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Math
Geometry
Geometry A4 special segments socrative
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Terms in this set (24)
Angle bisectors is a line, segment, or ray, drawn from the _________ of an angle to the ___________ side of the triangle
Vertex, opposite
Angle bisectors divides an angle of a triangle into ____ ____________ parts
Two congruent
Angle bisectors is Located to the ________ of a triangle
Interior
There can be as many as __ angle bisectors
3
Every triangle has __ angle bisectors which will always ___________ in the same distance
3, intersect
A ___________ divides the sides of a triangle
Median
Median is a __________ drawn from __________ angle to _________ side of triangle
Segment, vertex, opposite
Median divides the side ____________ of the angle into ______ ___________ parts
Opposite, two congruent
Median is located to the
Interior of the angle
There can be as many medians as
3
Where is the centroid located?
Two-thirds away from the vertex its drawn from
Every triangle has _______ _________ which will always intersect at the centroid
Three medians
Altitudes are a __________ drawn from the vertex angle ____________ to the ___________ side of a triangle
Segment, perpendicular, opposite
Altitudes form a _______ _______ at the side
Right angle
There can be as many altitudes as
3
If the triangle is acute, then the altitudes are all in the ________ of the angle
Interior
If the triangle is a right triangle, then _____ altitude is in the __________ and the other _____ altitudes are the ______ of the triangle
One, interior, two, legs
If the triangle is an obtuse triangle, then ____ altitude is in the __________ and the other ____ altitudes are in the _________ of the triangle
One, interior, two, exterior
Midsegments are segments that join the _________ of two sides of a triangle and is _________ to the third side and is _______ as long as the third
Midpoints, parallel, half
Every triangle has three altitudes which will always intersect at the
Orthocenter
The orthocenter is located in the interior of an
Acute angle
The orthocenter is located on the vertex of the _________ ________ of the ________ ________
Right angle, right triangle
The orthocenter is located to the exterior of the _________ ___________
Obtuse triangle
The orthocenter is located in the interior of the acute angle
Interior
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Fill in each blank so that the resulting statement is true. True or false: $5^{-2}=-5^{2}$ ____
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Consider the function f(x, y) = 4xy / (x² + 1)(y² + 1) on the intervals -2 ≤ x ≤ 2 and 0 ≤ y ≤ 3. Find a set of parametric equations of the normal line and an equation of the tangent plane to the surface at the point (1, 1, 1).
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