
Review Perpendicular and Angle bisectors in Triangles
Presentation
•
Mathematics
•
8th - 10th Grade
•
Practice Problem
•
Hard
Standards-aligned
Rachel McMahon
Used 45+ times
FREE Resource
5 Slides • 8 Questions
1
*Definitions and properties of special parts of triangles
2
Is perpendicular to a leg of a triangle
Passes through the midpoint of that leg
Is equidistant from the endpoints of that leg
3
Multiple Choice
The three perpendicular bisectors in a triangle...
intersect at a point inside the triangle
intersect at a point equidistant from all three vertices
intersect at a point equidistant from the sides
do not intersect at the same point
4
Multiple Choice
The perpendicular bisectors in a triangle intersect at a point called the ______? *In this picture point P *
circumcenter
incenter
centroid
vertex
origin
5
the point where the perpendicular bisectors intersect
is equidistant from each vertex
the center of a circle that can be drawn around the triangle so each vertex lies on the circle
is inside the triangle (acute), outside the triangle (obtuse), on triangle (right)
6
Multiple Choice
A triangle is located at the points A(1, 1) B(5, 2) and C(3, 5). What is an equation for the perpendicular bisector of
AC ?
21(x − 2)=y−3
y=−21x+3
y=−21x+4
y−2=2(x−3)
7
Open Ended
Suppose you and two friends houses are located at points A, B, and C. You want to find a meet up spot that is equidistant from all three of your houses...how could you do this?
8
Multiple Choice
If AD is the perpendicular bisector of AD . Find BC.
6.5
17
34
We cannot know
9
bisects one angle of a triangle
any point on the angle bisector equidistant from two sides of the triangle (measuring perpendicularly)
10
Multiple Choice
All three angle bisectors of a triangle
intersect at a point that is equidistant from the sides
intersect at a point that is equidistant from the midpoints
intersect at a point outside the triangle
do not intersect at a single point
11
Multiple Choice
The point where the angle bisectors intersect (point G) is called the.....
circumcenter
incenter
centroid
origin
midcenter
12
the point where the angle bisectors intersect
is equidistant from each SIDE (measuring perpendicularly)
the center of the biggest circle that can be drawn inside the circle
is always INSIDE the circle
13
Multiple Choice
In the triangle, point I is the incenter. If m∠CAB=64° and m∠AIB=122° , then find the m∠ABC
32°
56°
52°
26°
*Definitions and properties of special parts of triangles
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