In the diagram, O is the centre of the circle and A, B and D are points on the circle. Use Euclidean geometry methods to prove the theorem which states that. AÔB = 2BDA. %3D Then State the theorem in shortened vérsion.

Q: 2. The endpoints of the diameter of a circle are M (8, 4) and N (3, 1). Which point is the centre of…

A: It is given that, The endpoint of the diameter of a circle are M(8,4) and N(3,1). We have to find…

Q: the area of a sector of a circle with a central angle of 140 is 70m^2. find the radius of the circle

A:

Q: Show that the points (a,a),(-a,-a) and (-V3a, v3a) are the За vertice of an equilateral triangle.…

A: Given the co-ordinate of a triangle Let A=(a,a)B=(−a,−a)C=(−3a,3a)

Q: quadrilateral TAEO is circumscribed around circle D. The midpoint of = R, and HO = PE. D. Z E If TH…

A: Given figure is: In the given figure, quadrilateral TAEO is circumscribed around circle D. The…

Q: which best describes the construction of a triangle if given line segments 10cm,5cm,4cm?

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

Q: In the figure given below, AB is a diameter of the circle with center 0. If m ZABC = 30° and m ZCAD…

A: We are given the following figure. We are also given that m∠ABC=30° and m∠CAD=140°. We know that…

Q: Find the lengths of the sides of the triangle PQR. P(5, –2, –1), Q(9,0, 3), R(11, –4, –1) Is it a…

A:

Q: What is the length of AB? AB and BC are tangents to the circle. 7x+5 x+23

A: Circle question

Q: In a right triangle, with legs a and b and hypotenuse c, thePythagorean Theorem states that_________

A: It is given that, In a right triangle with a leg a and b and hypotenuse c.

Q: A graphic designer created a prellminary sketch for a company logo. In the figure, BC and CD are…

A: ABCD is a Irregular Polygon Defination of Irregular Polygon  -                 Any polygon that is…

Q: 7. In the circle, mBC = 62°. The diagram is not drawn to scale. %3D

A: If a tangent and a chord intersect at a point on a circle, then the measure of each angle formed is…

Q: Construct a rectangle with sides of lengths c and d.

A: Given

Q: In the diagram below, quadrilateral ABCD is inscribed in circle P. 110 72 What is mZADC? In circle A…

A: Given,

Q: If mZABC = 2.5x - 20 and mAC = 4x-5, what is mBD?

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: In the following sketch, O is the centre of the circle. AD = AC. AC=3 cm and BD=1 cm. B Determine,…

A: Angle subtended by a diameter at circumference of a circle is always 90 degree.

Q: In parallelogram ABCD, find, to the nearest degree: a) mZA b) mZB A B 10-

A: Given a parallelogram ABCD. we have to find measure of A and B

Q: rve, A(0,1) and what Is the length of the sement between the points ?

A:

Q: 2) Construct the Circumscribed circle of the triangle below. Show all arcs and steps, and place all…

A: Topic:- geometry

Q: Find the measures of the angles of the triangle whose vertices are A = (-1,0), B = (2, 1), and C =…

A: A=(-1,0) B=(2,1) C=(1,-2)

Q: A quadrilateral ABCD is inscribed in a circle, if AB = 90 cm, CD =70 cm, = 101.76 cm. respectively.…

A:

Q: In circle A below. points B, C, and D lie on the circle, and MLBCD = 60. %3D 60 [Seec MLDAB= degrees…

A: Angle subtended at the centre of the circle is double the angle subtended at any other point on the…

Q: Use the converse of the Pythagorean Theorem to show thata triangle whose sides are of lengths 11,…

A: The converse of the Pythagorean Theorem is: If the square of the length of the longest side of a…

Q: Consider a right triangle with right angle C. If b= 32ft andc- 51ft, find all missing sides and…

A:

Q: For the four-line geometry. a. How many triangles exist in the geometry in which all three sides are…

A: We have to find the number of triangles exist in a four point geometry.

Q: The coordinates at the vertices.A.B, and C of the triangle ABC are (-3,7), (2,19), and (10,7)…

A: Given,  The coordinates of vertices of triangle A-3, 7  B2, 19  C10, 7   We have to find the length…

Q: Determine if AB is diameter of the circle: 3 E O True O False

A: A diameter is a Line joining from one end to another end of the circle passing through the center.

Q: In a right triangle, with legs a and b and hypotenuse c, thePythagorean Theorem states that .

A: In a right triangle, with legs a and b and hypotenusec, the Pythagorean Theorem states  that______

Q: In the figure, the side BC of AABC touches the circle. The sides AB and AC are produced to touch the…

A:

Q: Find the measures of the angles of the triangle whose vertices are A(1,0), B(2,1), and C(1,–2). 4.

A: Given : A(1,0) B(2,1) C(1,-2)

Q: The coordinates at the vertices A,B, and C of the triangle ABC are (-3,7), (2,19), and (10,7)…

A:

Q: Find the area of a triangle if a = 4 km, b = 5 km, and c = 7 km. (Roun |km?

A: area of the triangle by heroes is  area = ss-as-bs-c where s=a+b+c2

Q: Which figure has only one line of symmetry? OA. rhombus OB. circle OC. isosceles triangle OD. square

A: We have to find which figure has only one line of symmetry.

Q: Suppose you have a right triangle with side lengths 26, 24, and 10. Which lengths represent the legs…

A:

Q: Which rule explains why these triangles are similar? F

A: To prove- given triangles are similar.

Q: 9. In the diagram of circle 0, diameter AB is parallel to chord CD. If mAC = x+ 9 and mBD = 4x – 12,…

A:

Q: Which of the triangles below would have the smallest incircle?

A: Circle inscribed in a triangle and touching all the sides are called incircle of that triangle.

Q: 29. In triangle GHJ below, points A, B and C are midpoints of the sides. А G When AB 3x + 8 and GJ =…

A:

Q: Use similar triangles to find the coordinates of the point Q that di- vides the segment from P1(x1,…

A:

Q: If RS = 40, ST = 41, and RT = 11, is ARST a right triangle? Explain. %3D %3D %3D

A: Check by Pythagorean theorem

Q: of a circle is tr?, rence of a circle is he circumference

A: Our  Aim is to express the circumference of circle in terms of Area=?

Q: Which of the following is four-point geometry? 3. ok ms

A:

Q: Identify the triangle congruence postulate illustrated by the folawing figures. Write your answer on…

A: There are five traingle postulates to show two triangle are congruent SSS : Side Side Side is the…

Q: Use the Pythagorean Theorem's converse to prove that a triangle with sides of lengths 11,60, and 61…

A:

Q: Tiven: DEFG is a rectangle, WE YG, WX YZ Prove: WXYZ is a parallelogram.

A:

Q: Why are these triangles congruent?

A: The triangles XYZ and XZW are given, we have to show that they are congruent.

Q: Based on the measures provided in the diagram, determine the measure of ZBDC. (You may assume that…

A: Given figure is

Q: Construct an equilateral triangle & a square from a wire of 100m together, such that their area is…

A:

Q: 1. The center of the circle is Q. Q 22.5 P 'R What is mRTP?

A:

Q: In the given figure, the quadrilateral circumscribes a circle. What is the perimeter of JLNQ? M

A:

Q: A circle is circumscribed about an equilateral triangle of area 12V3. Find the area of the circle.

A: Given that area of triangle = 123. We have to find the area of circle.