If two inscribed angles of a circle intercept the same arc, these angles are congruent. true or false?

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: What is the sum of interior angles of a dodecagon

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Q: Prove if 2 parallel lines intersect a circle, then the intersected arcs between the lines are…

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Q: Please, Write down a labeled copy of Euler’s Nine-Point Circle for an obtuse triangle Δ???

A: It is known as nine-point circle, because it passes through nine significant points of any triangle…

Q: One ________ is the measure of a central angle that intercepts an arc equal in length to the radius…

A: One ________ is the measure of a central angle that intercepts an arc equal in length to the radius…

Q: What is the relationship between arcs and inscribed angles of a circle?

A: The measure of an inscribed angle in a circle is equal to half the measure of its intercept arc.

Q: Prove that the angle substended by an arc of a circle at the centre is doubled the angle substended…

A: Let O be the center of circle. PQ is an arc subtending ∠POQ at the center O. To prove: ∠POQ=2∠PAQ

Q: In Case 2-(Center of the circle within the angle), Theorem 42-(An angle inscribed in a circle is…

A: Consider the provided information and diagram,

Q: or a quadrilateral inscribed within a circle, opposite pairs of its interior angles are said to be…

A: For a quadrilateral inscribed within a circle, opposite pairs of its interior angles are said to be…

Q: In a circle, LA and ZB are inscribed angles that intercept the same arc. What can you conclude about…

A: A and B are the two points in the same arc of the circle.

Q: Find the length of an arc of a circle with radius 12 cm if the arc subtends a central angle of 30°.

A: Given: Radius of the circle (r) = 12cm Central angle θ=30° To find: Length of the arc (l) = ?

Q: If two triangles are similar, then corresponding anglesare and the lengths of corresponding sides…

A: If two triangles are similar, then corresponding angles are equal and the lengths of corresponding…

Q: If two inscribed angles share the same intercepted arc in a circ then the inscribed angles have the…

A: Inscribed angles: - Inscribed Angles: An inscribed angle is generated when two chords of a circle…

Q: If each interior angle of a regular polygon has a degree of 168, the polygon has 30 sides. True or…

A: True.

Q: How many degrees are in a central angle whose arc is - of a circle?

A: How many degrees are in a central angle whose arc is 3/5 of a circle.

Q: Suppose that a circle is divided by points A, B, C, and D into four congruent arcs. What is the…

A: Let r be the radius of the circle. Since the arcs formed by the points A, B, C and D are congruent,…

Q: How to tell if a triangle is congruent

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Q: What is the relationship of two secants intersecting in the interior of a circle to the measures of…

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Q: Suppose that a circle is divided into three congruent arcs by points A, B, and C. What is the…

A: Since, we have been given that a circle is divided into three congruentarcs by points A, B and C.…

Q: When constructing an angle bisector, why must the arcs intersect?

A: When constructing an angle bisector, why must the arcs intersect ?   Answer: The arcs must intersect…

Q: Find the sum of the exterior angle of a dodecagon?

A: Recall: A dodecagon has 12(=n) sides. Sum of Exterior angles=Exterior angle*n Exterior…

Q: Determine the relationship between the two triangles and whether or not they proven to be congruent.…

A: Two triangles given have the same length of their sides that means all the sides of first triangle…

Q: Are these triangles similar? If so, what is the similarity statement?

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Q: Do you agree that if two lines intersect at the center of the circle, then the lines intercept two…

A: Yes. When two lines intersect, they form two pairs of vertical angles. Pairs of non-adjacent angles…

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

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

Q: Nhat is the ENGTH of arc AB in circl-

A: Given: The measure of angle ACB is 75 degree and CB is 13 in. Figure :

Q: The angle between 0° and 360° and is coterminal with a standard position angle measuring 2130° angle…

A: Coterminal are the angles which share the same terminal and initial sides. Here, Value of coterminal…

Q: When two parallel lines are cut by a transversal, the alternate exterior angles A) congruent.

A: Given that: Two parallel lines intersected by a transversal line.

Q: In circle S with mZRUT = 43°, find the angle measure of minor arc RT.

A:

Q: 1. When two chords of a circle are parallel, are the arcs they intercept be congruent? How about the…

A: Given that two chords of a circle are parallel and the arcs intercept the congruent. The arc that…

Q: Two angles that have a common vertex and rays that point in opposite directions are called

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Q: It is an angle whose vertex is on a circle and whose sides contain chords of the circle?

A: I have provided the answer in step 2.

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 a circle of radius 7, what is the length of the arc that subtends a central angle of 100 degrees.

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Q: A quadrilateral can be inscribed in a circle, if and only if, the opposite angles in that…

A: Topic:- geometry

Q: What is the radius of a circle if a central angle of 20° subtends an arc of length 10 inches?

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Q: ) Is it possible to draw a triangle with base angles that are obtuse? If it is, draw a picture of…

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Q: Is the measure of the inscribed angle with an intercepted arc of 68° , 24°?

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Q: When two chords of a circle are parallel, are the arcs they intercept be congruent? How about the…

A: Topic = Circle   Chords within a circle can be related many ways. Parallel chords in the same circle…

Q: In a circle of radius 5.9 miles, find the length of arc that subtends a central angle of 1.

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Q: If the radius of a circle is doubled and the central angle of a sector is un-changed, how is the…

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Q: Are these triangles similar? If yes, how do you know?

A: We will solve the following.

Q: 5. If the radius of a circle is 17 cm, find its central angle that intercepts an arc of 55 cm.

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Q: If an insoribed angle of a circle intercepts a semicircle what is tha angle formed?

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Q: If two angles vertical angles. are not congruent, then these angles are not

A: Given: The two non-congruent angles, To prove: The given angles are not vertical angles.

Q: The angle between 0° and 360° and is coterminal with a standard position angle measuring 1150° angle…

A: To find: The Coterminal angle with a standard position angle measures is 1150° between 0°and 360°.…

Q: A circle with circumference 18 has an arc with a 120° central angle. What is the length of the arc?

A: The circumference of a circle is the perimeter of the circle. The arc of a circle is the portion or…

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

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Q: all interior angles of a triangle must be less than or equal to 90 degrees true or fals

A: Consider the provided information, All interior angles of a triangle must be less than or equal to…

Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.