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this can be proved by drawing the given circle
now x=2a and x=2b (angle at the centre is double the angle at any point on the circumference.
therefore. 2a=2b
hence. a=b
as asked. this theorem is proved..
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∙ 13y ago
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An angle with its vertex and endpoints on the circle?
If the vertex is at the centre of the circle then this forms a sector of the circle.If the two endpoints and the vertex form an angle in a segment, then the vertex can be at any point on the circle within the same segment and all angles so formed are equal.
Is a segment the same thing as an angle?
No, a segment is a piece of a line. However, two segments that intersect at a point make an angle. In fact, the segments that make up the angle are called the sides of the angle.
Why are the median angle bisector and altitude from the vertex angle of an isoceles triangle all the same?
It's in the definition of an angle bisector: An angle is formed by two rays with a common endpoint. The angle bisector is a ray or line segment that bisects the angle, creating two congruent angles.and an isoceles triangle:it is a triangle with (at least) two equal sides. This property is equivalent to two angles of the triangle being equal. An isosceles triangle therefore has both two equal sides and two equal angles.
How do the Triangle-Angle Bisector Theorem and the Angle Bisector Theorem differ?
They are the same concept, one for the angle and 1 for triangle.Definition of a triangle angle bisector is a line segment that bisects one of the vertex angles of a triangle.Definition of an angle bisector is a ray or line segment that bisects the angle, creating two congruent angles.
Is this true If a median an altitude and an angle bisector are the same segment in a triangle the triangle is scalene?
No, it's not true.
An angle with its vertex and endpoints on the circle?
If the vertex is at the centre of the circle then this forms a sector of the circle.If the two endpoints and the vertex form an angle in a segment, then the vertex can be at any point on the circle within the same segment and all angles so formed are equal.
Is a segment the same thing as an angle?
No, a segment is a piece of a line. However, two segments that intersect at a point make an angle. In fact, the segments that make up the angle are called the sides of the angle.
Why are the median angle bisector and altitude from the vertex angle of an isoceles triangle all the same?
It's in the definition of an angle bisector: An angle is formed by two rays with a common endpoint. The angle bisector is a ray or line segment that bisects the angle, creating two congruent angles.and an isoceles triangle:it is a triangle with (at least) two equal sides. This property is equivalent to two angles of the triangle being equal. An isosceles triangle therefore has both two equal sides and two equal angles.
What is the meaning of congruent segment?
Congruent Segment If They Have the same or equal Measures.. posted by: ritzjohn_41@yahoo.com
What is the measurement of a congruent angle?
A congruent angle can also mean equal angle. So there is no set measurement of a congruent angle. Just the same as the angle it is equal to.
Does a full angle can be called a circle?
No. A full angle is a segment of a line which goes to a vertex and returns along the same path. Any point on the line segment, other than the vertex, will trace out a circle but the angle itself is NOT a circle.
If two angle have the same angle measures then they are said to be?
They are equal angles.
How do the Triangle-Angle Bisector Theorem and the Angle Bisector Theorem differ?
They are the same concept, one for the angle and 1 for triangle.Definition of a triangle angle bisector is a line segment that bisects one of the vertex angles of a triangle.Definition of an angle bisector is a ray or line segment that bisects the angle, creating two congruent angles.
Is this true If a median an altitude and an angle bisector are the same segment in a triangle the triangle is scalene?
No, it's not true.
Supplements of the same angle are congruent what's the best statement for reason 6 of this proof?
angle B and angle D are supplements, angle B is congruent to angle D, angle A is congruent to angle A, or angle A is congruent to angle C
When angle of incidence is equal to angle of refraction?
When the angle of incidence is equal to the angle of refraction, it means that the light is traveling from one medium to another with the same refractive index. This condition is known as the critical angle, and beyond this point, total internal reflection occurs.
What does the angle of incidence always equal?
The angle of incidence always equals the angle of reflection in the law of reflection. This means that the angle at which light strikes a surface is always equal to the angle at which it reflects off that same surface.
