conditions under which two triangles would becongruent.

A: we need two triangles to describe about congruent

Q: Find the measure (in degrees) of a central angle of a regular polygon that has 20 diagonals.

A: This question is related to polygons, we will solve it using given information.

Q: Is there an analog to the SSS triangle congruence theorem for quadrilaterals?

A: To show whether there is an analog to the SSS triangle congruence theorem for quadrilateral.

Q: An equilateral triangle has how many congruent sides

A: An equilateral triangle has how many congruent sides

Q: A cyclic quadrilateral is a quadrilateral whose vertices are on the circle. Are opposite angles of…

A: Given :- A cyclic quadrilateral is a quadrilateral whose vertices are on the circle

Q: In AABC, a = 2.3 cm, c = 3.1 cm, and ZA = 28°. Determine two possible measures for ZC, rounded to…

A: Solution is given below:

Q: Suppose that ABCD is a square, and that CDP is an equilateral triangle with P outside the square.…

A: Let We have to draw a house (a square with a triangle on top). Construct in a way that., 1) Point D…

Q: whats true about the side lengths and angles for two congruent triangles? How will they look?

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Q: Determine the measure of one exterior angle of a regular 20-sided polygon.

A: The measure of an exterior angle of a regular polygon with n sides is 360n°.

Q: Does a scalene triangle have line symmetry?

A: A scalene triangle is a triangle in which all three sides are in different lengths, and all three…

Q: An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two…

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Q: An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two…

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Q: show that the base angles of an isosceles triangle are equal

A: Consider an isosceles triangle ABC with AB=AC. Then prove

Q: In circle E, segment AB is congruent to segment CD.

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Q: An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two…

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