52 Use congrventangui and the aragram to prove. that oppusie 'angus or a páraielogram.are conyvent.

Q: Compute the area of a triangle with vertices A(7,3,4), B(1,0,6) and C(4,5,-2).

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Q: Find side length for EH

A: By the properties of polygons:- Two polygons are similar, if their corresponding sides are…

Q: How many triangles can be drawn in a plane using 8 non-collinear points?

A: How many triangles can be drawn in a plane using 8 non-collinear points?

Q: Determine the sum of the interior angles of a convex nonagon degrees

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Q: the Singulaibies and pole of fle) = Discurs ze Sinz

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Q: Find the area of the triangle by the points (8,-5) ,(-2,-7) and (5,1) by using herones formula

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Q: Find an angle between o' and 360° :or between o and zJU that is cotermingl to the 8iven angle.

A: To find the coterminal angle.

Q: What are the coordinates of the point on the directed line segment from (-10, –10) to (6, –2) that…

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Q: What are the coordinates of the point on the directed line segment from (-3, 8) to (6, –4) that…

A: Section formula is the concept we are using here..    x, y =  mx2+nx1m+n , my2+ny1m+n  Are the…

Q: What are the coordinates of the point on the directed line segment from (3,-3) to (7,5) that…

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Q: What are the coordinates of the point on the directed line segment from (-1, –6) to (8, –3) that…

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Q: The LL theorem states that for right triangles, two congruent sufficient to prove congruence of the…

A: Here we have,  The LL theorem states that for right triangles, two congruent ......................…

Q: Construct a regular pentagon in a circle of radius 2 units.

A: Given, a regular pentagon in a circle of radius 2 units.

Q: Excercise 9 Prove that the bisectors of the interior angles of a triangle are concurrent at a point…

A: Let ABC be a triangle  We first make two angle bisectors and then prove third line from the…

Q: prove that for any arrangement of 31 figures on a chessboard, there are 3 places on which there are…

A: As there are 64 places on a chessboard, after filling 31 figures, there will be 33 vacant places.…

Q: Sketch the triangle with vertices O, P = (7,0, 3) and Q = (0, 5, 4) and compute its area using cross…

A: To sketch the triangle with vertices O, P=7, 0, 3, Q=0, 5, 4 and compute its area using cross…

Q: 7. Show that points (6, 1), (2, - 4), and (-2, 1) belong to an isoscles triangle.

A: 7. In this question we have to show that the given points belong to an isosceles triangle. Isosceles…

Q: What are the coordinates of the point on the directed line segment from (-6, 7) to (9, –5) that…

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Q: is a line or segment that extends from one vertex of the triangle and meets the opposite A(n) side…

A: Consider the statement  A(n) ...............is a line or segment that extends from one vertex of the…

Q: where tanget line goese through exatly ?

A: The tangent is the point that touches the curve. let P be a point on the curve. then the tangent to…

Q: What are the coordinates of the point on the directed line segment from (4, 3) to (9, 8) that…

A: Our Aim is to find the coordinates of the point on the directed line segmentfrom (4,3) to (9,8) that…

Q: What are the coordinates of the point on the directed line segment from (3, 3) to (7,-5) that…

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Q: Prove that the point (3,0) ,(4,5),(-1,4) and (-2,-1) taken in order,form a hombus ,also find its…

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Q: What are the coordinates of the point on the directed line segment from (4, 3) to (9,8) that…

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Q: Prove that the line segment joining the mid-point of a sides of a triangle,divide it into 4…

A: Let PQR be a triangle. Let, D, E, and F are the midpoints of the sides AB, BC, and CA respectively.…

Q: 7. Paralelogram MNOP with verlices M1,7), N(8, 5), O(4, 2). and P(-3, 4): 180°

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Q: What are the coordinates of the point on the directed line segment from (-1, 4) to (8, -8) that…

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Q: These two parallelograms are simi. 10 8. 3.75 O A. X = 3 о в. Х 3D3.5 C. X = 5 O D. X = 6.25 %3D

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Q: What are the coordinates of the point on the directed line segment from (3, 3) to (10,-4) that…

A: General formula

Q: How does the AA Similarity Postulate work and how can I prove if two triangles are similar with it?

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Q: What are the coordinates of the point on the directed line segment from (–10, –3) to (2, –3) that…

A: Use section formula to find coordinate.

Q: What are the coordinates of the point on the directed line segment from (-8, 2) to (7,–3) that…

A: The line segment from (-8,2) to (7,-3) into a ratio of 3 to 2.

Q: What are the coordinates of the point on the directed line segment from ( 1,9) to (3,-7) that…

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Q: Using intermediate Jalue theorem, the Pont functiun Pin) - -xs_0,5 has a soot 2²-0,5 has a rost Over…

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Q: Find the area of the triangle having vertices at P (1,3,2), Q (-2,1,3) and R (3,-2,-1)

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Q: what solid is formed when a right triangle is rotated around a line containing one of its legs

A: When a right triangle is rotated around a line containing one of its legs, a cone is formed .

Q: What are the coordinates of the point on the directed line segment from (-1, 4) to (8,-8) that…

A: Let P =(-1,4), R = (8,-8) and Q be the point that partition this line segment in the ratio 2:1. We…

Q: Prove analytically that in any triangle the perpendiculars drawn from the vertices upon the opposite…

A: Given-  the perpendiculars drawn from the vertices upon the opposite sides. To prove-the altitudes…

Q: Compute the angle between the diagonals on two adjacent faces of a cube.

A: Consider the cube below where origin is one of its vertex, Let O be the origin and OD and OB be the…

Q: Draw three shapes that are symmetric. Draw at least one line of symmetry through each shape to prove…

A: The symmetric shape's are given below

Q: Find the area of the triangle having vertices at (-2, 3, 1). (1, 2, 3), and (3,-1, 2).

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Q: Show that the quadrilateral having vertices at (1, −2, 3), (4, 3, −1), (2, 2, 1) and (5, 7, −3) is a…

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Q: 5. Prove that the diagonals of any parallelogram divide the parallelogram into 4 triangles of equal…

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Q: Choose two figures which are topologically equivalent to eaci

A: Two figures are known to be  topologically equivalent if  we can transform one figure into the other…

Q: Evaluate ſc zsin(2²) dz where C is the union of the lower-half of the unit circe in clockwise…

A: The complete solutions are given below

Q: What are the coordinates of the point on the directed line segment from (–10, –1) to (10,-6) that…

A: If a point on the directed line segment from (x1, y1) to (x2, y2) partitions the segment into a…

Q: Select the statement that makes the following conclusion from th If ZYUK is a right angle, then UK…

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Q: A dart board consisti radius 1, 2 placed against a wa which lands at some hc

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Q: Find the  area of the triangle with vertices P(1,3,5) Q(-1,4,-4) and  R(1,5,4)

A: P1,3,5 Q=-1,4,-4  R1,5,4PQ=OQ-OP     =-i∧+4j∧-4k∧-i∧-3j∧-5k∧PQ=-2i∧+j∧-9k∧PR=OR-OP     =i∧…