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Can the altitude from the vertex angle of an isosceles triangle be the median?
Wiki User
∙ 11y ago
If the triangle is really isosceles, and it's not lying on one of the equal sides,
then the altitude is always a median.
Wiki User
∙ 11y ago
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A segment that connects a vertex of a triangle to the midpoint of the opposite side?
median or altitude * * * * * Median: Yes Altitude: No.
In an isosceles triangle does the median to the base bisect the vertex angle?
In the diagram, ABC is an isoscels triangle with the congruent sides and , and is the median drawn to the base . We know that ∠A ≅ ∠C, because the base angles of an isosceles triangle are congruent; we also know that ≅ , by definition of an isosceles triangle. A median of a triangle is a line segment drawn from a vertex to the midpoint of the opposite side. That means ≅ . This proves that ΔABD ≅ ΔCBD. Since corresponding parts of congruent triangles are congruent, that means ∠ABD≅ ∠CBD. Since the median is the common side of these adjacent angles, in fact bisects the vertex angle of the isosceles triangle.
Is it possible for a segment to be a perpendicular bisector angle bisector median and altitude of a triangle?
Yes. If you have an isosceles triangle standing up on the unequal side, thenthe line segment from the top vertex perpendicular to the base is all of these.
Is the altitude of a triangle is a segment whose endpoints are a vertex of a triangle and the midpoints of the side opposite the vertex?
Yes but only if it's an equilateral or an isosceles triangle otherwise it's the vertical perpendicular height
A median of a triangle is a line or segment that passes through a vertex and bisects the side the vertex?
A median of a triangle is a line or segment that passes through a vertex and bisects the side of the triangle opposite the vertex.
When is a median and an altitude the same segment?
In an isosceles or equilateral triangle, when from the vertex that is different from the others.
A median of a triangle is a line or segment that passes through a vertex and the side opposite that vertex?
A median of a triangle is a line or segment that passes through a vertex and the midpoint of the side opposite that vertex. The median only bisects the vertex angle from which it is drawn when it is an isosceles triangle.
A segment that connects a vertex of a triangle to the midpoint of the opposite side?
median or altitude * * * * * Median: Yes Altitude: No.
Does the altitude to the base of an isosceles triangle bisect the vertex angle?
bob
What is the difference between a median and the altitude of a triangle?
A median of a triangle is a line segment joining a vertex to the midpoint of the opposite side. Altitude of a triangle is a straight line through a vertex and perpendicular to the opposite side or an extension of the opposite side.
In an isosceles triangle does the median to the base bisect the vertex angle?
In the diagram, ABC is an isoscels triangle with the congruent sides and , and is the median drawn to the base . We know that ∠A ≅ ∠C, because the base angles of an isosceles triangle are congruent; we also know that ≅ , by definition of an isosceles triangle. A median of a triangle is a line segment drawn from a vertex to the midpoint of the opposite side. That means ≅ . This proves that ΔABD ≅ ΔCBD. Since corresponding parts of congruent triangles are congruent, that means ∠ABD≅ ∠CBD. Since the median is the common side of these adjacent angles, in fact bisects the vertex angle of the isosceles triangle.
Is it possible for a segment to be a perpendicular bisector angle bisector median and altitude of a triangle?
Yes. If you have an isosceles triangle standing up on the unequal side, thenthe line segment from the top vertex perpendicular to the base is all of these.
Does a median divide a triangle into two congruent triangles?
Yes * * * * * No. A median is a line from a vertex to the midpoint of the opposite side. It divides the triangle into congruent parts only if the triangle is equilateral or if the triangle is isosceles and it is the median from the unequal vertex. In all other cases the two parts will not be congruent.
Is median and the altitude of a triangle the same?
The median is a line from a vertex to the midpoint of the opposite line and an altitude is a line from a vertex to the opposite line which is perpendicular to the line. These are NOT the same thing in most triangles. The only time they could be the same is in an equilateral triangle.
How many lines of symetry does isosceles triangle have?
Only one line of symmetry, it is the line that contains the median of the isosceles triangle (that passes through the vertex and perpendicular to the base).
What is a median of a triangle?
A median of a triangle is a line from a vertex of the triangle to the midpoint of the side opposite that vertex.
Is the altitude of a triangle is a segment whose endpoints are a vertex of a triangle and the midpoints of the side opposite the vertex?
Yes but only if it's an equilateral or an isosceles triangle otherwise it's the vertical perpendicular height
