D and E are any two points on the sides AB and AC respectively of the triangle ABC. DG drawn parallel to BE meets AC in G and EF drawn parallel to CD meets AB in F. Prove that F G is parallel to BC

Q: 44. Given: PQRS is a rectangle; LA is a right angle. Prove: BS · RC = PS • QR = (PS) · QR A P. B R C

A: here given that ,  PQRS is a rectangle ; ∠A is a right angle, prove :- BS·RC=PS·QR=(PS)2

Q: In the adjacent figure, ABC is a right triangle at A, such that: AB = (V17 – 1) and AC = 2V5 D (V17…

A: This question contains 4 subparts. So, according to the guidelines, the solutions of three subparts…

Q: Let ABC be a right triangle and H be the foot of the altitude relative to the hypotenuse BC. Let…

A:

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: 13) In the diagram below, BC connects points B and C on the congruent sides of isosceles triangle…

A: We have to find the length of BC from the given figure.

Q: 4. D and E are any two points on the sides AB and AC respectively of the triangle ABC. DG drWn…

A: Given: D and E are any two points on the sides AB and AC respectively of the triangle ABC. DG drawn…

Q: The side AB in the triangle ABC is greater than AC, and D is the mid-point of BC. From C draw two…

A: Given- The side AB in the triangle ABC is greater than AC, and D is the mid-point of BC. From C draw…

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: A, B, and C are collinear points: B is between A and C.  If AB = 12, BC = 18, and AC = 3x, find x.

A: If A, B, and C are collinear points and B is Between A and C, then AB + BC = AC

Q: In the diagram shown below segments TU and QS perpendicularly bisect each other at point R. Which of…

A:

Q: 61° F H. 61° Determine if the triangles are similar or not. SSS - AA - SAS - Not ~

A: Here we determine the triangle similarities.

Q: In a parallelogram ABCD, |AB|= 12,|AC = 14. The distance from D to AC is 4. Find the distance from D…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Let ABC be an equilateral triangle. Let M be the midpoint of BC and let N be the midpoint of AM.A…

A: Given that, ABC is an equilateral triangle and M is the midpoint of BC¯ and N is midpoint of  AM¯.…

Q: 11. ABCD is a quadrilateral such that if sides AB and CD are extended they will meet at a right…

A: Solution: Consider the given quadrilateral ABCD and assuming line AB and CD extended and create a…

Q: In the adjacent figure, ABC is a right triangle angled at A. • AB = 1 cm; AC= 2 cm. • R is the point…

A:

Q: In the dlagram, DE Intersects AB and AC and is parallel to BC. C D. E А How can you prove that DB AD…

A: We can complete the gaps to prove the required statement as below.

Q: In the diagram below, AC and BD intersect at E. D UT2 B beeu ad nso Which information is always…

A: Here we need to choose the required option which is sufficient to prove the two triangle are…

Q: 12. Find the length of DH and HE in the parallelogram DEFG given DH = y +4, HF = 3x – 6, GH = 4y,…

A:

Q: In the figure, AB = DE and C is the midpoint of both AD and BE . E A. B Prove AABC = ADEC

A:

Q: 8. As shown in the diagram below. the diagonals of parallelogram QRST intersect at E. If CE=x +6x.,…

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Q: In the diagram of AABC below, points D and E are on sides AB and CB respectively, such that DE ||…

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Q: GIVEN AE = CE, AB = CD, E is the midpoint of BD. PROVE AEAB = AECD C A. %23 E B.

A: Plan :  We know that, if the three sides of two triangles are congruent then the triangles are…

Q: Show that the two triangles are similar. Q P and ZN Z Nv, so ALvQ AMNP QLN QNL MPN MNP NMP

A: Two triangles △LNW and △MNP are shown in the figure given in the problem. From the figure, LQ||MP…

Q: 4. AB intersects CD at E. If the mLAEC is 8x- 15 and mLAED is 9x + 76, find all the angles.

