Given quadrilateral ABCD,ABllDC, diagonal AC.
we can prove that angle 1= angle 2, but cannot prove angle 3=angle4 Why is this. What must be true about the sides of the Quadrilateral in order to prove that angle 3 is congruent to angle 4?
My answer:
The sides of the quadrilateral must be parellel and that the coresponding angles are congruent to each other. Am I on the right path here? Help pleeeeeeese!
Thanks much
Ab||cd
i.e. They are similar so u can fk them
What is an equiangular triangle?
A. a triangle in which all interior angles have equal measure
B. a triangle in which only two interior angles have equal measure
C. a triangle in which no interior angles have equal measure
D. none of the above
Yes, you are on the right path. In order to prove that angle 3 is congruent to angle 4, the sides of the quadrilateral must not only be parallel but also of equal length.
Let's break it down step by step:
1. Given: Quadrilateral ABCD, where AB is parallel to DC.
2. Draw the diagonal AC.
To prove that angle 1 is congruent to angle 2:
1. Recall that opposite angles formed by the intersection of two straight lines are congruent.
2. Since AB is parallel to DC, angle 1 and angle 2 are opposite angles formed by the intersection of AC with the parallel lines AB and DC.
3. Therefore, angle 1 is congruent to angle 2.
To prove that angle 3 is congruent to angle 4:
1. If we could prove that AB is equal in length to DC, we will be able to apply the same reasoning to angles 3 and 4.
2. However, just knowing that AB is parallel to DC is not enough to conclude that AB is equal in length to DC.
3. Additional information or properties of the quadrilateral, such as congruent sides or specific measurements, would be required to prove that angle 3 is congruent to angle 4.
In summary, to prove that angle 3 is congruent to angle 4, you need to establish that the sides of the quadrilateral ABCD are not only parallel but also of equal length.