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sergeinik [125]
3 years ago
11

1.The coordinates of the vertices of triangle ABC are A(-1,3), B(1,2) and C(-3,-1).

Mathematics
1 answer:
Anastaziya [24]3 years ago
8 0
This is what I put "I used the m=y2-y1/ x2-x1 to solve for the slopes (-1,3) and (1,2) has a slope of -1/2. (1,2) and (-3,-1) has a slope of 3/4. (-1,3) and (-3,-1) has a slope of 2. I plotted this on a graph and came to the conclusion that is was an acute isosceles triangle."                 
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sweet-ann [11.9K]

Answer:

7 and the corresponding angle theorem

Step-by-step explanation:

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3 years ago
A conjecture and the two-column proof used to prove the conjecture are shown.
aliina [53]

Answer: the statements and resons, from the given bench, that fill in the blank are shown in italic and bold in this table:

    Statement                                                        Reason

1. K is the midpoint of segment JL                      Given

2. segment JK ≅ segment KL                             <em>Definition of midpoint</em>

3. <em>L is the midpoint of segment KM</em>                 Given

4. <em>segment KL ≅ segment LM</em>                           Definition of midpoint

5. segment JK ≅ segment LM                           Transitive Property of

                                                                             Congruence


Explanation:


1. First blank: you must indicate the reason of the statement "segment JK ≅ segment KL". Since you it is given that K is the midpoint of segment JL,  the statement follows from the very <em>Definition of midpoint</em>.

2. Second blank: you must add a given statement. The other given statement is <em>segment KL ≅ segment LM</em> .

3. Third blank: you must indicate the statement that corresponds to the definition of midpoint. That is <em>segment KL ≅ segment LM</em> .

4. Fourth and fith blanks: you must indicate the statement and reason necessary to conclude with the proof. Since, you have already proved that segment JK ≅ segment KL and segment KL ≅ segment LM it is by the transitive property of congruence that  segment JK ≅ segment LM.

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