Question

match the vocabulary word with the correct definition.

1. base of an isosceles triangle
2. vertex angle
3. orthocenter
4. median of a triangle
5. centroid
6. base angles
7. altitude of a triangle

a segment from a vertex perpendicular to the opposite side.
the third, unequal side of an isosceles triangle.
the two angles that include the base of an isosceles triangle.
a point on the interior of a triangle in which the three medians of the triangle intersect
the angle formed by the two equal sides of an isosceles triangle.
a point in which the three altitudes of the triangle intersect. it is possible for the orthocenter to occur on the triangle, on the interior of the triangle or on the exterior of the triangle
a segment from a vertex to the midpoint of the opposite side.

Explanation:

• Base of an isosceles triangle: By definition, in an isosceles triangle, the two equal sides are called the legs, and the third, unequal side is the base.
• Vertex angle: In an isosceles triangle, the angle formed by the two equal sides (the legs) is the vertex angle.
• Orthocenter: The orthocenter is the point where the three altitudes of a triangle intersect.
• Median of a triangle: A median of a triangle is a segment that connects a vertex to the mid - point of the opposite side.
• Centroid: The centroid is the point of intersection of the three medians of a triangle and is located on the interior of the triangle.
• Base angles: In an isosceles triangle, the two angles that are adjacent to the base (the angles that include the base) are the base angles.
• Altitude of a triangle: An altitude of a triangle is a segment from a vertex that is perpendicular to the opposite side.

Answer:

1. The third, unequal side of an isosceles triangle.
2. The angle formed by the two equal sides of an isosceles triangle.
3. A point in which the three altitudes of the triangle intersect. It is possible for the orthocenter to occur on the triangle, on the interior of the triangle or on the exterior of the triangle.
4. A segment from a vertex to the midpoint of the opposite side.
5. A point on the interior of a triangle in which the three medians of the triangle intersect.
6. The two angles that include the base of an isosceles triangle.
7. A segment from a vertex perpendicular to the opposite side.