Question

hlo frnds
how can we define whether the two ciecles are congruent or not​

Answer 1

Answer:

In the plane, all circles of the same radius are congruent to one another. In this case, radius AB is of the same length as the radius DC.

A = [0,0] B = [0.2, 0.2] C = [0.4,0.4] D = [0.6,0.6] circle A B green circle D C red

Explanation:

Geometrically, congruence is a property of at least two shapes relative to each other. If two shapes are congruent, then they share the exact same properties. Furthermore, congruence is not related to where the shapes are, how they are rotated, or how they are reflected, since none of these changes affect the size of the shape.

We've seen before that a circle is defined by two properties: its center and radius. Since congruence is independent of position (and circles remain the same regardless of rotation or reflection), the congruence of circles depends only on the circle radii.

But wait! Since a radius is a constant (an unchanging number), and any constant is only equal to another constant when they are equal, then all circles with the same radii (or values dependent on radii) must be congruent.

A related geometric property is similarity. Similar shapes are proportional in every possible way. Like congruence, similarity is unaffected by position, rotation, or reflection.

All congruent shapes are similar by definition; however, not all similar shapes are congruent.

Answer 2

✨️ correct question✨️

• how can we define wheather the two circles are concurrent or not.

✨️ Answer ✨️

• two circles are concurrent , if they have equal radius.

✨️more points about circle.

• A circle is a locus of points which moves in a plane in sucha way that it's distance from a given fixed point is always constant.
• radius is a line segment joining the centre and any points on circle.
• chord of a circle is a line segment joining any two points on circle.
• Diameter is the longest chord of circle which passes through the centre of circle.

hope it helped you.