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Nonadjacent interior angles that lie on opposite sides of the transversal?
Alternate Interior Angles
The foci of an ellipse will always lie inside the ellipse true or fale?
true
What is the answer to the euler line segment conjecture?
The centroid, circumcenter and orthocenter are the 3 points of concurrency that always lie on a line.
Are two lines that lie in parallel planes always sometimes or never parallel?
SOMETIMES. I just did that problem in my California geometry book. They can either be parallel or skew...making the answer sometimes.
Do points lie on lines that are in planes?
Not necessarily. Points may lie in different planes.
The orthocenter of a triangle may lie outside the triangle since the altitude may not intersect any side of the triangle?
The orthocenter of a triangle may lie outside the triangle because an altitude does not necessarily intersect the sides of the triangle.
The orthocenter of a triangle may lie outside the triangle because an altitude does not necessarily intersect the of the triangle?
sides
What are the circutances for an altitude to lie outside a triangles?
It must be an obtuse angled triangle.
Does the orthocenter always lie outside of the triangle?
No.
The orthocenter of a triangle may lie outside the triangle because the altitude does not necessairly intersect the of the triangle?
The orthocenter of a triangle may lie outside the triangle since the ___altitude___ may not intersect any side of the triangle. * * * * * No. One of the altitudes must intersect the side opposite it and so it is not correct to say ANY side of the triangle.
What is the different angle measure of interior angle for all polygons?
The interior angles of a triangle must lie within the range (0, 180) degrees. For all other polygons, the interior angles must be in the range (0, 360) excluding 180 degrees.
What is the fewest number of medians that lie within a triangle?
All three medians MUST lie inside the triangle.
The orthocenter of a triangle may lie outside the triangle since the?
Not normally
Is the set of points that lie on the plane of the triangle but does not include the points on the triangle?
The complement of the triangle in the plane.
What is a pair of angles that lie between the parallel lines on opposite sides of the transversal?
Those are "alternate interior" angles. They're always equal.
Nonadjacent interior angles that lie on opposite sides of the transversal?
Alternate Interior Angles
Does the centroid of a triangle lie in its exterior?
No, it cannot.
