Let ABC be a triangle, and let AA' , BB' , CC' be diameters in the circumcircle. Prove that triangle ABC ≡ triangle A'B'C'

Q: What additional information is needed to prove the triangles are congruent by the SAS Postulate?

A: In ∆WXY and ∆WZY WX=WZ Assumption∠XWY =∠YWZ (Given)WY =WY (Common)∆WXY=∆WZY By SAS CONGRUENCY

Q: Prove that if one interior angle of a triangle is right or obtuse, then the other two interior…

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Q: 7. Construct a right triangle with legs of lengths a and b.

A: Topic:- right angle triangle A triangle in which one of the measures of the angles is 90 degrees is…

Q: 1. PORST is a pentagon inscribed in a circle. If ZRPS = 30°, ZQSR = 32°,ZPQS = 68° and SR = TS, find…

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Q: If a triangle is formed with sides having the lengths given, is it acute, right, or obtuse? If a…

A: Given:          The length of the sides of a triangle.   To find:           The triangles are…

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: 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: Prove that the angles at the base of an isosceles triangle are equal.

A: To prove: The angles at the base of an isosceles triangle are equal. Proof: Let an isoscles triangle…

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

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Q: 4. In triangle ABC, BO and CO are the internal bisectors of angle B and angle C. Prove that angle…

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Q: What is the area of a triangle with sides of length a and b and with included angle u?

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Q: Which triangle has 0 reflectional sy

A: A option is correct. SCALENE TRIANGLE   SCALENE TRIANGLE HAS 0 REFLECTIONAL SYMMETRIES.…

Q: Prove that the mid-points of the sides of any triangle form a triangle similar to the original…

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Q: The LL theorem states that for right triangles, two congruent sufficient to prove congruence of the…

A: Here we have,  The LL theorem states that for right triangles, two congruent ......................…

Q: Draw three noncollinear points R, S, and T. Construct a triangle whosesides have R, S, and T as…

A: Draw three non-collinear points R, S, and T.

Q: Excercise 9 Prove that the bisectors of the interior angles of a triangle are concurrent at a point…

A: Let ABC be a triangle  We first make two angle bisectors and then prove third line from the…

Q: entify if the two triangles are similar and by what postulate/theorem. 3. м 6 10 L5

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Q: elow. 7 Z

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Q: 6. Let AABC be a triangle and let D be a point on the side BC. Let 0, be the center of the inscribed…

A: Consider the provided question, Let ∆ABC be a triangle and let D be a point on the side BC. Let  O1…

Q: 8. Prove that every triangle has an "interior" altitude (one that meets the side to which it is…

A: Every triangle has an "interior" altitude.

Q: circles G and are congruent, what can you conclude about OG and OE?

A: Given question is Circles G and E are congruent, what can you conclude about OG and OE?

Q: Suppose that the lengths of two sides a and b in a triangle are known along with the measure of the…

A: Given :          The lengths of two sides a and b in a triangle and the measure of the angle C…

Q: Your friend claims that the SAS Congruence Theorem (Theorem 5.5) will apply to a triangle and its…

A: It is known that the triangle that is obtained after translated, reflected, rotated, and dilated…

Q: prove: two isosceles triangles are similar if and only if their angles at the vertex are congruent

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Q: which theoems or postulates can be used to prove that these two triangles are similar.

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

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Q: Find the area of a triangle that has sides of length 4 and 5, with an angle of 41° between those…

A: Directly use the formula for the area of triangle when two sides and angle between them is given.

Q: 15. Refer to llustration 7. Given: Isosceles triangle AFC with base AC. Isosceles triangle BGD with…

A: answer is in next step

Q: 4. If line m is tangent to circle O, what kind of triangle is triangle ABO?

A: Figure is given by We need to determine the type of triangle △ABO

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: 10. Prove that if two medians of a triangle are congruent, then the triangle is Isosceles.

A: The answer is given as follows

Q: Show that triangle with vertices p(6,-7),q(11,-3) and R(2,-2) is a right angled triangle using…

A: We first find the length of the sides using the distance formula.…

Q: prove that the sum of the interior angles of a triangle ABC is 180 degrees

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Q: 7. What is the second step to construct a congruent triangle such that AFGH = AJKL? Draw an arc for…

A: Given query is to find the second step of constructing congruent triangle.

Q: Based on the image below, which triangle congruence theorem would prove the triangles congruent?

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Q: what is the length of segment AB with points A(2,4) and B(3,6).  Use √ if necessary.

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Q: What additional information is needed to prove the triangles congruent? What theorem of postulate…

A: Consider the given triangles △ACB  and  △ECD The vertically opposite angles ∠ACB  and  ∠ECD are…

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: Based on the image below, which theorem/postulate would prove triangle RST and RUT congruent by SAS?

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

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Q: Provide a proof for the following theorem: Let EPAB and FQCD be two asymptotic triangles. If angle…

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Q: Which property of similarity can be used to prove triangles LKJ and ZYX are similar?

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Q: These triangles are congruent by the triangle congruence postulate [ ? ]. A. Neither, they are not…

A: We can make it easier for you

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

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Q: 1. Prove: If one interior angle of a triangle is right or obtuse, then both the other interior…

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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: In a triangle ABC, line t is drawn through vertex A in such a way that t parallel line BC. what is…

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Q: V is a point on segment UW. If Uv=11.3 and VW=8.4, what is UW?

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