The triangles are congruent by using SAS.
We know these triangles are congruent by looking at the information given. The bottom sides have the same lengths, giving us one part of SAS.
We can also see an a right angle is given to us at the bottom, this automatically means the left angle is also a right angle. This is the angle of SAS.
Lastly, we know they share another side because they’re sharing the same side exactly.
Given:
The vertices of the triangle are (-10,-3), (1,4) and (-1,7).
To find:
The perimeter of the triangle.
Solution:
Distance formula:
Let the vertices of the triangle are A(-10,-3), B(1,4) and C(-1,7).
Using distance formula, we get
Similarly,
Now, the perimeter of the triangle is
Therefore, the perimeter of the triangle is 30.098 units.
You would need two different lines to complete this as lines cannot be both parallel and perpendicular (these are opposites). The answers would be:
Parallel: x = 2
Perpendicular: y = -2
In order to find these, we first need to see that the original line of x = -1 is a horizontal line. Therefore, any line that is parallel should be horizontal as well. To get a horizontal line through the point (2, -2), the only option is x = 2.
Similarly, with the perpendicular line, if the original line is horizontal, the new line must be vertical. The only vertical line that goes through (2, -2) is y = -2.
Answer:
20
Step-by-step explanation:
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