Refer to the diagram to the right. a) ZS= b) ZSZW = c) If TW bisects SX then (alternate interior angles) (vertical angles)

Q: Match the drawing with the triangle congruence theorem. VA : SS : SAS : ASA : AAS : HL

A: SAS SSS HL ASA AAS

Q: 9. If ON bisects ZPQR and N is the midpoint of PR classify each triangle by its angles and sides. а.…

A: Consider the given figure. QN¯ bisects ∠PQR and N is the midpoint of PR¯. a. Consider the triangle…

Q: The angle formed between A = 5a,+ 10a,+3az and surface z = 5 is 74.97 O 10 48.189 15.1 A Moving to…

A:

Q: The diagonals of an isosceles trapezoid ABΓΔ (ΑΒ // ΓΔ) intersect at O. If E, Z, H, Θ are the means…

A: Given an isosceles trapezoid ABΓ∆ . Its diagonals intersect at O. Given that the mid - points of OA…

Q: In the accompanying diagram, AB CD and intersects transversal GH at points E and F respectively.…

A: Consider the following figure: AB↔∥CD↔ GH↔ is transversal.

Q: The Converse of the Corresponding Angles Theorem states that if two coplanar lines are cut by a…

A: The theorem of converse of correspondingangles :   If two parallel lines are cut by a transversal,…

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: Let AABC have incircle C(O,r), and let the points of tangency of C(0,r) with BC, AC, AB be D, E and…

A: Tangent is a line that just touches the figure.  Angle bisectors are those line segments that…

Q: Consider the following figure. W S Given: pentagon RSTVW with mzVRS = mzVSR = 60°, RS = 14/2, and…

A: angle VRS and angle VSR are 60° and side RS = 14√2 units Hence, triangle VRS is an equilateral…

Q: ABCD is a trapezoid with median EF. A B E F D AB = 24, CD = 43, EF = AB = 9.7, CD = 24.6, EF = %3D

A: Given, ABCD is a trapezoid with median EF.

Q: 24. Use the diagram to write the vertical angles theorem. Given: AC intersects BD at E. Prove: ZAED…

A:

Q: The angle formed between A = 5a, +10ag+ 10az and surface z 5 is 10 15.1 74.97 48.189

A: There are two types of quantities which describe the magnitude and direction of an object and are…

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: The diagonals of parallelogram JKLM intersect at Z. Which of the follwoing statements is true? Your…

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Q: Given: CA = CB, AD BD Prove: C and D are on the perpendicular bisector of AB. C A

A: Perpendicular bisector is a line segment that divides a given line segment in to  two equal parts by…

Q: the centroid of triangle ABC is point p. point m is the midpoint of line BC, and MP= 252 cm. What is…

A: We have to solve the problem

Q: O The points P and Q are the Sides AB||CD. located on AD and BC trape zium in such way that of the…

A: First we have to draw a figure of trapezium For finding the value of AD we have to Join BD.     In…

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: Drag the postulate or theorem that proves the triangles are congruent. b. AOKR e AAHR C. AZWX EAYXW…

A: Solution of all three parts are given .

Q: 2. Consider a square ABCD and an equilateral triangle BCE in its exterior. Let F be the midpoint of…

A: We have to proof as given in the question.

Q: Which two triangles are congruent by the SAS Theorem? Complete the congruend statement. R RST E DBC…

A: We have to check

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: Given: ZV ZY, WZ is the perpendicular bisector of vy. Can you use the ASA Postulate or the AAS…

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Q: The diagonals of quadrilateral ABCD intersect at E. If EC = 4, BD = 12, AE = x, and BE = y, what…

A:

Q: 2. In the trapezoid ABCD point E is the point of intersection of diagonals AC and BD. If AC=14,…

A: In the given trapezoid ABCD, two diagonals AC and BD intersect each other at point E.  The diagram…

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

A:

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

A:

Q: The nonparallel sides of a trapezoid are called arms. True O False

A: Explanation of the solution is given below...

Q: 5. In the accompanying diagram of AAEB, EB is extended to R and K, and mL3 = mL4 = 135. Triangle AEB…

A: In △AEB, it is given that m∠3=m∠4=135∘

Q: In trapezoid ABCD, AB CD and ZBAD insert diagonals AC and BD : AAMD is isosceles.

A: Given :- In trapezium ABCD, AB≅CD and ∠BAD≅∠CDA  Prove :- ∆AMD is isosceles ∆

Q: Lines a, b, and c are coplanar, a II b, and a ± c. What can you conclude? explain?

A: Consider the given information as a∥b and a±c

Q: 12. What information is needed to prove that CD is a perpendicular bisector for KM K L M D

A: We need to prove CD is a perpendicular bisector for KM. if CD is a perpendicular bisector for KM,…

Q: In the diagram below, AB and CD are bases of trapezoid ABCD. D A B (Not drawn to scale) If m/B = 123…

A: If m∠B = 123° , & m∠D = 75°m∠C= ?AB|| DC∠A +∠D = 180°& ∠B+∠C = 180°

Q: the accompanying figure, ABCD is a trapezoid in which AD||BC and AD> BC. Prove that if AB CD, then…

A:

Q: B E D Which pair of triangles can be established to be congruent to prove that 2DAB = ¿BCD?

A: Two triangle are said to be similar by side Angle side method

Q: In the diagram below of AACT, D is the midpoint of AC, O is the midpoint at AT, and G is the…

A:

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: If PR bisects ZSRT and U is the midpoint of RT, classify each triangle by its angles and sides. 15.…

A: The triangles are drawn in the figure given in the problem. 15. △UQR The sides and angles of △UQR,…

Q: 10. Given: ABCD is an isosceles trapeziod Prove: AABE is isosceles

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Q: - In the diagram below of AACT, D is the midpoint of AC, O is the midpoint at AT, and G is the…

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Q: The Converse of the Corresponding Angles Theorem states that if two coplanar lines are cut by a…

A:

Q: Consider AXYZ (not shown). a) Which side is included by ZX and LY? b) Which angle is included by…

A: Draw the triangle ∆XYZ.

Q: Given: LBAC LBCA, M and N are midpoints of AB and CB, respectively Show: LAMC LCNA M.

A: Given  ∠BAC≅∠BCA M and N are midpoints of AB and CB , this implies  AM=MBCN=NB To show: ∠AMC≅ ∠CNA…

Q: In isosceles trapezoid QRST shown below, QR and TS are bases. If mZQ = 5x +3 and mZR = 7x – 15, what…

A: Given that TSRQ is an isosceles trapezoid Properties of isosceles trapezoid both pair of base…

Q: The midpoint of AB is M(6, 1). If the coordinates of AA are (4, 8), what are the coordinates of BB?

A: M has coordinates (6,1) Coordinates of A =(4,8)

Q: In the given figure, X and Y are centres of two intersecting equal circles. If XY = AB, prove that…

A:

Q: A B U. D T

A:

Q: Consider trapezoid ABCD with AB || DC. M and N are midpoints of AD and BC, respectively. If AB = 12…

A: Consider the trapezoid as shown in the question. Here, the objective is to find MN

Q: 7) Given: Parallelogram ABCD with diagonals AC and BD intersecting at E. Prove: AADE ACBE sement…

A: In given figure  For ∆ADE &∆BEC 1) AD= BC ( opposite sides are parallelogram are equal and…

Q: Let AABC have incircle C(O,r), and let the points of tangency of C(O,r) with BC , AC, AB be D, E and…

A: Given a triangle ABC, in which a circle is inscribed with center at O and radius r as shown in the…