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1. Draw a conclusion for each of the following statements a) If three points are

ID: 3003506 • Letter: 1

Question

1. Draw a conclusion for each of the following statements a) If three points are not collinear, then they lie of one and only one plane. The three vertices of a triangle are not collinear. b) If a cube has a volume of 27 in3, then it has an edge of length 3 in. If a cube has an edge of length 3 in., then it has a surface area of 54 in2. ABCDEFG is a cube with a volume of 27 in3. c) If two lines are perpendicular, then the lines form right angles. If two lines for right angles, then the lines are perpendicular. 2 the converse, and decide if the both statement and its converse is true, write a biconditional Decide if the following statements are true or false, form converse is true or false, If equivalent to the two statements. a) If two angles are adjacent, then they share a common side. b) If triangle ABC has a right angle at C, then a2 + b2- State a conclusion that can be drawn from the following: a) rs, s b) p

Explanation / Answer

1A) The three vertices of a triangle always lie of on one and only one plane.

B) if and only if the side AB of a cube ABCDEF is 3 in long then its volume and surface areas will be 24 cubic in and 64 sq in.respectively.

C)if and only if the two lines are perpendicular, they form right angle.

2a) statement is true.now its converse : if two angles share a common side then they are adjacent, (which is also true).now its bi condional:if and only if two angles are adjacent, then they share a common side( true).

Given statement is true.

Converse: in triangle ABC if a^2+b^2=c^2 then C is right angle.(true)

Biconditional: if and only if a^2+b^2=c^2 then angle C is right angle on triangle ABC.(TRUE)