Given that AD and AB are congruent, and DC = BC, use a triangle congruence criterion to prove that constructing the diagonal AC will bisect angles a and c. In other words, prove that angles DAC and BAC are the same size.

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: Si adi Lauren made the plan shown for proving that quadrilateral ABCD with AB = CD and BC = DA is a…

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Q: If A ABC S A DEF, and mZA = (x + 30)°, m2C = 45°, and mzD = %3D 80°, what is themZA? (Hint: Sketch…

A: The question mentions that △ABC≅△DEF. The measure of angles of two triangles is given as,…

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: Write a two-column proof to show that opposite sides are congruent in a parallelogram. Given:…

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Q: Generally when a diagonal is constructed in a quadrilateral during a proof, two triangles are proven…

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Q: Given cb is parallel to ed and cb is congruent to ed prove triangle cbf is congruent to triangle…

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Q: State the theorem that proves that the pair of triangles are congruent. 2. 1. 3. 4. 5.

A: We have to give the names of congruency with which the given triangles are congruent.

Q: Determine which congruence method can be used to prove that the given triangles are congruent. AA.…

A: 1) Given triangles ΔABC ≃ ΔPQR

Q: Use deductive reasoning to show that the two triangles are congruent Given that LFAB LGED and C is…

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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: If a quadrilateral has EXACTLY 3 congruent sides and the 4th side is parallel to one of the other…

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Q: What is the sum of the exterior angle measures, one at each vertex, of a convex 17-gon?

A: The given polygon is convex 17-gon

Q: In quadrilateral ABCD, it is given that AB = CD and BC = DA. Prove that angles ACD and C AB are the…

A: Given: in quadrilateral ABCD if AB=CD and BC=DA prove angle ACD and angle CAB are of same size

Q: 5. If LAMP and BMC are right angles, AM= CM and LA = LC, prove that AP = CB. C A M

A: 5. Use ASA congruence rule to prove that two triangles are congruent . If two triangles are…

Q: 11. ABCD is a quadrilateral such that if sides AB and CD are extended they will meet at a right…

A: Solution: Consider the given quadrilateral ABCD and assuming line AB and CD extended and create a…

Q: Use the SSS congruence theorem to show that every angle has exactly one bisector.

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Q: a) Is it really necessary to construct all three bisectors of the angles of a triangle to locate its…

A: Given: a)  Is it really necessary to construct all three bisectors of the angles of a triangle to…

Q: Prove: If the sum of the angles of a triangle is a constant n, then n = 180 and thus the geometry is…

A: Consider a triangle:   Here, ∠A+∠B+∠C=n (constant)……1

Q: What additional inform ation is needed to prove the triangles are congruent by the Side-Angle-Side…

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Q: Determine the area of a quadrilaterals with incircles, having sides a = 9.66 m, b = 7.54, c = 11.44,…

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Q: In hyperbolic geometry, prove that the Omega triangles ABΩ and A′B′Ω′ are congruent if the pair of…

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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: A la- If the triangles are congruent, write the name of the congruent triangles: 1b- If the…

A: Answer

Q: The circumecenter of triangle HJK is point p. point A lies on line HJ and AP is perpendicular to…

A: Follow 2nd step.

Q: Which method can be used to prove that the triangles are congruent?

A: When two lines are intersecting then their opposite angle are equal by vertical opposite angle . Two…

Q: GIVEN: AX|| CY, BA bisects XCAX, BC bisects ACY. PROVE: ABC is a right angle.

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Q: Suppose that ABCD is a trapezoid, with AB parallel to CD, and diagonals AC and BD intersecting at P.…

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Q: Given: angle VRS is congruent to angle TSR and line RV is congruent to line TS Prove that triangle…

A: Consider the triangle as shown in figure:

Q: Prove that: If AD is the angle bisector of A (in triangle ABC), and if u = BD and v = CD, then ас U…

A: Given: AD is the angle bisector of angle A in triangle ABC.u=BD and v=CD To Find:  To prove that…

Q: Suppose AABC is a triangle in the Euclidean plane and D is the point such that B*C*D and AD bisects…

A: Given:  AB=9AC=6CD=12 B*C*D means points B, C, Dare distinct and they lie on the same line.  B*C*D…

Q: (4) Prove that if two altitudes in a triangle are congruent, then the triangle is Isosceles.

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Q: For the asa postulate to apply, which side of the triangle must be known

A: We have to write about asa postulate

Q: Measurements are made on quadrilaterals ABCD and PQRS, and we find that angles A, B, and C are the…

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Q: prove that if one side of a triangle is a common measure of the other two sides then the triangle is…

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Q: Prove that if a triangle has two congruent angles, then it is isosceles.

A: Triangle with two equal sides is called anisoceles triangle.To prove: If a triangle has two…

Q: AV 4. J 4a- If the triangles are congruent, write the name of the congruent triangles: 4b- If the…

A: To solve the congruency problem and state the postulate or Theorem.

Q: What type of trapezoid a) has congruent diagonals? b) has congruent base angles?

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Q: Prove that if two triangles have congruent bases, then their areas are in the same ratio as their…

A: To show that the ratio of the areas is equal to the ratio of the heights, if the two triangles have…

Q: Given: ABCD is a parallelogram with AB parallel to CD and AD parallel to BC. Diagonal AC is…

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Q: Prove that if a point is contained in two angles of a triangle, then it is contained in the interior…

A: In a triangle, any two angles are adjacent (i.e, sharing a common hand)

Q: Prove that angle B is congruent to C and angle BAD is congruent to D.

A: Solution is attached below

Q: a. ASA A D 十 B b. AAS E F B c. SSS F d. SAS %3 %23

A: (a) Given two triangles is:

Q: Type SSS, SAS, ASA, SAA, or HL to justify why the two larger triangles are congruent. C A AC = EC AB…

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Q: If a quadrilateral has EXACTLY 3 congruent sides and the 4th side is parallel to one of the other…

A: To write that the given statement is true or false

Q: GIven that ZA,2B, LC E{ angles } such tha F ZA and <B are complementary and that <A and 2 C are…

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Q: What additional information would be necessary to prove that the two triangles, rXBY and rZAY, are…

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Q: Suppose that in right triangle ABC with right angle at C, AC=b, AB=c, BC we drop perpendicular from…

A: Given,