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