The triangle AABC is given. Let c1 be circle passing through vertex A and intersecting sides AB and AC in points D and E, respectively. Let c2 be circle passing through vertex B and point D, intersecting side BC and the circle cı in points F and T, respectively. Provē the quadrilateral CETF is cyclic. Explain in detail.

Q: D. Given circle O. AB BC. If mAB = 56°, what is MZAOB? What is mAC? Which chords are congruent?

A: We can find the answer as below for all the questions asked.

Q: If ABCD is a cyclic quadrilateral and AB and DC are produced to meet at Q, and Bo and AD are…

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Q: 6. In ADEF, mLD = 50, and an exterior angle with vertex F has measure 120. What is the longest side…

A: Given that : In ∆DEF, m∠D=50, an exterior angle of vertex F has measure 120

Q: Prove if a quadrilateral ABCD is cyclic, then its opposite angles are supplementary.

A: As per bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: In the diagram below, chord AB and FE of circles with centre O are produced to 3.4 points C and D.…

A: Given that AB and FE are chords of a circle with centre O. The chords AB and FE are produced to…

Q: Consider the two rows of points on the grid below. Count the number of triangles that can be formed…

A: The two rows grid is given as: In both rows, there are 8 points in each. Therefore there are total…

Q: Given: AJKM M Explain how to construct a triangle that is congruent to AJKM. K

A: Draw a line from J in the lower side such that this line is parallel to MK.  Let's say that line…

Q: If R,,R, and R, be the diameters of the excircles of a AABC 3 (opposite to the vertices A, B and C…

A: Given: R1,R2,R3 are the diameters of the excircles of a ∆ABC (opposite to the vertices A,B,C…

Q: Prove that the triangles in the diagram are similar.

A: A triangle is said to be similar if they have the same ratio of corresponding sides and equal pair…

Q: Are the following triangles congruent? If so, by what method? (REMEMBER, there may be additional…

A: By ASA we can say that these triangles are congruent   It means when placed over each other , they…

Q: Given triangle MAT is an isosceles triangle and point H is the midpoint of MT. Prove LAMH LATH.

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Q: Given the following regular polygon, how many lines of symmetry does the object have? O 3 O 1 O…

A: Given. We have been given a regular hexagon. Regular figure have all sides and all angles of the…

Q: 1. In the figure, O is the centre of the semi-circle ABC. If CB |/ DO and ZACO = 58°, find ZCOD. B

A: The figure is given by Where, CB∥DO and O is the centre of the semi-circle ABC To evaluate: The…

Q: .In circle L, points E and F lie on the circle such that E, F, and L are not collinear. If LE, LF…

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Q: In this activity, you will discover how to illustrate congruent triangles. b. Given that AABD =…

A: topic - congruent triangles

Q: By calculating the lengths of its sides, show that the triangle with vertices at the points A(1, 2),…

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Q: Consider the figure below. Abraham cut regular pentagon ABCDE into quadrilateral BEGC. D

A: Given that: ABCDE is a regular pentagon.m∠BEG=(19x+3)° and m∠EGC=(m∠GCB+4x)°

Q: Prove that if a Pythagorean Triangle has even sides, then its perimeter, P, divides its area, A.

A: We have to prove perimeter P divides area A.

Q: by. 4. ДАВС

A: As per our guidelines we are suppose to solve first question if the multiple questions are posted.…

Q: A అర్ధosr pentagon s shown

A: We use the formula each exterior angle of pantagon=360/number of sides. See 2nd step.

Q: consider Let M be a point inside triangle ABC, and let AA', CC' be the cevians through M. Prove that…

A: let M be the point inside triangle ABC , let AA', BB', and CC' be the cevians through M.  To prove:…

Q: 4. If circles G and E are congruent, what can you conclude about OG and OE? K E

A: Since the given two circles are congruent  Congruent circles are defined as the circles that have…

Q: In the sketch O is the centre of the circle and C and D are angies in segment AB of the circle (or.…

A: Given  Circle with center O. And ∠C and ∠D are anɡles subtended by same chord AB To prove that ∠C =…

Q: 30. If BCDE is inscribed in the circle, which of the following is true?

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Q: Find the sum of the measures of the interior angles of each convex polygon. 15. 11-gon a. 1980…

A: We have to find the sum of the measures of the interior angles of a convex polygon.   We have to…

Q: The triangle △ABC is given. Let c1 be circle passing through vertex A and intersecting sides AB and…

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Q: Calculate the perimeter of the triangle formed by the following set of vertices (2,2) (-1,-3) (3,1)

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Q: ch each drawing with a Triangle Congruence Postulate that can be C

A: We will check the desired postulate that can be used by using properties of right triangles

Q: Given the regular polygon, select all of the rotations and reflections that carry the figure onto…

A: We will see answer in next step

Q: 8. Are the following triangles congruent Circle YES or NO and if yes, state the congruence theorem…

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Q: In a pyramid, a base edge is an edge that is between the base and a lateral face. O True O False

A: Given query is to find that statement is true or false.

Q: Determine whether the glven triangles are congruent.

A: Two triangles are congruent when the corresponding angles are equal, and the ratios of the…

Q: Select THREE statements that are true regarding circle A. B. E

A: Solution:

Q: In the accompanying diagram, quadrilateral ABCD is inscribed in circle O. mAB=132°, m

A: Given:

Q: SAS SAA HL ASA SS SSA ADA4 Hint

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Q: In the figure shown, point O is the centre of the circle, KH is a diameter and 4JKO is 60°. Create…

A: Given: A circle with KH as the diameter and center O. True Statements (i) In △OKJ, OK=OJradius of…

Q: Let AABC be a triangle. Denote the altitudes at <A, <B, and <C by AD, BE and CF, correspondingly.…

A: given that                                          AD, BE and CF are altitudes H be orthocenter…

Q: Consider any eight points such that no three are collinear.How many triangles are determined?

A: Given: Eight point such that no three are collinear, To determine: The number of triangle that can…

Q: The triangle ABCD is given. Let c1 be circle passing through vertex A and intersecting sides AB and…

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Q: For an equilateral triangle AABC which of the nine points on Euler's are distinct? That is, which of…

A: Concept: A shape or a part of two dimensional space which has three straight sides and three…

Q: 14 In the figure, AD BC, CB = CD, LABD 63,LADC =78 and 2CBD=x. a Find x. & Determine whether ABCD is…

A: We will solve the following.

Q: Which type(s) of quadrilateral(s) is(are) necessarily cyclic? a) A square b) A parallelogram

A: A cyclic quadrilateral or inscribed quadrilateral is a quadrilateral whose all vertices lie on a…

Q: In init square ABCD, the inscribed circle w intersects CD at M and AM intersects w at a point P…

A: The figure of the given situation:  ABCD is unit square.  w is an inscribed circle of radius 0.5 and…

Q: In the accompanying diagram of circle O, AB and BC are chords and m<AOC = 96. What is In the…

A: We solve the problem by calculating angles.

Q: In circle B with mZADC = 30, find the MZABC. B C A

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Q: In the sketch PQRS is a cyclic quadrilateral. O is the centre of the circle and QO and OS are drawn.…

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Q: Proof must be a paragraph proof   Thanks

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Q: what is a solid figure of which the base is a polygon and the other faces are triangles with a…

A: Answer:  Pyramid.   A pyramid is a polyhedron whose base is a polygon of any number of sides and…

Q: 1. Provide necessary illustration in each given condition. Segment YO of circle D and intersected by…

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