What type of figure must a quadrilateral be if its diagonals are perpendicular bisectors of each other and are congruent?
It is a square.
As diagonals are perpendicular bisector of each other, it is a rhombus.
As diagonals are congruent and bisect each other it should also be rectangle.
As both conditions are holding, it is a square.
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The quadrilateral must be a rhombus.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
- A line segment is bisected by a line with the equation # 4 y + 9 x = 8 #. If one end of the line segment is at #(5 ,2 )#, where is the other end?
- A triangle has corners A, B, and C located at #(4 ,3 )#, #(7 ,4 )#, and #(2 ,8 )#, respectively. What are the endpoints and length of the altitude going through corner C?
- A line segment is bisected by a line with the equation # 4 y + 3 x = 4 #. If one end of the line segment is at #( 8 , 1 )#, where is the other end?
- In a triangle ABC, AB=AC and D is a point on side AC such that BCxBC=ACxCD. How to prove that BD=BC?
- What is the orthocenter of a triangle with corners at #(9 ,7 )#, #(1 ,1 )#, and (3 ,2 )#?

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