Always, Sometimes, Never Questions for Geometry
A midsegment of a triangle will ___________ be parallel to one side of the triangle.
Always
An altitude of a triangle is ___________ perpendicular to a side of the triangle.
Always
Centroids are ____________ on the interior of a triangle.
Always
Each leg of a right triangle is ___________ an altitude of the triangle.
Always
Each leg of a right triangle is _______________ an altitude of the triangle.
Always
In an obtuse triangle, the orthocenter is ______________ outside the triangle
Always
In an obtuse triangle, two altitudes are ____________ outside the triangle.
Always
The altitudes of an acute triangle _______________ intersect in the interior of the triangle.
Always
The angle bisectors of an equilateral triangle are ______________ perpendicular bisectors of the sides.
Always
The centroid is __________ always inside the triangle.
Always
The incenter of a right triangle is _______________ on the triangle
Always
The median from the vertex angle of an isosceles triangle is ___________ the same segment as the altitude from the same vertex.
Always
The medians of a triangle ______________ fall inside the triangle.
Always
The points of concurrency of three perpendicular bisectors is _______________ called the circumcenter.
Always
Two of the altitudes of a right triangle are _________ the legs of the triangle.
Always
A circumcenter is _____________ equidistant from the sides of a triangle
Never
In an obtuse triangle, the centroid and circumcenter are __________ the same point.
Never
The angle bisector of a triangle ________________ intersects at a point outside the triangle.
Never
The incenter of an obtuse triangle is _______________ outside the triangle.
Never
The perpendicular bisector of a triangle can ______________ be a side of the triangle.
Never
The three angle bisectors of a triangle ____________ intersect at a point that is outside the triangle.
Never
The tree angle bisectors of a triangle ____________ intersect at a point that is outside the triangle.
Never
The perimeter of the triangle formed by the midsegments of a triangle is _____________ twice the original triangle's perimeter.
Never (it's half)
A median is ______________ perpendicular to the opposite side.
Sometimes
An altitude is _________ an angle bisector.
Sometimes
An altitude is _________________ an angle bisector.
Sometimes
An altitude is ____________________ a perpendicular bisector.
Sometimes
If line AM is an altitude of triangle ANC, then line AM is ________________ a median of the triangle.
Sometimes
Median and angle bisectors ____________ the same segment in a triangle
Sometimes
Orthocenters are ___________ inside the triangle
Sometimes
The angle bisector of a triangle _____________ bisects the opposite side.
Sometimes
The angle bisectors of a triangle _____________ bisect the sides of the triangle.
Sometimes
The circumcenter and orthocenter can ________________ be the same point.
Sometimes
The median and the altitude from a vertex of a triangle are ____________ the same segment.
Sometimes
The point of concurrency of three perpendicular bisectors is __________ inside the triangle
Sometimes
The altitude of a triangle can ________________ be a side of the triangle.
Sometimes (RT triangle only)
A perpendicular bisector of a triangle _______________ passes through the opposite vertex.
Sometimes (equilateral and base of Isosceles)
The altitude of a triangle is ____________ through the midpoint of a side of a triangle
Sometimes (equilateral and base of isosceles)
The circumcenter of a scalene triangle is ____________ inside the triangle.
Sometimes (if it is acute)
The tree altitudes of a triangle ________ intersect at a point that is inside the triangle.
sometimes