exterior angle theorem

Q: Another way to prove the Isosceles Triangle Theorem starts by locating the midpoint of AB and…

A: As per guildlines we can solve one question at a time if you still need answers of all ask them…

Q: For the AAS Theorem to apply, which side of the triangle must be known? A. the included side A. the…

A: For AAS theorem two angles and a non-included side is congruent then both triangles are congruent.

Q: 2. Given rhombus KLMN, a student claims that he can find all of the angle measures in the rhombus if…

A: Here we apply the properties of Rhombus we know that opposite angles are equal  and diagonals…

Q: If the bisector of an angle of a triangle also bisects the opposite side, then the triangle is an…

A: Given: In △XYZ YW→ bisects ∠XYZ and WX≅WZ, To prove: △XYZ is isosceles.

Q: ABC is a right angled triangle right angled at B. If P and Q are the mid - points of the sides AB…

A: Given:

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: In a right triangle, with legs a and b and hypotenuse c, thePythagorean Theorem states that_________

A: It is given that, In a right triangle with a leg a and b and hypotenuse c.

Q: In AWXY, XY = 10, YW = 15, and WX = 13. Which statement about the angles of AWXY must be true?

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Q: D is the midpoint of AC, line segment ED is congruent to FD, and angle EDA is congruent to angle…

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Q: Where should the point:p be chosen on the line segment So as to maximize the angle o ? AB 2

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Q: Given, A DEF is an isoceles triangle with LD Ver ted angle. as the ,. DE DF E F DE = 4x-7 EF 3x +2…

A: Given that DE=DF So, 4x-7=6x-1515-7=6x-4x8=2xx=82x=4

Q: 2. Consider the triangle below. M 64 Determine the angle measure for zA and ZM in order for AGAM to…

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Q: What additional information is needed in order to prove that the triangles are congruent by the AAS…

A: We have to check

Q: The bisectors of two adjacent supplementary angles form a right angle. ZABC is supp. to ZCBD BÉ…

A: Given ∠ABC is supplementary to ∠CBD. BE→ bisects ∠ABC. BF→ bisects ∠CBD. We have to prove that ∠EBF…

Q: If a ray QT bisects ZRQS , what would be the measure of one of the resulting angles? R. (x + 1) (3x…

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Q: Find a positive angle less than 2n that is coterminal with the given angle. 13x 3

A: Find a positive angle less than 2π that is Coterminal with the given angle 13π3

Q: In triangle XYZ, ZA is the angle bisector of angle Z XA = 4, YA = 6, and YZ = 12. Find the %3D…

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Q: 1. Using the law of cosines prove that 4m =2(b²+c?)-a², where ma is the length of the median…

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Q: f M and N are midpoints of sides AB and BC of triangle ABC, then MN=1/2(AC). True or false?

A: The given statement is

Q: The measures of some angles and sides have been marked in the triangles. R 3 M What additional…

A: Two triangles are said to be congruent if their two corresponding sides and one included angle are…

Q: Given: AC bisects ZBCD, LABC = ZADC Prove: AB = AD D.

A: When two triangles are congruent then all of their corresponding sides and angles are congruent too.

Q: Based on the image below, determine the length of BC and the theorem that supports it: * B 6.4 2.3 O…

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Q: In a right triangle, with legs a and b and hypotenuse c, thePythagorean Theorem states that .

A: In a right triangle, with legs a and b and hypotenusec, the Pythagorean Theorem states  that______

Q: In this diagram, A ABC ~ A EDC. B D E Which is the best strategy for proving that AB and DE are…

A: Note:  1. Corresponding parts of congruent triangles are equal. So, if △ABC≅△DEF, then we have,…

Q: In parallelogram PQRS, OP is extended to point T and ST is drawn. R T If ST = SP and mz R = 130°,…

A: In a parallelogram opposite angles are equal. Also the sum of angles in a triangle add to 180°. When…

Q: In the diagram below of triangle TUV,W is a midpoint of TU and X is a midpoint of UV. If mZW XU = 68…

A: as X and W are midpoints of UV and  UT respectively, line WX divides line UT and UV proportionally

Q: For AAS to apply, which side of the triangle must be known? A) The included side B) The shortest…

A: Given : AAS rule

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: is it possible to prove that the triangles below are congruent? If so, determine the method you…

A: Congruent triangles are triangles that have the same size and shape. This means that the…

Q: nany triangles can be drawn ar points?

A: In this question, the concept of Combination is applied. Combination A combination is a mathematical…

Q: A convex octagon has interfor angles with measures (1+55). (3r+20). 4v", (4x- 10Y, (6r - 55). (3x +…

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Q: In the accompanying diagram, AABC is not isosceles. Prove that if altitude BD were drawn, it would…

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Q: If you know that Point M is the midpoint of TS and UR, which of the triangle congruence methods…

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Q: Given the isosceles triangle ABC with AB=AC=x and BC=2y.   show that if A s the area of the…

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Q: Given:XW=XY Statement Reason WZ=YZ Prove: AXWZ -ΔΥΥΖ w Y

A: (SSS Postulate): If each side of one triangle is congruent to the corresponding side of another…

Q: Prove the Pythagorean Theorem with Similar Triangles using a two-column proof.

A: To Prove the Pythagorean Theorem with Similar Triangles using a two-column proof

Q: 29. In triangle GHJ below, points A, B and C are midpoints of the sides. А G When AB 3x + 8 and GJ =…

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Q: What value of I would prove that ray AB is an angle bisector of ZCAD? C (2x+10)B (x+ 15)°

A: Given that ∠CAB=2x+10  , ∠BAD=x+15   and Ray AB is angle bisector of ∠CAD   i.e ∠CAB=∠BAD   i.e…

Q: Find the angle of least positive measure(in degrees, not equal to the given measure) that is…

A: Topic:- Geometry Answer = 173°

Q: ect the triangle congruence theorem that proves these two triangles congruent, if possible. If the

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Q: In APQR, PR is extended through point R to point S, mZPQR = (3x + 12)°, mZRPQ = (3x – 11)°, and…

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Q: What method can be used to prove the triangles below are congruent? V. Y W

A: Given, A △XYZ   and  △VWZ We have to prove the  △XYZ   and  △VWZ are congruent.

Q: Iskra is a structural engineer, designing a tri-bearing truss for the roof of a new building. She…

A: We are given the following information. So, we have FM≅FI, FR is common, and ∠MFR=∠IFR by the…

Q: Suppose that square PQRS has 15-cm sides. G and H are on QR and PQ, respectively, so that PH and QG…

A: We will solve the following.

Q: Why are these triangles congruent?

A: The triangles XYZ and XZW are given, we have to show that they are congruent.

Q: Determine the method by which the triangles shown are congruent. F.

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Q: Which rule explains why these triangles are similar? W 310 310 46° V 460 D SSS SAS AA none of the…

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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,

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

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