Is the following shape a right triangle? How do you know?
1 answer:
Answer:
C.
Step-by-step explanation:
The only information you really need in order to determine if this is a right triangle are the slopes of segments AB and BC. If the slopes of these segments are opposite reciprocals of one another, then the lines are perpendicular, and the angle is a right angle (making the triangle a right triangle!). Point A has coordinates (-5, 5), B(-3, 2), C(-6, 0).
The slope of segment AB:
The slope of segment BC:
As you can see, the slopes are opposite reciprocals of one another so angle ABC is a right angle, and triangle ABC is a right triangle. Choice C is the one you want.
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Answer: Option A and Option D
Step-by-step explanation:
By definition the general equation of a circle has the following form
Where r is the radius and the point (h, k) is the center of the circle
All points that are on the x axis have the following form:
(h, 0)
Therefore all the circles that have their centers on the x axis will have a value of k = 0.
Identify among the options all those equations that have a value of k = 0
The circles that have their center on the x axis are option A and option D