10 In the diagram below of circle O, OB and OC are radii, and chords AB, BC, and AC are drawn. A Which statement must always be true? (1) ZBAC LBOC (2) MZBAC = MLBOC (3) ABAC and ABOC are isosceles. (4) The area of ABAC is twice the area of ABOC.

Q: 2. Given: mLAOB = 55° %3D AOBC is equilateral; OA, OB, OC, and OD are radii of circle O. Find: (a)…

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Q: Which of the following is a three-point geometry? 3.1

A: To find which of the given figure is three point geometry .

Q: In this section you are to provide short answers to each question. 1. (a) Identify each as a line,…

A: In the questions. 1a,b) i)AB represents a line segment. It has both the end points ii)-->AB…

Q: 3. (a) Suppose AABC is a triangle on the unit sphere S and suppose A = π/4, B = π/3, and C= π/2.…

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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: 7) At the right is the top view of a Chemistry Butiding in UP Diliman. It resembles the famous…

A: The sum of a polygon's internal angles: The following formula is used to determine the sum of…

Q: Line ATB touches a circle at T and TC is a diameter. AC and BC cut the circle at D and E…

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Q: 9. Given cyclic quadrilateral ABCD shown in the diagram, and the measure of arc CDA 250°, find the…

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Q: There were 2 small circles C1 and C2 inside a large circle AB. AB is a diameter of the large circle.…

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Q: Return to Module 1. Suppose two chords BB' and CC' of a circle intersect at A. Let the arc BC have…

A: To solve above we need  1.Inscribed angle property of circle 2. Exterior angle property of triangle…

Q: When the building rotates 45°, the corner that was located at point A is now located at point E.…

A: Given:A point E is achieved after rotating a point A by 45°.           (1) Similarly:A point H is…

Q: A, B, C and D are four points on a circle. AC and BD intersect at a point E such that z BEC 130 and…

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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: wollo 6. Points A, B, and C are chosen on a circle. If AB = AC and BC = 72° %3D %3D find AB and AC.…

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Q: 1. Solve for the interior angles (in degree) of H and I of the triangle defined by the three points…

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Q: The coordinates of the vertices of AABC are A(0, 0), B(6, 2) and C(2, – 4). What are the coordinates…

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Q: Three people are standing on a stage at points X, Y and Z as seen bolow in the given picture. In…

A: Solution : We have given the position of 3 people are at X,Y and Z and they form a triangle △XYZ.…

Q: let A=(2,1) B=(0, sqrt(5)) and C= (0,1) show that the sum of the hyperbolic angles of triangle ABC…

A: Given - let A=(2,1) B=(0, sqrt(5)) and C= (0,1) To show - Show that the sum of the hyperbolic angles…

Q: The figure below shows an isosceles triangle PQR, where |PQ|=|PR| and a rectangle ABCD drawn inside…

A: The formula to calculate the area of a rectangle is A=l·w, where l and w are the length and width of…

Q: 1. Name two segments shown in the figure. R A СМСМ and 2. What is the intersection of RN? 3. Name…

A: 1. Given: We have to name two segements in the figure.

Q: M РА122° 60° 52 S. R. If in the given figure center of a circle P , is joined to points Q, R, S andT…

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Q: 8. Given right triangle AABC, with mzB = 90°. After a reflection over the y-axis, the image of AABC…

A: Reflection of triangle

Q: Example 2: Find the following values for OP. mAC = (4x)° and mBC = (x + 78)° %3D A) mAC = P. B) mDC…

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Q: In O0, mCA = 130° and AB CD. Also, the center of the circle, %3D point O, is the intersection of CB…

A: Given that:

Q: 6. Use equilateral AXYZ with center C to express the length of each segment in terms of the side…

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Q: 9. Suppose z1, z2, z3 are the vertices of an equilateral triangle inscribed in the circle |z| = 2.…

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Q: 4. Points A(xA , YA), B(xB,YB), and C(xc,Yc) form a triangle AABC. Let D, E, and F be midpoints of…

A: Using coordinate system we can prove two triangles are similar using distance formula. If length of…

Q: 2. ABC is tangent to the circle O at B; DB and EB are chords, BF is a diameter. If BE = 100° andZABD…

A: Sum of angels in a triangle is 180°.

Q: 9. Suppose z1, z2, Zz are the vertices of an equilateral triangle inscribed in the circle |z| = 2.…

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Q: I 1. All of the vertices of an inscribed polygon are on the circle. True False

A: Polygon is a plane figure that is closes in a space using only line segments.

Q: In the circle, chords AB and CD intersect at point P. If mLAPD = 60° and mAD= 70°, find mCB. %3D %3D

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Q: 1. If two triangles ABC and abc are perspective from point P and if sides Aa, Bb, and Cc intersect…

A: The given two triangles ABC and ABC are perspective.

Q: In the diagram of circle O, OB and OC are radii, and chords AB, BC, and AC are drawn. Which…

A: Given- In the diagram of circle O, OB and OC are radii and chords AB, BC,AC are drawn . To Find-…

Q: In an acute angled triangle AABC, BD, CEare heights. If the line DE intersects the circumcircle of…

A: To prove: ∠APQ = ∠AQP i.e. ∠4 = ∠5.   Construction: Draw CE⊥AB          (CE is an altitude)Draw…

Q: Q 27. Martin wants to inscribe a circle in scalene Triangle ABC. B A Which construction method can…

A: The angle bisectors of the interior angles of the triangle meet at the incenter of the inscribed…

Q: 1. If P(0) is a point P(@)? on the unit circle and 0 = , what are the coardinates of %3D

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Q: - Give segments a, and b, construct a point which divides segment LM in the ratio a: b. (can…

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

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Q: 10. In the accompanying diagram of cirele 0, chords AB and CD intersect at E and mAC mCB mBD…

A: First solve for the Arc and find them than use chord intersection formula.

Q: 5) Find a, b, c, and d in this rhombus (you will need a calc- nearest 10th). 400 12 C- Co

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Q: An engineer wants to position three pipes at the teheat vertices of a triang le as shown in the…

A: Since there are multiple questions present and you have not specified which question to answer,…

Q: Show that the triangle whose vertices are P(2, - 1), Q(-6,- 3), and R(10,7) is isosceles. Find the…

A: Distance between two points A(a, b) & B(c, d) is given by AB=(a-c)2+(b-d)2

Q: Let A = (5− √24,0), B = (0,5− √24), and C = (0,0) be points in the Poincar ́e Disk. The hyperbolic…

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Q: 182 CHAPTER 3 Foundations of Geometry 2 (b) Drag Cto such a position that ray BC lies exterior to…

A: 10. Given two concentric circles such that: OA and OB are radii of smaller circle. and, ∠OAC≅∠OBD……1…

Q: (a) With usual notations, show that the circumcenter G of a triangle AABC is given in barycentric…

A: Condider the figure: The circuncenter G. If R is the circumradius, the coordinates of G…

Q: 12. In the figure, a circle is inscribed in a quadrilateral BCDE such that P, Q, R, S are the points…

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Q: Which of the following is false? O A. The diagonals of an isosceles trapezoid are the different…

A: We analyse each option for finding the false statement.

Q: Suppose two hexagons together represent the “whole”, or 1 What fraction does each of the following…

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Q: (b) The extremities of 2 diameters of a circle are vertices of a quadrilateral. O is the centre of…

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Q: 2. Given: MLAOB = 55° AOBC is equilateral3; OA, OB, OC, and OD are radii of circle O. Find: (а)…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.