36. What is the equivalent statement of the conditional: "if three points are non-collinear, then they form a unique plane."? If three points are collinear, then they do not form a unique pla ne. If three points form a unique pla ne, then they are non-collinear. 37. what is the equivalent statement of the converse: f the Lines do not intersect, then they are parallel."? If two lines intersect, then they a re pa ra llel. If two lines are parallel, then they never intersect. 38. What will be the valid conclusion for the given hypothesis: "If m 4 1+mz 2- 90, Then they a re congruent. Then they a re complementary.

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A:

Q: 7. Given A(3,1,0), B(1,0,2) and C(5,2,−2) determine the following: a. AB b. AC- c. Are points A, B,…

A: The objective of the question is determine the distance and check the collinearity of points.

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A: Given the diagram is

Q: 11a) Are the two lines parallel? Show work 4 (3, 2) -30] 2. (5,-1) 【け1.-B12 2

A: Given: Co-ordinates of line l1=(-3,0) and (3,2) Co-ordinates of line l2=(-1,-3) and (5,-1)

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A:

Q: 6. Prove that two quadrilaterals are congruent if a side, angle, side, angle, side of one are equal…

A: This can be proved by using the definition of congruence. Two figures or objects are congruent if…

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A: The points are given below.

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

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A: Concurrent: A number of lines are concurrent if they have exactly one point in common. Two or more…

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

A: Answer: ∠1 ≅∠3  .

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A: As per guidelines we can answer only one question at a time so if you need more answers kindly…

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A: Which statment is never true for two planes

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A: Given : To find : The statement 3 and give the reason.

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Q: 10 21 11) 11 +42 = 12) 277 +85= 13)71 - 300 =

A: Mixed Number :-  a number combination of a whole number and a fraction.

Q: 8. What is the necessary condition for two lines to be parallel?

A:

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A: From the given statement the lines are 2x +3y = -7 and 3x - 2y = 9.Solving the equations as follows.

Q: Given the points O(0,0), A (-15, -9), and B(12,-20), are re OA and OBbperpendicular?

A: Given, O(0,0) , A(-15,-9) and B(12,-20)

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A:

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Q: 36. What is the equi valent statement of the conditional: "If three points are non-collinear, then…

A: To solve the given problem related to logically reasoning and geometry.

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A: Step:-1 Given that  L1 : x-12=y=z-14,  L2 : x=y+22=z+23 L1 : x-12=y=z-14=t  (say),   ⇒x-12=t⇒x=2t+1,…

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A: