B. Complete the two-column proof of the theorem which states that "if two inscribed angles of a circle (or congruent intercept congruent arcs or the some arc. then the angles are congruent." Given: In OT. PR is the intercepted arc of

Q: Draw and label right angle FGH  with a bisector    GI.

A: Given query is to Draw and label right angle FGH  with a bisector    GI.

Q: -E T Prove: ABET is isosceles. Ca 53. The radius of circle C is 1 and CD= to AB. Also, CB= GH. The…

A: 52.)Extend line OE to BT line , such that point A lies on BT∠BAE= ∠TAE =90° (Right Angle )Now ,…

Q: 15. What theorem would be used to prove the triangles below congruent? V W Y. z- SSS SAS AAA SSA

A: Side angle side (SAS)  If two sides and the included angle of one triangle are equal to two sides…

Q: 43.) In a circle, an arc that is less than a semi circle is a a. major arc b. minor arc c. vertex d.…

A:

Q: 16) ST and SR are tangent to Circle C. Find ST. А. 3 x+ 12 В. 7.3 C. 12 4x +9 D. 13

A: Solution:Given    ST=4x+9   and ST=x+12To find length ST:Formula:ST and SR be two tangent of a…

Q: For what values of x and y are the triangles to the right congruent by HL? X 4 x+4 4y y+2

A:

Q: 10. Are the triangles circle "Not similar" and explain why. A -A. Circle one: G Circle one: 16 12/70…

A: Given, Angle G= Angle N= 70° According to given, GI/GF= 12/16=3/4 NM/NL= 14/18= 7/9 Since, The ratio…

Q: Do Now: Use the Third Angle Theorenm to find the value of x. 1) 70°

A: Triangle LNM is similar to triangle ZYX, where, angle(LNM) = angle(ZYX) = 90° and, angle(MLN) =…

Q: 15. In the figure, AC is a diameter of the circle If D is a point on AB such that OD 1 AC, prove…

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Q: Part 1 out of 3 To prove the Inscribed Angle Theorem you need to prove three cases. In Case 1, the…

A:

Q: Secant SQ touches the circle at point Rand S and intersects tangent TQ outside the circle. Draw…

A: We have, Secant SQ touches the circle at point R and S and intersects tangent TQ outside the circle.…

Q: 1. Given: GJ GK; LH = LI Prove: AGHJ = AGIK Statement 1.GJGK; ZH=ZI Nonst G H Reason 1. Given I

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

Q: ZACB = LECD because of what theorem?

A: Given, Angle ACB= Angle ECD

Q: For 0° ≤ x ≤ 360°, find two angles that have a) a secant of -3

A:

Q: 48.) A (blank) is an arc whose points are on or in the exterior of a central angle. a. minor arc b.…

A: An arc whose points are on or in the exterior of a central angle is called a major arc. It measures…

Q: For the isosceles triangle shown, which of the following must be true?   a. The medians to the…

A: Equal sides fromed by:(0, 2b) &(-2a,0)and(0, 2b) &(2a, 0)Midpoints of the equal sides,(-a,…

Q: 80° y m/x > m/z m/x > m/y m/y > m/z m/z > m/x

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Q: Two sma 1l cîrcles trangent to each ofuer are inseribed in a recbang le us circumscribed aboub the…

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Q: 619 losha Assignment, Geo & 6:50AM 1 In the diagram below, TX is a fangent of a circle with Centre…

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

Q: Supply the reasons for the following proof. Given: PA and PB are tangents to circle O. Prove: PO…

A: Theorem  pair of Tangents from external point to a circle always equal in length

Q: Match each of the folowing constructions to its corresponding description It cansucting Paralal…

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Q: (True or false) For a given triangle ABC with AC > AB. If D is a point on BC such that AD is…

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

Q: 30 WWLH the equaHIon of the circle Pentered at -a,-8) With rOdius 3.

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Q: A. Directions: Use the given figure to answer 1-5. 1. If TI TEB, name two congruent angles. 2. If 21…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: A tangent. line is drawn from point T to a tangent point at W on à given circle. A secant is also…

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Q: 6) Given: <1 and <2 are not complementary Prove: <C is not a right angle A

A: As per our guidelines , we can not solve more than one question .Kindly repost the reamaining…

Q: Look at this right triangle. B. Which of the triangles below could be used to prove the Pythagorean…

A: If a perpendicular draw from the vertex of the right angled triangle to the hypotenuse so as to…

Q: Let O be center of circle and PQ tangent to circle at A, how much is angle RAQ?

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Q: 5. If AWKT has acute angles at K and T, and if WR 1 KT, show that R lies between K and T. (Hint: Use…

A: Given that angles K, T are acute angles. To show that R lies between K and T, which is 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.