GIVEN: AD is angle bisector of ZBAC AB AC PROVE: BD = DC B D C

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: В E F А D

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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: - equal rectangular lots are enclosed by fencing the perimeter of a rectangular lot and then putting…

A: let the length of the lots =L and breadth of the lots= x area of the lots = L×x It is given that…

Q: Find the measures of the numbered angles in the rhombus. Angle 1 = Angle 2 = Angle 3 = Angle 4 =

A: Here we find the angle Rhombus .

Q: ABCD is an isosceles trapezoid, E and F is the midpoint of line AB and CD respectively. If BC = 14cm…

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Q: . Given: ZABC is supplementary to ZCBD BÉ bisects ZABC BÉ bisects ZCBD Prove: ZEBF is a right angle…

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Q: Can you use the angle bisector theorem to solve for m2QSR? 66° Q R yes no

A: We have to use angle bisect theorem

Q: Consider the quadrilateral below. 23 W 112° 23 Y What is the measure of angle Z?

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Q: T. 109 R.

A: Properties of isosceles trapezoids  The base angles are equal in measure . ∴∠R=∠U The opposite…

Q: 4 For the quadrilateral (right), calculate: a the length JL, b angle KJL, c the length JM,

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

Q: riangle ABC is shown with exterior angle ZBCD. (12x-2)" 4x* (9x+10)*

A: The exterior angle theorem states that the measure of each exterior angle of a triangle is equal to…

Q: Give the side length. BC, given AC = 6, AC' = 18, and B'C = 21. %3D Ouesti Next Ouestion

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Q: Given that EF is the midsegment of trapezoid ABCD, what is AB? A В E 9.2 cm 12.6 cm

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Q: Use rhombus ABCD to answer the follwoing questions. AD= 10, AC = 16, and mZABC = 130° 130° A w D AB…

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Q: Find the measure of the three missing angles in the rhombus below. 114° z° to x = y = Z =

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Q: Find the measure of angle y, given that EF CB. A 40 F G 60 O 100 O 40 O 80 O 60 B. E O O OO

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Q: In AABC, D is the midpoint of AB and E is the midpoint of BC. If AC = 3x – 15 and DE = 6, what is…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: GIVEN: RT bisects angles STW and SRW. ARST = ARWT. PROVE: R W

A: Here in this question given that two triangles ∆RST And ∆RWT. And also given that line RT bisect…

Q: T R S

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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: In cirde P, if mQR = 110', mRS = 94', and M2QRT = 27, find each measure. %3D %3D R a) MZQTR = 55 d)…

A: Here we have,

Q: What type of construction is illustrated in the figure? A D o An angle congruent to ZD OThe…

A: Observe that the arc cutting are drawn from both the sides of arc on point D.

Q: Consider the quadrilateral below. 23 W 112 23 Y What is the measure of angle Z?

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Q: Given that AD bisects angle A, find the measure of DC. 10 B* 4 D

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Q: In rhombus ABCD, with diagonals AC and DB, AD = 10. If the length of diagonal AC is 12, what is the…

A: Using the given information, draw a rhombus and label it. In a rhombus, the diagonals are…

Q: In the diagram below of rhombus ABCD, AD= AC. Which of the following is the measure of ZBDC? (1) 30…

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Q: In the acconpanying diagram of A ABC, a right angle is at C, AB = 8, and AC = 4. Find BC. %3D A 12…

A: By the Pythagoras theorem, AB2=AC2+BC2

Q: Given that AD is the perpendicular bisector of BC, AB = 7.4, AC = 7.4, and BD = 3.2, identify BC. В…

A: Given that AB=7.4 AC=7.4 BD=3.2 and BC=? Since AD is perpendicular bisector it bisects the BC at 90…

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: 8) Use the diagram to find the angle measure, given that MZBAE =130° %3D a) MZBAC b) MZCAD (3x- 10)…

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Q: In the diagram below of triangle TUV,W is a midpoint of TU and X is a midpoint of UV. If mLW XU = 60…

A: Solution: The objective is to find the required angle

Q: D is the midpoint of AC, ED congruent to FD, angle EDA congruent to angle FDC. Prove AB congruent to…

A: Topic:- geometry

Q: B, Giveu : A ABC ~ A ADE Frud : BC EC BC %3D DE = 4 %3D Ac=16

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Q: F. 124 A 64 If AF 1 EF and AF 1 AD, find the measure of each interior angle of the irregular polygon…

A: Given that AF is perpendicular to EF which implies that the value of the interior angle AFE is 90o.…

Q: 225 106" В B. A, A,

A: Given - Geometrical Figures To Find - Angles

Q: D C В Q. Which two angles are congruent by the Vertical Angles Theorem?

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Q: Use the Triangle Rule to show that the vectors as shown satisfy u + v = v + u.

A: To Determine:  Use the Triangle Rule to show that the vectors as shown satisfy a+b=b+a Given: we…

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: - 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: In the diagram below of triangle RST, U is the midpoint of RT and V is the midpoint of ST . If mZT…

A: Triangle Question

Q: In triangle ABC (not shown), M is the midpoint of AB and N is the midpoint of AC.   If MN = 3x – 11…

A: Given: A triangle ABC with M midpoint of AB and N a midpoint of AC. MN = 3x-11 and BC = 4x+24 To…

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: Where P is the perimeter of a triangle whose inscribed circle has radius length r, the area of the…

A: Where P is the perimeter of a triangle whose inscribed circle has radius length r,the area of the…

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 the diagram below of trapezoid RSUT, RS || TU, X is the midpoint of RT , and V is the midpoint of…

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Q: In isosceles right A SPE, the measure of 2S = 90 and length SE = 12 V2. %D Rectangle PLCE with…

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