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.

Q: Write the following statement in "if-then" form: Two angles that form a linear pair are…

A:

Q: P- O In the given diagram lines P and L are parallel. Prove a+b =c a il

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)

Q: 1) Which of the following point sets are in general position? aj {(0, 1), (1,3),(2,5)}, b.) {(0,0),…

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…

Q: 1. Hannah is trying to justify to her geometry class that the 2 lines she drew, line a and line b,…

A: The points are given below.

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

A: Answer: ∠1 ≅∠3  .

Q: which ondered pair is a solution to the inquality 2x + 3y 2? e) (0,0) f) (w a) (-3,0) 3 b) (1,0) d)…

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

Q: 4. Which statement is never true for two planes? c) a) They intersect at a point b) The intersect at…

A: Which statment is never true for two planes

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

A:

Q: Find the intersection of the lines 2 x space plus space 3 y space equals space minus 7 and 3 x space…

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)

Q: Which line is the same as [x, y] = [1, -8]++[4, −3]? a) [x, y]=[2, 4]++[4, -3] b) [x, y]= [1,…

A:

Q: 1) Given that x and y are real numbers and x 0 determine with a clear explanation whether the…

A:

Q: 7) Deter mine wether the tuo lines bellow are paralle! skew or Tntersecting I they are paralel ar…

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,…

Q: Carolyn's Extreme Sports hires hang-gliding instructors and pays them a fee of $34 per class as well…

A: Given that Carolyn's Extreme Sports hires hang-gliding instructors and pays them a fee of $34 per…

Q: MP) Use Repeated Reasoning In Problems 14-16, a point is given that lies on a line passing through…

A: