1 Line A: y = x+ 2 Line B: y = Line C: y = -2x + 4 Line D: y = 5 + 4 Which lines are perpendicular? A) A and B B) A and C C) B and C D) A and D 1/2

Q: Calculate the midpoint of line segment AB with points A(1, 4) and B(3, 6). A.(5, 8)

A: What I want to find in this question. here i solve question by two methods.

Q: Determine whether the statement " If two lines L1 and L2 are each parallel to a plane, then L1 and…

A: Two lines  L1 and L2 can be perpendicular to each other and be parallel to the same plane at the…

Q: Decide if this statement is valid or invalid. If 3 points are on the same line, then they are…

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Q: Which statement is true about parallel lines? O A They intersect and are coplanar. O B. They…

A: Ans. Is option C.

Q: If a plane intersects two parallel planes, then the intersection is OA. a point OB. two…

A: When a plane intersects another plane we get a line.

Q: Exercise no. 5 Given: Line l and line m are perpendicular 22 26 Prove: 25 26

A: Given:  Line l and line m are perpendicular.∠2≅∠6 To Find: To prove ∠5≅∠6

Q: Find the intersection point of the two lines: [x, y, z] = [–2, 3, –3] + t[1, –1, 2] and [x, y, z]…

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Q: II. Use coordinate geometry to prove that the diagonals of a rectangle. congruent. are

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Q: True or false?a. Two lines perpendicular to a third line must be parallel.…

A: a. Two lines perpendicular to a third line must be parallel                          : False…

Q: Direction and Midpoints

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Q: Show that the vertices of any rectangle are co-circular by using the converse of the Power of point…

A: Geometry

Q: Postulate 12 states that if two points lie in a plane, the line that contains them lies in the…

A: We need to determine whether the given statement is true or false. Postulate 12 states that if two…

Q: Lines a, b, c, and d are distinct lines in the same plane. Decide if lines a and d are parallel,…

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Q: Exercises-Set III: | - Parallel lines 1) Given: [AB] // [DC] and B= D. A B Prove that: Â =Ĉ. C.

A: As per our guideline we are allowed to do 1 question at a time. Please post other questions next…

Q: "The intersection of two planes is a line" is a statement that is generally accepted as true, but…

A: Since a Postulate is a statement which is assumed to be true without any proof.

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

A: Draw the diagram as shown below : Calculate the cordinates of L .L=a+02,b+02=a2,b2Calculate of…

Q: If M is the midpoint of the line segment joining points A and B, and A is the point (-2 , 1) and M…

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Q: Lines q, r, s, and t are distinct lines in the same plane. Decide if lines q andt are parallel,…

A: Given:-   Lines q, r, s, and t are distinct lines in the same plane. Decide if lines q and t are…

Q: i = [4,24, 46] = r·õ+B so that i = [-4, 1,7] and B is perpendicular to

A: Introduction: The dot product of two vectors lies in the same plane as the two vectors. if two…

Q: The distanced of a point P to the line through points A and B is the length of the component of AP…

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Q: Line d passes through points (10, 7) and (1, 11). Line e passes through points (10, 8) and (1, 12).…

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Q: Draw the image of quadrilateral ABCD under the translation (z, y)-(-7,y+1).

A: from the diagram coordinate of quadrilateral ABCD   is   A(6,-5)    B(0,-3)     C(5,-2)   and (5,-4)

Q: In Exercises 23-30, find the distance between the two points. (Ser Erample 4. 23. A(13.2) and B(7,…

A: Given that: 23. A(13, 2) and B(7, 10)24.C(-6, 5) and D(-3, 1)25. E(3, 7) and F(6, 5)     NOTE: As…

Q: Prove using coordinate plane that the diagonals of an isosceles trapezoid are congruent.

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Q: Three noncollinear points determine three lines, as was shown in Figure 9.2. (a) How many lines are…

A: Given- Four points, five points and n-points. To find- The number of lines formed by above points.…

Q: The coordinates of the midpoint of line AB are (2,4). and B (3,7). What are the coordinates of A?

A: Here given as The coordinates of the midpoint of line AB are (2,4). and B (3,7). Let coordinate of A…

Q: Lines q, r, s, and t are distinct lines in the same plane. Decide if lines q and t are parallel,…

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Q: Let abcd be a rectangle. the perpendicular bisector of line segment bd intersect ab and bc in point…

A: Given that ABCD be a rectangle, the perpendicular bisector of line segment BD intersect AB and BC in…

Q: Which supplementary angles can prove that lines L and M are parallel? 3 4 5 6 7 8 M- A. 7 and 8 B. 4…

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Q: Determine whether the ff. are Always True, Sometimes True, or Always False. 1. If plane ABC is…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: In trapezoid RSTV, line segment ?? is parallel to line segment VT and M and N are the midpoints of…

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Q: Prove that parallel lines determine only one plane.

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Q: Find the distance between the parallel planes 10х — 5у — 52z — 26 — 0. 2х + у + 2 %3 0 and - - NOTE:…

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Q: Two lines parallel to a plane are parallel. True False

A: Two lines parallel to a plane are parallel . Determine whether it is true or false?

Q: Vhich theorem justifies this method of construction? If two lines in a plane are cut by a…

A: Given two lines AB↔ and CD↔. Now AB↔ is constructed through point P and is parallel to CD↔. We need…

Q: In Exercises 2 and 3, determine which lines, if any, must be parallel. Explain your reasoning by…

A: 2) l and m are parallel  n and p are parallel

Q: 6. JaMarcus claims that (2,1) is the point of intersection of the lines y = 5x-3 and y=-4x+6. Is he…

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Q: 4. The figure shows lines r, n, and p intersecting to form angles numbered 1, 2, 3, 4, 5, and 6. All…

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Q: 3. Can a plane intersect two planes that are not parallel so that the inter- sections are parallel?…

A: To Explain: Whether it is possible or not that a plane intersects two planes that are not parallel…

Q: Lines q, r, s, t, and u are distinct lines in the same plane. Decide if lines q and u are parallel,…

A: We will use the graph method to find solution to the problem.

Q: What do they mean by perpendicular?

A: Let given vectors be A=120 B=-42x C=6-33

Q: 11. C(2, 5), transverse axis horizontal of length 10, conjugate axis of length 4

A: To find the equation of hyperbola given the following conditions: C(2,5) Length of transverse…

Q: 3. Explain why if u and v are perpendicular, u x v= uv.

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Q: The figure shows lines r, n, and p intersecting to form angles numbered 1, 2, 3, 4, 5, and 6. All…

A: To choose: The option that gives enough information to conclude that the line r is perpendicular to…

Q: Suppose three points in a plane are defined as:  A ≔ (–3, –5) B ≔ (–10, 19) and C ≔ (6, 7)  where…

A: Suppose three points in a plane are defined as:  A ≔ (–3, –5) B ≔ (–10, 19) and C ≔ (6, 7)