Which of the following best describe(s) the diagonals of a rectangle. Select all that apply.
2 answers:
Answer: The correct options are (a) congruent and (d) intersecting.
Step-by-step explanation: We are to select the correct options that best describes the diagonals of a rectangle.
<u>RECTANGLE:</u> A rectangle is a quadrilateral in which
(i) the adjacent sides are perpendicular,
(ii) opposite sides are parallel and congruent,
(iii) Each angle is a right angle,
(iv) The diagonals are congruent and bisect each other.
For example, in the attached figure, ABCD is a rectangle.
The diagonals AC and BD are congruent and they intersect at the point 'O' such that AO = OC, BO = OD.
Therefore, the diagonals of a rectangle are congruent and intersecting.
Thus, the correct options are (a) and (d).
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Answer:
Step-by-step explanation:
We can do this a couple of ways. We can graph it -- see below. Or we can do the math.
Math
y = x^2 - 2x - 15
This trinomial factors into
y = (x - 5)(x + 3)
from which
x - 5= 0
x = 5
and
x + 3 = 0
x = - 3
The y intercept is the value obtained when all the xs on the right = 0
y = 0^2 - 2*0 - 15
y = - 15
<em>Answer</em>
- x intercepts: (-3,0),(5,0)
- y intercept: (0,-15)
The graph is below.
Given:
The quadratic equation is
To find:
The x-intercepts of the given equation.
Solution:
We have,
Splitting the middle term, we get
For x-intercepts, y=0.
Using zero product property, we get
So, the x-intercepts are (0.5,0) and (2,0).
Therefore, the correct option is a.