Lines AB and CD are parallel. H B Which of the following transformations would prove that corresponding angles HGB and GFD are congruent? a) A rotation of line AB 180° about point G. O b) A rotation of line CD 180° about point G. A translation of the AB by the directed c) line segment GE. O d) A translation of line CD by the directed line segment FG.

Q: Y 10 9. -10 -8 -6 -2 10 -2 -6 -8 -10 Find the distance between points U and Vin the coordinate…

A: the point indicated areU(x1, y1)=(-7,-5)V(x2 ,y2) =(5 , -3)

Q: n the sketch at right, lines a, b, and c represent railroad tracks. Which of t arallel? Use angles…

A: Find the measure of angle 1 70°+∠1=180° straight angle Therefore ∠1=180°-70°∠1=110°  similarly find…

Q: Let A = –2a, + 5a, + a, B = a, + 3a, and C = 4a, –6a, + 10a.. (a) Determine A – B + C (b) Find A ·…

A: Given vectors: A=-2ax+5ay+az B=ax+3az C=4ax-6ay+10az

Q: Let ä= and b =. Find k so that a and b will be orthogonal (form a 90 degree angle). k=

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Q: The points P: (-2,0,0), Q: (0,1,1) and R: (1,2,1) are givena. determine the angle in the triangle…

A: Solution  a) To determine the angle at corner Q in triangle ΔPQR, we can use the dot product…

Q: Complete each statement about parallelogram ABCD. C AB|| | CD ZD mZB+mLC = (#) %23

A: Given is parallelogram A B C D  Parallelogram is four sides special type polygon whose opposite…

Q: 3. If there is change in angle contained by two sides. the average of the angle is a) Linear…

A: Solution is c)

Q: 4. Consider the triangle in R³ formed by the points (1, 0, 0), (0, 1, 0) and (0, 0, 2). Determine…

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Q: 7. Determine the following for any point P. a) Using the 30° angle as the angle of intersection,…

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Q: Find the angle #2 and # 5 when angle #= 48 Bisector 2 3 48 4 10 ग

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Q: In the figure below, lines m and n are parallel. Complete the sentence. m Angles 1 and 2 are…

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Q: The three points indicated form a triangle. A(1, 1, -1), B(1, 0, 1), C(0, -1, 1) Find the angle…

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Q: Which transt A'B'C are co

A: We see that the triangle A'B'C' is obtained by reflecting the triangle ABC over the y-axis.

Q: Let a=|2 and b=| 0 5 3 a) Find the projection of b onto Span a. b) Find the cosine of the angle…

A: The projection of 'b' onto the Span of 'a' can be visualized as, This projection vector must be…

Q: he midpoint of each lin

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Q: What is the angle between the planes 3x + 2y + 4z = 4 and 3x -y+2z = 1 to the nearest degre %3D O…

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Q: Title a) Find the angle between two straight lines with direction cosines respectively L(1),m_(1),…

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Q: Lilliana believes that point M is the midpoint of line segment AB. Which construction could she use…

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Q: Draw a figure for each situation described: a. Points A, B, C and D collinear. Point C is between B…

A: The solution is given below.

Q: In the figure below, UT is the angle bisector of LIUE and QE is a line. If M2TUE = (6x- 32) and…

A: Definition used -            Angle bisector - It is a line that bisects the given angles in two…

Q: Part A If lines l, m, and n are concurrent, then: Select one: a. they intersect at one point b.…

A: Defination: Two or more line are concurrent if they interact at a comment point.

Q: 3. For v = (1,2,3) and w = (1, -4,2), find v+w, 3w, vw, and the angle between v and w in radians and…

A: Here is the solution:

Q: A line OP through origin U is inclined at 30 which it is inclined to OZ.

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Q: Let P, Q, and R be the points at1 on the x-axis, 2 on the y-axis, and 3 on the z-axis, respectively.…

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Q: If A = (1,3,-3), B = (1,-1,0) and C = (-1,0,1), then the cosine of the angle <BAC is: - 24 725 1 24…

A: Step 1: Step 2: Step 3: Step 4: