For Exercises 1-9 classify each statement as true or false. 1. No more than one plane contains two given intersecting lines. 2. The conditional "p only if q'" is equivalent to "if p, then q." 3. If the vertex angle of an isosceles triangle has measure j, then the measure of a base angle is 180 – 2j. 4. In ARST, if m LR = 48 and m LS = 68, then RT > RS. JH 5. If right AJEH has hypotenuse JE, then tan J = ЕН 6. It is possible to construct an angle of measure 105. 7. The area of a triangle with sides 3, 3, and 2 is 42. 8. When a square is circumscribed about a cirele, the ratio of the areas is 4:7. 9. A triangle with sides of length V3. 2, and V7 is a right triangle.

Q: Why do the preceding results show that it is a rectangle? O A. Since m, = m3 and m2 = m4, 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: This first assignment (shaking off the rust) will be a review of some of the basic relationships and…

A: We have to prove that given identity:

Q: Show that the pair of bisectors of the angles between the straight lines (ax+by)?=c(bx-ay)², c>0 are…

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Q: Consider lines L, and L,. L4: x = 1 + t, y = t, z = 8 + t, t ER, L2: x – 9 = y – 1 = z - 9 (a)…

A: We have to find whether the lines are parallel or not if they are parallel then find the shortest…

Q: If m23 = 105°, what is the m/21 that will prove that lines p and r are parallel? %3D 12 56 4/3 8 7…

A: Given: m∠3=105° To find m∠21 such that line p and r are parallel. Solution: If line p and q are…

Q: For what values of a are the points (6, 2, 3) and (a, 2, 5) and the line r = (2,−1, −2) + t(3,1, −2)…

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Q: Which of the following is NOT true about the following diagram? O Lines a and b appear to be…

A: Given figure :-

Q: For Exercises 75-78, determine if points A, B, and C are collinear. Three points are collinear if…

A: Since you have asked question with multiple sub-parts, we are answering the first three sub-parts…

Q: Prove that given lines are skew. L1: [x, y, z] = [1, 3, 7] + t[–1, 1, 2] L2: [x, y, z] = [4, –2,…

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Q: Wishing to prove that / and m are skew lines. John began an indirect proofby supposing that / and m…

A: Given that l and m are skew lines.  Skew lines mean the lines which do not have the same slope,…

Q: 2. Sketch the set of points determined by the condition (a) Re(7 - i) = 2; (b) |27 + i| = 4.

A: Use the value of z to simplify the given equations. Now solve them to their simplest form and then…

Q: Which of the following is the correct definition for perpendicular lines? O Lines that intersect and…

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Q: 1. Look at this diagram: R U If PR and SU are parallel lines and mPQO = 111°, what is mZRQT? Explain…

A: We have to find the value of m<RQT where PR↔ and SU↔ are parallel lines and m<PQO=111° We…

Q: suppose that S = [a, b] x {0} is a closed line segment %3D in R?. Show that H' (S) = b a.

A: Here given as S=a, b×0 is a closed line segment in ℝ2. We have to prove that H1S=b-a

Q: Write an indirect proof in paragraph form.

A: Given: m∠1≠m∠2

Q: Which of the following conjectures is true for all cases about the lines in the image shown? A. If…

A: If two lines are cut by a transversal and,  if , Corresponding angles are congruent(i.e. equal),…

Q: 8. Lines p and q are intersected by transversal t as shown. What value of x proves that linesp and q…

A: Follow the procedure given below.

Q: 5. Given that the quadrilateral EFGH is a trapezoid, m/H=7S and m/HBG= 72 calculate m/FGE E F H G

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Q: アon) usweris X10 बप्कणs In the ry-plane, what is the perimeter of an equilateral triangle with one…

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Q: 4. In this figure, lines a and b are intersected by line t.

A: Answer: ∠1 ≅∠3  .

Q: 1. Which statement would not prove lines m and n parallel? 157° /h c/ g b/f a/e n. In the image, Zb…

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Q: Is it true that if you stretch a rubber band by moving one end to the right and the other to the…

A: Note:  The question can be interpreted by many ways. It can be seen from physics point of view by…

Q: Show that the pair of bisectors of the angles between the straight lines (ax+by)2=c(bx-ay)2, c>0 are…

A: TO  PROVE-  The pair of bisectors of the angles between the straight lines   (ax+ by)2 = c( bx-ay)2,…

Q: The intersection of plane A and plane S will be The intersection of lines n and k is W A x, Point X…

A: The intersection of two planes is a line. The intersection of 2 lines is a point The intersection of…

Q: Let point A = (m,n) and point B = (x,y). If A and B lie in one horizontal line and B is to the right…

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Q: Consider lines L, and L,. L4: x = 1 + t, y = t, z = 3 + t, te R, L2: x – 4 = y - 1 = z - 4 (a)…

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Q: Which of the following represents two lines that are coplanar and do not intersect?

A: We want to find the lines which are coplanar and don't intersect.

Q: Suppose that two lines Re((1+i)z+2i+3) = 0 and Re(2-bi)z+5) perpendicular. then b=. 0 are ||

A: We will convert the equation into cartesian form and then use condition for perpendicular lines

Q: If the four straight lines ax + by + p = 0, ax + by + q = 0, cx + dy + r = 0 |(p-4)(r-s) bс - ad and…

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Q: Determine if the following lines are intersecting, parallel, or skew. Line 1: x=1, y = 21+1, z = 31…

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Q: Consider points A, B, C, and D, no three of which are collin- ear. Using two points at a time (such…

A: Given information: A, B, C and D are four points in which no three points are collinear.…

Q: Suppose that two lines Re((1+i)z+2i+3) = 0 and Re(2-bi)z+5) = 0 are perpendicular. then b=.

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Q: 1 The diagram below shows the construction of AB ( through point P parallel to CD. P B C Which…

A: First we need to recognize the angles which are used in construction and then opt for the respective…

Q: We have learned how to "drop a perpendicular" from a point to a line using our unruled straightedge…

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Q: Indicate whether the statement is true or false. If coplanar lines r and s are cut by transversal t…

A: True

Q: 2.) Example: Prove the Symmetric Property for the line segments. Given: PQ XY Prove: XY PQ P. Y Q

A: For the given line segments PQ≅XY

Q: In a plane, if line f is perpendicular to line m and then fln. mln f || n n || f m || n

A: In the question we have to choose correct option.

Q: The question is in the picture. Also, there is an example of how it should look like/how it should…

A: Sketch the situation roughly Given: F, K, E are midpoints of AP, PB, PC respectively. Prove:

Q: Which of the following represents two lines that are coplanar and do not intersect? (A Perpendicular…

A: Given that Two line that are coplanar and do not intersect

Q: (a) is the pazint (2,-2, 1s The point (2, I, 5) on the ime? explain ) fiad he paint where the line…

A: This is a problem of 3D geometry and parametric forms of straight lines in 3D.

Q: Show the lines (x, y, z) = (5 + 2t, 3 + 2t, 1 – t) and (x, y, z) = (13 – 3r, 13 + 2r, 4 + 4r) are…

A: Given:- Show the lines (x, y, z) = (5 + 2t, 3+2t, 1- t) and (x, y, z)= (13-3r, 13 + 2r, 4 + 4r) are…

Q: A. Suppose that in triangle ABC, the ray which bisects angle A meets the opposite side at D. Prove…

A: Draw a line parallel to bisector line AD to meet line AC at E

Q: Given ∡ 2 + ∡ 3 = 180°∡ 2 + ∡ 3 = 180°, which theorem proves the lines r and s parallel.

A: If two parallel lines are cut by a transversal, then same side interior angles are supplementary.…

Q: During class Omar is attempting to reproduce the construction of a line segment through point P that…

A: Step by step explaination given below,