37. Rectangle ABCD is graphed on a coordinate
1 answer:
AC # A'B'
Step-by-step explanation:
While solving the above problem one must keep in mind that
- Reflection along Y-axis would just make the rectangle upside down at the same distance from X-axis in the down direction.
Thus, from the figure it becomes clear that
- AB ∦ B’D’
- CD║A’B’
- BD ∦ C’D’
Only statement that comes out true is the third statement which states that AC is not parallel to A’B’
Since the diagonal of a rectangle can not be parallel to one of its side (though the side in question is side of the same rectangle reflected in y axis)
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All the angles created by the transversal intersecting through a pair of parallel lines have got many names and connections with each other, like Alternate Angles, Corresponding angles, consecutive interior angles etc.
As per the question statement, We are given a pair of parallel lines which is cut by a transversal. We are supposed to mark the following angles.
Alternate Interior Angles, Alternate Exterior Angles, Corresponding Angles and Consecutive Interior Angles.
Here is an attached image of the same with angles marked on it.
Alternate Interior Angles: ∠ = ∠
and ∠
=∠
Alternate Exterior Angles: ∠=∠
and ∠
=∠
Corresponding Angles: ∠=∠
, ∠
=∠
, ∠
=∠
and ∠
=∠
Consecutive Interior Angles: ∠=∠
and ∠
=∠
- Parallel Lines: Parallel lines are those straight lines that are, no matter how far they are extended, always the same distance apart from one another.
- Transversal Line: In geometry, a transversal line intersects two lines in the same plane at two different locations.
To learn more about Transversal Line click on the link given below:
#SPJ1
