ABCD is a square and P, Q are the midpoints of BC, CD respectively. If AP = a and AQ = b, find in terms of a and b, the directed line segments (i) AB, (ii) AD, (iii) BD and (iv) AC.

Q: Given directed line segment AB, where A(0,0) and B(6,0). Determine the point P that partitions the…

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Q: Two parallel lines, m and n, are cut by transversal t, as shown in figure below. 1 /2 3/4 5 /6 7/8…

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Q: A. In AABC, Q, R, and S are the midpoints of segments BC, AC and AB, respectively. If AB = 30 cm, AC…

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

Q: Given: AABC with vertices A(-6,-2), B(2,8), and C(6,-2). AB has midpoint D, BC has midpoint E, and…

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Q: in the coordinate plane, quadrilateral ABCD has vertices A(-2,3), B(4,5), C(10,-1), and D(8,-9). Let…

A: In the coordinate plane, quadrilateral ABCD has vertices A(-2,3), B(4,5), C(10,-1), and D(8,-9). Let…

Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(8, 7,…

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Q: A parallelogram must be a rectangle when its A diagonals are perpendicular B diagonals are congruent…

A: Given: A parallelogram  must be a rectangle when its diagonal A) diagonal are perpendicular…

Q: Given the points M(-3,-4) and T(5,0), find the coordinates of the point Q on the directed line…

A: Q divides the line segment MT in the ratio of 1:3let the coordinates of the point Q be (x,y)

Q: If C is the line segment connecting the point (a1, b1) to the point (a2, b2), show that 3r dy – 3y…

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Q: Given the points A(-3,8), B(3,2), C(7,1) and D(5,-1). Is AB 1 CD? * O Yes, perpendicular O No, not…

A: Yes , the line AB and CD is perpendicular because the product of the slope of these two line is -1.…

Q: Find the value of x, y, and z in the parallelogram below.

A: Given,

Q: given the points M(-3, -4) and T(5, 0), find the coordinates of the point Q on the directed line…

A: according to given problem Ratio given 1:3 We will use here section formula which states that: If…

Q: Which of the following line segments is located in plane P? E B. CB BC OAE MacBook Air 000 000 DD 08…

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Q: Given the points A(-9, -4) and B(7, 8), find the coordinates of the point P on the directed line…

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Q: Given parallelogram ABCD with A(-2, -2), B(1, 2), C(4, -2), and D(1, -6), select all of the…

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Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(-2, -6,…

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Q: If M(4, 3) is the midpoint of the line segment AB, and if A has coordinates (1, -1), find the…

A: M4, 3 is the midpoint of the line segment AB and the coordinates of A are 1, -1.

Q: Given the points F(8,4) and G(-7,-6) what are the coordinates of the point that partitions the…

A: Given that points are F8,4 and G−7,−6. We have to find the coordinates of the point that partitions…

Q: The parallelogram (ABCD) has vertices at A(2,-1, 4), B(1,0, -1).C(1,2,3), and D, then

A: Let A(2,-1,4) , B(1,0,-1) , C( 1,2,3) and D(x,y,z) Let AC be one diagonal and BD be another…

Q: Let ABCD be a rectangle. The perpendicular bisector of the line segment BD intersects lines AB and…

A: let ABCD be a rectangle with vertex B at origin. let EF is the perpendicular bisector of line BD…

Q: Are lines h and j perpendicular?

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Q: Given the diagram below, what conclusions can you make if M2CBY = 65° and line XY bisects LABC? 65°

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Q: :Find the four angles of a cyclic quadrilateral ABCD in which <A =(2x-1)°, <B = (y+5)°<C=(2y+15)°…

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Q: 4 B |2 -8 -6 -4 -2 2 4 -2 -4 9- to

A: Given the directed line segment AB

Q: If x, y, and z are lengths of the edges of a rectangular box, the common length of the box's…

A: Length of rectangular box =x Breadth of rectangular box =y Height of rectangular box =z

Q: The midpoint of a segment can be found using the formulas for a directed line segment, x = (X2-X1) +…

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Q: Use the figure below and the given information to determine if lines m and n parallel. Figure not…

A: Explanation and solutions is given below.....

Q: Given the points A(-1, 2) and B(7, 14), find the coordinates of the point P on directed line segment…

A: Given: A(-1, 2) and B(7, 14) To find: The coordinates of the point P on the directed line segment…

Q: Use the diagonals to determine whether the parallelogram with the given would be a rhombus. ty B(3,…

A: Given:

Q: Consider ABCD, with A (-4, 4), B (1,6), C (–1, 1). and D( 6, 1). ABCD Is a parallelogram. Show that…

A: We know that, the diagonals of a parallelogram bisect each other at right angles. Therefore, mid…

Q: 5. Given that ABCD is a parallelogram, find the values for x and y. 7y-4 X+4 D AY 2х- 4

A: Solution:

Q: Suppose the points R1 and R2, P and P2, and Q1 and Q2 divide up the sides AB, BC, and CA of AABC…

A: Consider the given ∆ABC on a plane x-y B0,0, Ah,k, Ca,0 Points P1,P2; Q1,Q2 and R1,R2 divide lines…

Q: Suppose a line that appears parallel to side BC of ΔABC intersects sides AB and AC at points C and Y…

A: Suppose a line that appears parallel to side BC of ΔABC intersects sides AB and AC at points X and Y…

Q: Given that C is midpoint of AB, if A(-2,4) and C(3,-6), what are the coordinates of B

A: To find the coordinates of B

Q: If a line segment has endpoints A(2x + 7,4y) and B(4x + 3,- 2y), what are the coordinates of the…

A: A line segment has endpoints A2x+7, 4y and B4x+3, -2y

Q: Indicate whether the statement is true or false. If B is the midpoint of line segment AC and AB =…

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Q: Find the measures of the angles between the diagonals of the rectangle whose vertices are A = (1,…

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Q: A. In AABC, Q, R, and S are the midpoints of segments BC, AC and AB, respectively. If AB = 30 cm, AC…

A: We will answer the first question as we don't answer multiple questions at a time. Please resubmit…

Q: For a four-point geometry, how many other lines of the geometry are parallel to each line?

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Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(10, -7,…

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Q: For Fano's geometry, prove that the lines through any one point of the geometry contain all the…

A: Given detail: For Fano's geometry, prove that the lines through any one point of the geometry…

Q: Given the points M(-3,-4) and T(5,0), find the coordinates of the point Q on a directed line segment…

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Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(7, 2,…

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Q: Given the points M(-6,-4) and T(9,16) find the y-coordinate of the point Q on the directed line…

A: We have to solve

Q: Find the midpoint M of the line segment joining the points A = (7, 1) and B= =(1, 5). %3D %3D M = OD

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Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(7, -3,…

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Q: If M(6,8) is the midpoint of the line segment AB and if A has coordinates (2,3), fınd the…

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Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(2,…

A: Given points, A(1,1,3) B(2,7,1) C(4,10,-6) D(3,4,-4) Let a,b,c,d, are position vectors of point…

Q: Let M(4, –5) be the midpoint of a line segment joining two points A and B. If the coordinates of A…

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Q: Consider the quadrilateral with vertices at M(0, 0). N(a, 0), P(a + b. c), and Qlb, c). Explain why…

A: MN=a-02+0-02=aPQ=a+b-b2+c-c2=aMQ=b-02+c-02=b2+c2NP=a+b-a2+c-02=b2+c2 Clearly, MN=PQ  &amp;  MQ=NP