No. Consider two circles of diameter 10cm and 20cm respectively. For the smaller circle consider the arc formed by half the circle. It has a length of pi*5 (where * means multiply) For the larger circle, consider the arc formed by a quarter of the circle. It has a length of pi*5. Both arc lengths are the same but they are not congruent. They have entirely different shapes.
Angle is dimensionless. It's actually the ratio of two lengths ... the length of an arc of the circle to the length of the radius of the circle. That ratio is the same number for the same angle in any-size circle, and it's directly proportional to the angle that cuts the arc. When you measure angles in radians, the angle IS that number.
No, triangles with the same side lengths are always congruent.
They are congruent.
The sum of two radii of a circle is the same as the diameter of the circle.
No. Consider two circles of diameter 10cm and 20cm respectively. For the smaller circle consider the arc formed by half the circle. It has a length of pi*5 (where * means multiply) For the larger circle, consider the arc formed by a quarter of the circle. It has a length of pi*5. Both arc lengths are the same but they are not congruent. They have entirely different shapes.
s = rθs=arc lengthr=radius lengthθ= degree measure in radiansthis formula shows that arc length depends on both degree measure and the length of the radiustherefore, it is possible to for two arcs to have the same degree measure, but different radius lengthsthe circumference of a circle is a good example of an arc length of the whole circle
Angle is dimensionless. It's actually the ratio of two lengths ... the length of an arc of the circle to the length of the radius of the circle. That ratio is the same number for the same angle in any-size circle, and it's directly proportional to the angle that cuts the arc. When you measure angles in radians, the angle IS that number.
True of False, any to parallelograms with the same side lengths have the same area?
You look at the lengths of the sided of the triangle. If the two lengths are same, the triangle is an isosceles triangle. If all the lengths are same, the triangle is an equilateral triangle. If none of the lengths are same, the triangle is a scalene triangle.
An isoceles triangle! It has two lengths the same!
No, triangles with the same side lengths are always congruent.
They are congruent.
The sum of two radii of a circle is the same as the diameter of the circle.
to be congruent two triangles have, ASA-two angles the same with a side length between them. SAS-two side lengths the same and a same angle between them. SSS-all 3 side lengths the same. RHS-if the triangles are right angles ,and the hypotenuse are the same. :)
no: if you have two triangles with the same angle measurements, but one has side lengths of 3in, 4in, and 5in and the other has side lengths of 6in, 8in, and 10in, then they are similar. Congruent triangles have the same angle measures AND side lengths.
congruent