

Median and Altitude of a Triangle
Presentation
•
Mathematics
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9th - 12th Grade
•
Hard
Joseph Anderson
FREE Resource
5 Slides • 9 Questions
1
2
Connects a vertex of a triangle with the midpoint on the opposite side. Every triangle has 3 medians.
Median
3
Math Response
In the diagram, TK is a median. Find KS if RS=14
4
Math Response
In the diagram, QS and RT are medians. If PT=3x−1 , PS=4x−2 , and SR=2x+4 . Find TQ
5
Math Response
Find DC if DC=x+5 and HC=x−3
6
a segment that is perpendicular to a side of a triangle, and it intersects the vertex of the opposite side.
Altitude
7
Math Response
In the isosceles triangle, PN is an altitude and m∠M=40° , find m∠MPN
8
Math Response
AC is an altitude of the triangle. Find m∠1 . The m∠CAD=50°
9
Math Response
Find x. AD is an altitude of triangle ABC
10
A special segment of a triangle that bisects the angle of the triangle and intersects the opposite side of the triangle.
Angle Bisector
11
Math Response
MK is an angle bisector. If m∠2=50° , what is m∠1 ?
12
Math Response
MK is an angle bisector, m∠1=2n+10, m∠2=4n−32, and m∠L=60° find m∠G
13
A line or segment that passes through the midpoint of a side of a triangle and is also perpendicular to that side. Perpendicular bisectors do not always pass through the opposite vertex.
Perpendicular Bisector
14
Open Ended
In triangle ABC, DE is a perpendicular bisector of AC with D on AC. If AD=2y+4, CD=y+12, and m∠EDC=5(x−12). Find x and y. Find AD, DC, and AC
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