10. Prove that the base angles of any isosceles triangle are acute. (See figure.) A ... B D.

Q: Are the triangles similar? If so, state the similarity and a postulate or theorem that can be used…

A: The objective of the question is proving that given triangles are similar.

Q: Give the most specific name to this shape based on the evidence given in the diagram AC = BD E A O…

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Q: Using the image below, what method of proof can be used to prove the triangles congruent? 丰 主

A: We can prove the congruence as below

Q: 3. Given the information about the two triangles by marked on the figure at the right, what…

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: What other information, if any, do you need to prove the two triangles congruent by SAS? Explain. M…

A: For side-Angle-Side property , we need to show that a congruent angle between two corresponding…

Q: Let ABC be a triangle, and let AA' , BB' , CC' be diameters in the circumcircle. Prove that triangle…

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Q: Are these triangles similar? If yes, how do you know? 13.5+ 7.5 6. Yes, by AA Yes, by SSS Yes, by…

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Q: Using the image below, what method of proof can be used to prove the triangles congruent?

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Q: Determine if the triangles below are similar. Explain why or why not? (What postulate proves it,…

A: Side-Angle-Side test Side-Side-Side Angle-Angle-Angle

Q: What theorem can be used to prove these triangles are congruent? %23 B. ASA SAA neither

A: In given Triangles, Angle and two sides are same. ASS(Angle-Side-Side) theorem doesn't exist because…

Q: Are the triangles below similar? If so, with what theorem? D 3. C.

A: we have to check whether the given triangles are similar or not

Q: 14) НА N B M D

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Q: 7. Construct the orthocenter for the triangle given below. Aopiers 201h

A: Solved below

Q: Which rule explains why these scalene triangles are similar? 60° 36° 530 O SSS SAS AA none of the…

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Q: Are the triangles below similar? If so, with what theorem? 13 82° 7 M. 48 S2 28

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Q: Are the triangles similar? If so, by which theorem? O Yes, similar by SAS Yes, Similar by SSs O Yes,…

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Q: 18. What side should be measured to construct JL in a congruent triangle such that AFGH E AJKL? FG…

A: We have to solve the problem

Q: Use the following theorem to construct a triangle similar to the given triangle but with sides that…

A: We need to construct a similar triangle to the given triangle so that the sides should be in…

Q: 3. What property could you use to show that these two triangles are congruent? H G O ASA O sss O SAS…

A: When two triangles are congruent they will have exactly the same three sides and exactly the same…

Q: 1. If RS = 20, ST = 21, and RT = 29, is ARST a right triangle? Explain. %3D %3D

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Q: These triangles are not drawn to scale. Which triangle is a right triangle? 5.1A 84f 7.3t 6.4ft 94…

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Q: Are these triangles similar? If yes, how do you know? Yes, by AA v Yes, by AA Yes, by SSS Yes, by…

A: We have to state whether the traingles are similar or not.

Q: Are these triangles similar? If yes, how do you know? 107 48d 48° 107° 23°

A: We will find where these triangles are similar or  not as following.

Q: An angle that is inscribed in a semicircle is a right angle. O True O False

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Q: Are these triangles similar? If yes, how do you know? Yes, by SAS v Yes, by AA Yes, by SSS Yes, by…

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Q: Which similarity theorem proves that the following two triangles are similar? 20 60 00 Fimilority

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Q: 1. ?? and ?? are secants of a circle which when extended beyond ? and ? at point ? outside the…

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Q: 2. What additional information is necessary to prove prove the triangles congruent? What thrm/pstl?…

A: To find: The additional information needed to prove the triangles are congruent and also find the…

Q: Are the triangles below similar? If so, with what theorem? 16 37° K. 28 E 37° F 15 ONot Similar Yes,…

A: We have to check

Q: Are the triangles similar? If so, by which theorem? Yes, similar by SSS O No, not similar Yes,…

A: Yes, they are similar by SAS theorem   The SAS theorem requires an exact order ,i.e., a side, then…

Q: Which rule explains why these triangles are similar? 30 V 58 48 62 54 35 F SSS SAS AA none of the…

A: Here, angle is not given in both of triangle.  So , we can not apply SAS , AA property. Now,…

Q: 7. Which of the following cannot be the measure of an interior angle of a regular polygon?

A: To check: If the given angles belongs to a regular polygon or not.

Q: 2. In the polygon pictured, which angles are supplementary? co P 60° k° 70° f° O co and i°. O a° and…

A: We can use the concept of angles in order to solve the given problem.

Q: -> 一→ In the diagram OAB is a triangle with OA= a, OB=b and OA= OB %3D -> -> If Mis the midpoint of…

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Q: Would you use SSS or SAS to prove the triangles congruent? If there is not enough information to…

A: Consider ∆GMZ and ∆DWXGiven GM¯ =DW¯=3cmGZ¯=DX¯=2cmMZ¯=WX¯=2cmBy SSS congruency the triangles are…

Q: 4. Which theorem would be used to prove the triangles below as congruent? K M O AAA O ASA O ss O HL

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Q: 2. The angle at the vertex of a cone is measured using a 30mm diameter coin as shown in the figure…

A: Observe the figure carefully

Q: 1. Use similar triangles to find the lengths labeled x, y, and z. Show all your work! B 15 8 A D AC…

A: In this question we have to find the value of x, y and z.

Q: 18. If the triangles are similar, then what is the length of AC?

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Q: Which of the following triangles (not drawn to scale) is a 45-45-90 triangle? 2-5 442 22 44 22-2 362

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Q: s) Find the height, h, of the roof, rounded to the nearest 16th of an inch using the n Theorem. 15'-…

A: Pythogoryean theorem, square of hypotenuse = square of base + square of height

Q: 1.10 Still using only results from Book I, show that if AB is the diameter of a circle, and C lies…

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Q: 11) ASA 12) SAS

A: Congruency of triangle

Q: In ARAE and ATAE, ZRAE is adjacent to 2TAE. RA AT and RE ET. Prove that the two triangles are…

A: We will use the criteria for congruence  of triangles.

Q: Given: E is the midpoint of AB and CD Prove: Triangle AEC is congruent to Triangle BED

A: from the above fingure,∠C≅∠D   and ∠A=∠B=90°   —Here, CA⊥AB and DB⊥AB   —CE=EDAs CD is…

Q: Which of the following is not a valid reason to prove congruent triangles? O SAS O AAS O SSA O SSS

A: Concept used: The two triangles are congruent by the following rule of congruency. SAS…

Q: RCAS Dor

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Q: The four isosceles triangles are not drawn to scale. 17 cm VA 70 70° 40 17 cm 17 cm 70 17 cm Which…

A: Congruent triangles: Two triangles will be congruent if they will have exactly the same three sides…

Q: (d)  What is an angle different from 0.5π that is coterminal with it? .(e)  What are the coordinates…

A: Recall the following. Coterminal angles are the angles in standard position that have a common…

Q: 120°. If ABC is an isosceles triangle in which the vertical angle A the base BC is trisected in D…

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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.