Always, Sometimes, Never Questions for Geometry

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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


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