7. A, B, and C are points on circle O. Diameter AB and chord AC form an angle that interoepts the same ara, BC, If m/BAC=54*, state the mBC and MZBOC. . mBC b. MZBOC-

Q: 5. If you want Triangle ABC to be congruent to Triangle XYZ by ASA, what other information do you…

A: Given:   ∠BCA=∠YZXBC=ZX

Q: Suppose a student is showing that triangle ABC is congruent to triangle LMN by ASA.  So far they…

A:

Q: 7. Consider the length of the perpendicular from point to side in the given triangle. Show that

A: The sides and the angles of a triangle are related to each other by the trigonometric functions.…

Q: A positive angle less than 2π that is coterminal with 43π/6 is

A:

Q: 13. The sides of an inscribed angle are two chords that intersect at a point on the circle. 14 Fach…

A: NOTE: As per our guidelines, I have stated thirteenth problem in the picture. If you want the…

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: In Case 1-(Center O in AB, one side of the angle), Theorem 42-(An angle inscribed in a circle is…

A: Given that O is center in AB and it is one side of the angle.

Q: 1. The lateral edge of side 12 makes an angle of 30° with the base. What is altitude of the square…

A:

Q: Each quadrilateral described is inscribed in a circle. Sketch an image and determine the indicated…

A: topic - cyclic quadrilateral

Q: Given the side lengths, determine whether the triangle is acute, right, obtuse, or not a triangle.…

A: Triangle side are a,b,c and longest side is c then  a2+b2= c2  then triangle is right angle triangle…

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: 8.What angles are formed by the diagonals of ABEF? How are their lengths related?

A:

Q: State the postulate or theorem that can be used to prove the triangles congruent. If you cannot…

A:

Q: 13. If CDEF is an isosceles trapezoid, find each missing angle. 21x-16) し(18x + 5)° E

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 8. In circle O shown below, diameter AC is drawn, CD is tangent to the circle at point C, and chords…

A: AC is the diameter of the circle. E and B points lie on the circumference of the circle. CD is the…

Q: 6. The diagram below shows the arcs and segments used to construct AABC with altitude CW. Which…

A: We have to solve given problem:

Q: Show that the points of the bisector of an angle are equidistant from its sides.

A:

Q: State the postulate or theorem that would be best to use in order to prove the triangles are…

A:

Q: State the postulate or theorem that would be best to use in order to prove the triangles are…

A:

Q: State what additional information is required in order to know the triangles are congruent using the…

A:

Q: A diagram for the angle addition postulate often includes a common ray. O True O False

A: We have to check angle addition postulate

Q: Given the side lengths, determine whether the triangle is acute, right, obtuse, or not a triangle.…

A: I have provided solution in step2

Q: 5. If you want Triangle ABC to be congruent to Triangle XYZ by ASA, what other information do you…

A: Given :In the given figure XZ≅BC and ∠C≅∠Z

Q: Given APQR, Marissa constructed point O as shown. Next, Marissa will draw a circle with center 0 and…

A:

Q: Can you detemine that the two triangles are congruent by ASA? If so, name the two congruent…

A:

Q: Determine if the two triangles are congruent. If they are, state how you know. O ASA SAS O AAS Not…

A: Consider

Q: Type SSS, SAS, ASA, SAA, or HL to justify why the two larger triangles are congruent. Enter

A: The answer is given below:

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: A father wishes to make a home plate for his son to use in practicing baseball. Find the size of…

A: a. We are going to use the following graph. By the assumptions, m∠A=m∠B=m∠C m∠D=m∠E=90°

Q: In Case 3-(Center of the circle outside the angle), Theorem 42-(An angle inscribed in a circle is…

A:

Q: Are these triangles similar? If yes, how do you know? Yes, by AA Yes, by SSS Yes, by SAS Not similar

A: Yes these are  triangle are similar by AA criteria..as two lines intersect each other they by same…

Q: 18. If ABC is an isosceles triangle with vertex angle m(ZA)=45° and AB =10 inches, find the length…

A:

Q: 1. Of the triangles with sides 11, 5, 9 or with sides 6, 10, 8; which is a right triangle? In figuro…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: No three of the points A, B, C, D are collinear. Prove that the angle between the circumcircles of…

A:

Q: Which of the following shows congruent triangles by the Angle Side Angle Postulate?

A:

Q: Which statement is NOT true about similar triangles ?

A: For the given statement

Q: 1. A triangle has sides with lengths of 21 miles, 28 miles, and 35 miles. Is it an acute, right, or…

A:

Q: Given the side lengths, determine whether the triangle is acute, right, obtuse, or not a triangle.…

A: Any triangle whose side lengths satisfy the Pythagoras theorem is a right triangle.

Q: 8. In circle O shown below, diameter AC is drawn, CD is tangent to the circle at point C, and chords…

A:

Q: 2. ДВОW by

A: I am going to check the congruence of the given triangles by the information as given in problem…

Q: I-Give the correct naming order of the congruent triangles and indicate which postulate/theorem is…

A: Solution- Congruent triangle-Triangle that have exactly the same size and shape are called congruent…

Q: If AABC = A DBC, LA=LD; what postulate can one USe to prove that A ABC E ADBC (<A is an inelusive…

A: We have to identify the postulate

Q: Suppose a student is showing that triangle ABC is congruent to triangle LMN by SAS.  So far they…

A:

Q: 8 6. not to scole 'nt'angle ABC shown, DE I AC.What is Uhe length of AC?

A: Given query is to find the length of AC.

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

A:

Q: 1. Find an angle e coterminal to -202°, 5 points where 0° se <360° (the angle measure must be…

A:

Q: If A,B,C,D are the angles of a cyclic quadrilateral then prove that SinA+SinB=SinC+SinD.

A: In a cyclic quadrilateral, the sum of the opposite angles is 180°

Q: Determine whether the triangles are similar. If they are type "SSS", "SAS", or “AA" for the…

A:

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.