In quadrilateral ABCD, it is given that AB = CD and BC = DA. Prove that angles ACD and C AB are the same size.

Q: Suppose that Tis a point on side PQ of APQR. Also, RT bisects ZPRQ, and ZP = 2Q. If Z1 and 2 are the…

A: Consider triangle PQR, As RT bisect angle R, ∠PRT=∠QRT Given that ∠P=∠Q ∠RTP=∠1∠RTQ=∠2

Q: quadrilateral

A:

Q: Write a two column proof to prove the following: If a transversal intersects two parallel lines,…

A: Given, Statement: If the transversal intersects two parallel lines then the bisectors of two…

Q: Han wrote a proof that triangle BCD is congruent to triangle DAB. Han's proof is incomplete. How can…

A: The figure drawn by Han would look like,

Q: 7. Given that a triangle is equilateral, prove that one of its angle bisectors bisects the triangle.

A:

Q: Given right triangle ABC with its right angle at vertex C. Let side BC = a, CA b, and AB c. Use…

A: Stewart's theorem provided the relation between the lengths of the sides of a triangle and the…

Q: Q7. In a triangle ABC, find remaining sides and angles.i) b = 56’, c = 24’, A = 70°,ii) c=5’ , B=…

A: As two sides ans one angle of the triangle ABC are given. To find the remaining Angles and sides,…

Q: 7z 10z ° 14z

A: The sum of all the interior angles of a quadrilateral is 360o

Q: Quadrilateral ABCD and quadrilateral GHIJ are similar. If angle B=103, DA =28, CB=14, and IH=24,…

A:

Q: Let ABC be a triangle with side lengths a = BC, b= AC, c = AB. (d) Suppose that all of the angles in…

A:

Q: if ABCD is a rhombus, AC=4, and ADC is an equilateral triangle, what is the area of rhombus?

A: Drawing the figure as per the question, As we are given that AC=4 and ADC is an equilateral…

Q: How is the inscribed angle theorem used in the first step to prove that opposite angles of a…

A:

Q: It is given that  AC = BD. After proving that △BAD≅△ABC△BAD≅△ABC  and △ADC≅△BCD△ADC≅△BCD, a teacher…

A: Given step by step clear explanation

Q: 3) Which equation can be used to find A, the area of the parallelogram shown? 7 cm 10 cm A A = ¹ × 7…

A:

Q: in equilateral triangle CME, MB is an altitude and DE is an angle bisector. if BE=27-5x and DM=5x-3,…

A:

Q: Use the converse of Ceva’s theorem to prove that the angle bisectors of the interior angles of a…

A:

Q: ABCD IS A SQUARE AND BD ITS DIAGONAL PROVE THAT ANGLE ABD IS CONGRUENT TO ANGLE CDB

A: Given: A square ABCD with diagonal BD   To prove: ∠ABD is congruent to ∠CDB i.e. ∠ABD≅∠CDB

Q: 1. State and prove the full version of the Pythagorean Theorem

A:

Q: 10. a) Show that the quadrilateral with vertices at P(0, 2, 5), Q(1, 6, 2), R(7, 4, 2), and S(6, 0,…

A:

Q: In your own words summarize what the angles bisected by diagonal theorem says about parallelograms.…

A: Here we have to use own word to summarize What the angle bisected by diagonal theorem says about…

Q: In concave quadrilateral ABCD, the angle at A measures 40°. AABD is isosceles, BĆ bisects ZABD, and…

A: Given: The value of Angle A measures 40°. The side BC bisect ∠ABD and DC bisect ∠ADB. The triangle…

Q: Suppose AABC is a triangle in the Euclidean plane and D is the point such that B*C*D and AD bisects…

A: Given:  AB=9AC=6CD=12 B*C*D means points B, C, Dare distinct and they lie on the same line.  B*C*D…

Q: Given that AD and AB are congruent, and DC = BC, use a triangle congruence criterion to prove that…

A: Prove that Angels DAC and BAC are the same size

Q: Prove that if a triangle has two congruent angles, then it is isosceles.

A: Triangle with two equal sides is called anisoceles triangle.To prove: If a triangle has two…

Q: when i submit the answer it says that i have not proven enough sides and/or the angles are…

A: Given:- AE¯∥FD¯,AE¯≅FD¯,AC¯≅BD¯ To prove:- ∆AEC≅∆DFB

Q: In rhombus ACDB, m CDB = 60 degrees and BC = 10. The diagonals cross at point M. Find the length of…

A:

Q: 6) The diagonals of a rhombus are 6 inches and 8 inches long. Find the area of that rhombus. Hint…

A: