1) The triangles are congruent by SSS.
The two tick marks indicate two pairs of congruent sides; it is evident that the third side is congruent by the way the diagram is drawn - the bases of the triangles are together and appear to be the same length.
2) The triangles are congruent by SAS.
The two pairs of tick marks indicate congruent sides, and their included angles are congruent because they are vertical angles, and vertical angles are always congruent.
Answer:
√89
Step-by-step explanation:
√(x2 - x1)² + (y2 - y1)²
√(9 - 1)² + [-6 - (-1)]²
√(8)² + (-5)²
√64 + 25
√89
Hey there, Lets solve this problem together.
The First step is to line up the numbers.
<span>We calculate </span>
<span>the result of which is </span>
<span>
</span>
<span>We calculate </span>
<span> the result of which is </span>
<span>.
</span>
Since we get a negative number in the next column, we must take 1 from the next column and carry it over to this column. Now the number will be changed to 10.
We calculate
, and the result is
.
<span>We calculate </span>
<span> the result of which is</span>
<span>.
</span>
Therefore,
the length of the line is 2 1/16