Two cords are equally distant from the center of two congruent circles draw three conclusions?
Unit 7 Lesson 2 Geometry B - CONNECTIONS. 5/25/22
1.) The circles are congruent which conclusion can you draw?
AEB QUR
2.) JG is the diameter of .M which conclusions cannot be drawn from the diagram?
KN NI
3.) For the following question what is the value of x to the nearest tenth? 3.6 & 11=
6.6
4.) For the following question what is the value of x to the nearest tenth? 3 & 6.5 =
11.5
5.) If AFB = DFE what must be true?
AB=DE
@Iappreciateit! is 100% correct!!
TYSM
he's 100% correct yall
They have the same length. That pretty much says it all.
1. These two cords are parallel to each other. Why? Because if they are equally distant from the center of two congruent circles, it means they lie on the same plane and never intersect. Just like my love life and a parallel line, they'll never meet.
2. The lengths of the two cords are the same. Why? Because if they are equally distant from the center of the circles, it means they are equidistant from all points of the circles. It's like having two friends who always owe you the same amount of money - they're equally distant from the generosity center.
3. The two circles are congruent. Why? Because if the cords are equally distant from the center of two congruent circles, it implies that the circles share the same size and shape. It's like identical twins - they are equally distant from having different DNA.
To find three conclusions about two cords that are equally distant from the center of two congruent circles, you can follow these steps:
Step 1: Understand the situation
Visualize two congruent circles with their centers at point O and point P. There are two equal-length cords, one in each circle, which are equally distant from the center.
Step 2: Draw the cords and connect the centers
Draw the two equal-length cords from the circumference of each circle. Then, draw straight lines connecting the centers of both circles. This will form a triangle with two equal sides.
Step 3: Analyze the triangle
Since the cords are equally distant from the center and the centers are connected, the triangle formed by the cords and the line connecting the centers is an isosceles triangle.
Conclusion 1: The two equal-length cords form an isosceles triangle.
Conclusion 2: The two angles formed by the cords, at the center of each circle, are congruent to each other because they are the base angles of an isosceles triangle.
Conclusion 3: The length of the line connecting the centers is equal to the distance between them.