Chapter 3 math test study guide
Which point of concurrency is always on the midpoint of the hypotenuse in a right triangle?
Circumcenter
Which points of concurrency are always outside of an obtuse triangle?
Circumcenter and orthocenter
the perpendicular bisectors of a right triangle intersect on the triangle True or False?
False altitude not perpendicular bisector
The center of balance of the of the triangle is the incenter True or False?
False centroid not incenter
to find the point that is equidistant from the sides, you need to find the circumcenter True or False?
False incenter not circumcenter
the angle bisector of a scalene triangle intersects outside the triangle True or False?
False inside not outside
the perpendicular bisector of a triangle is never the same segment as the angle bisector True or False?
False sometimes not never
The incenter, the centroid, and the orthocenter are always inside the triangle True or False?
False the orthocenter of an obtuse triangle is outside, the right triangle is on the triangle
Which point of concurrency is the center of an inscribed circle?
Incenter
Which points of concurrency are always inside the triangle?
Incenter
suppose the state highway patrol wants to build a new station so that is the same distance to three intersecting highways. How would you go about finding the location
Incenter
Which point of concurrency is always on the vertex of a right triangle
R + triangle, orthocenter, circumcenter, centroid, Acute triangle
The orthocenter of a triangle is the point of intersection of the three altitudes True or False?
True
in a _________________ triangle, altitudes are legs
altitude
it divides each median into two sections at a 2:1 ratio
centroid
the ________________ is 2/3 the distance of the median from the vertex
centroid
the three medians of a triangle intersect at the _______________
centroid
which point of concurrency is the center of gravity in a triangle
centroid
it is equidistant from the three vertices of the triangle
circumcenter
the three perpendicular bisectors of a triangle intersect at the ________________
circumcenter
which point of concurrency is equidistant from every vertex
circumcenter
which point of concurrency is the center of a circumscribed circle
circumcenter
Suppose that a space station needs to be placed equidistant from a group of three planets. How could you determine the location of the space station?
circumenter
you would use the ____________________ method to prove these triangles congruent
construction
A new aircraft is going to be triangular in shape. How would you find its center of gravity?
find the centroid
it is equidistant from the three sides of a triangle
incenter
the three angle bisectors of a triangle intersect at the ______________
incenter
the orthocenter is located outside the triangle in a(n) ________________ triangle
obtuse
the three altitudes of a triangle intersect at the ____________
orthocenter
to find the point that is equidistant from the vertices of a triangle, we need to draw or construct the three _____________________________ of a triangle
perpendicular bisectors
the altitude from the vertex angle of an isosceles triangle is always the median True or False?
true
the incenter of a triangle is the point of the intersection of the three angle bisectors True or False?
true
the median starts at a vertex and goes to the opposite midpoint True or False?
true