A:

Q: In parallelogram ABCD shown below, points F and G are located on side DC and AG and BF are drawn,…

A: If measure of 3 angles of given triangles are equal, then the triangles are similar to each other.…

Q: A series of trapezoid-shaped posters advertising a movie are placed along a wall. D C M If the…

A:

Q: In the diagram, ACDE is a cyclic quadrilateral, Lines GAB and FEHC are paraliel, and line GAB is a…

A:

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

A:

Q: Use the Pythagorean theorem to determine the length of each segment in the figure shown. 6. 1. AB 4…

A: The given figure is: From the given diagram it is clear that: AX=3BX=3YG=1FY=4CZ=5DZ=3

Q: In 4ABC, E and F are points on AC and AB,  respectively, such that BE bisects ∠ABC and CF bisects…

A: We know that,  In a triangle sum of the angles is 180°. The sum of the angles that form a linear…

Q: O is the center of a circle whose circumference passes through the vertices of an equilateral…

A:

Q: Find the value of x that would prove this is an isosceles trapezoid. Then find each segment length.…

A: x=8.   the explanation is given in below step

Q: Draw a straight line parallel to the base BC of the triangle ABC and meeting AB and AC (or produced)…

A:

Q: 12. In parallelogram ABCD shown below, points F and G are located on side DC and AG and BF are…

A:

Q: B C. D In the above diagram: AD is a perpendicular bisector of BC Prove: ABD ADC (show your proof on…

A: From give information you can prove it by applying SAS congruent...as I have done in solution...go…

Q: Given M is the midpoint of AC, W is the midpoint of AB , P is the midpoint of BC, and BP…

A: This question is based on Congruent triangles.

Q: ABC is a triangle. BF, CG are any two lines drawn from the extremities of the base BC to meet AC and…

A:

Q: AWXY and AABC are isosceles, with bases WY and AB respectively. If ZX and ZB are each 50° and WX =…

A: Given, Isosceles triangle WXY and ABC. WY and AB are bases Angle X= Angle B= 50° WX=BC

Q: In the right triangle ABC, AB=2, BC=4, and ED is a line parallel to AB. Find the angle BAD which…

A: The triangle ABC is as follows

Q: 3.) AWXY and AABC are isosceles, with bases WY and AB respectively. If ZX and ZB are each 50° and WX…

A:

Q: Given: MT and HA intersect at B, (MA)(HT) and MT bisects HA Prove: MT = HA Part A: Annotate the…

A: Given : MT and HA intersect at BMA || HT and Mt bisect HAto prove : MT = HAIn ∆MAB and ∆ HBT

Q: Show that the two triangles are similar. Q P v and ZN so ALNQ AMNP.

A:

Q: In parallelogram ABCD, diagonals AC and BD are drawn and intersect at E. AE = x² - 24 and EC = 2x.…

A: To find AC¯.

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

A: Solution: To Prove △ADE≅△CBE

Q: 1. Prove that A(-3; 2), B(1; -6) and C(1; 2) are the vertices of a right-angled triangle a. By…

A: As per bartleby answering guidelines, we are supposed to answer only one question at a time. In case…

Q: Suppose two circles intersect at A and B. Let C and D be points А on one of the circles, let C'A…

A: Meet the point A to B.

Q: Where must the perpendicular bisectors of the sides of a triangle meet?a. inside the triangle b. on…

A: Where must the perpendicular bisectors of the sides of a triangle meet? a. inside the triangle  b.…

Q: A figure is shown. Select the conditions, which alone, guarantee that figure ABCD is a…

A: The figure shows that:

Q: ABC is a right-angled triangle at A. Show that, if AD is the per- pendicular from A to the…

A:

Q: Given: E is the midpoint of AB and CD Prove: ΔΑEC - ΔΒED C

A: Given that: E is the mid point of AB and CD