Consider ACAT (not shown). Which angle is included by sides AT and CT? a) OZA b) O2C c) O ZT

Q: Let ABC be an equilateral triangle with AB = AC, and let AD be the angle bisector of BAC. Show that…

A: Use congruence triangle

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

A:

Q: In kite HJKL, HJ = HL and JK = LK. If measure of angle J is = 90°, HJ = 12, and JK = 5, find the…

A: A diagonal is a line segment joining two vertices of a polygon or polyhedron when those vertices are…

Q: Given that AC = BC and AT = BT, prove that angle TAC = angle TBC

A: given,

Q: Given the image below prove that Triangle ABC is equal to Triangle CBD and Triangle ABC is congruent…

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Q: In trapezoid RSTV, RS || VT. a) Which sides are the legs of RSTV? b) Name two angles that are…

A: Consider a trapezoid:   Here, RS∥VT i.e. RS is parallel to VT.

Q: . In a convex quadrilateral ABCD, there are given ||AD|| = 7(√6 – √2), ||CD|| = 33 5 $³3³, and D =…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

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: Note: Exercises preceded by an asterisk are of a more challenging nature For Exercises 1 to 10, use…

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: Opposite angles are congruent in an isosceles trapezoid. O True O False

A: In Isosceles trapezoid,

Q: List the angle measures of AQRS in order from smallest to largest. Assume that w is a positive…

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Q: Based on the image below, which theorem/postulate would prove triangle a RST and RUT congruent by…

A: Here , RT is perpendicular bisector of SU .

Q: 1. If ΔABC ≅ ΔGMA by SAS postulate where AB ≅GM and AC ≅GA, then what is the name of the congruent…

A: There are five traingle postulates by which two triangles can be congruent, 1.SSS :All three sides…

Q: By using the Inscribed Angle Theorem, calculate the angle and arc measures needed: - Angle C -…

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Q: Use the glven information to prove that AABC AEDC. Given: BC E DC ZBAC LDEC B Prove: ДАBC ДЕDС А…

A: Here we want to prove given triangles are congruent triangles

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: GIVEN: ARST [Figure 5.24(a)] with sides a, b, and c so that c2 = a² + b? PROVE: ARST is a right…

A: We have given triangle RST It is given that  c2=a2+b2

Q: In Exercises 19 to 21, let B be an acute angle of a right 13 Find 12 triangle for which sec B =

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

A:

Q: Given: ZB is a right angle; AB || DE, Prove: ADEC is a right triangle. 1. Proof

A: 4. Statements Reasons ∠B is a right angle, AB∥DE Given. BC⊥AB Definition of rt. ∠. BC⊥DE If…

Q: Given: CE bisects ZBCD. LA is a right angle. MZBCE = 45 Prove: ZA = ZBCD

A: It is given that →CEbisect LBCD . LA=90 degree LBCE=45 degree Now we have to prove…

Q: In right ARST, RS = ST in Figure 5.40. What are the measures of the angles of the triangle? If RT =…

A: Given: In a right triangle RST, RT=122 and RS=ST  as shown in the figure.

Q: are the triangles shown below congruent? explain

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Q: Drag the black point to show an angle that is supplementary to angle A. Mueve el punto negro para…

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Q: In the figure below AE CE. Which palr of angles need to be congruent to prove AEBA = AEDC by AAS? B

A: Given data: Side AE=EC.

Q: Which among the following angles is congruent to ZC?

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Given: DE = EC, Angles D and C are right angles Prove : <B E< A B E A.

A: Since you have posted multiple questions and we can answer one question. So, answered first…

Q: P is a point on BC of the triangle ABC such that AB = AC = BP. If PA = PC, find the measure of angle…

A: The triangle ABC is shown below.

Q: In AABC pictured, AD is the angle bisector of LA. If BD = 5, CD = 6 and AB = 8, find AC. B. %3D %3D…

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Q: Given: AB 1 BF; HD 1 BF; H. GF 1 BF; LA = LG Which numbered angles must be congruent? B F

A: Given

Q: In the accompanying diagram of triangles BAT and FLU, ZB LF and BA FL. Which statement is needed to…

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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: 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: In ?️ ABC, m angle B =120, m angle A=55, and D is the point on AC such that BD bisects angle ABC.…

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Q: Which statement about the angle measures is true? MZBAC + MLACB = 85° %3D m/BAC + MZABC = 85° %3D…

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Q: of

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Q: (1) Use the Exterior Angle Theorem to prove SAA. That is, prove if <A = <D, <B = <E, and BC=EF then…

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Q: In kite JKLM, LJMN=25° and LKN Part A: Name an angle that is congruent to JMN A. LMN JKN LKM Part B:…

A: Given  JM=LM  , JK=LK

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

A:

Q: 3. Given AABC AJFK, list all of the congruent angles. * ZB = ZJ, 2C= LF, LA= LK ZC = LF, ZA ZK ZB =…

A: Given: ∆ABC~∆JFK

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: Using the figure to the right, a classmate says that mZA=90°. What is the classmate's error? Choose…

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

A: Solution is attached below

Q: hat is the proof for ray MJ bisec

A: Here we have to prove that ray MJ bisecting angle HMK. To prove:-  MJ→ bisecting ∠HMK.

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

A: To prove that the base angles of isosceles triangle are acute

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: Draw a concave pentagon that has: a) one interior reflex angle. b) two interior reflex angles.

A: A pentagon that has any interior angle more than 180 degree is called concave pentagon. otherwise it…

Q: Given: BA CA, AX is the angle bisector of ZBAC Prove: ZABX LACX

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