(5.1)
Which special segments are always perpendicular to a side of the triangle?
Perpendicular Bisector & Altitudes
In the triangle, P is the centroid, PF = 6, and AD = 15. Find PC and AP.
PC=12 AP=10
List all angles less than ∠1.
∠2, ∠3, ∠4, ∠5, ∠7, ∠8
AB <,>,= DE
AB<DE
Can 2 ft, 3 ft, and 4 ft make a triangle?
Yes
Which special segments must intersect a vertex of the triangle?
Median & Angle Bisector
Find UD, if U is the centroid.
UD=8
List all angles greater than ∠5.
∠1 & ∠3
Compare angle 1 and angle 2.
Angle 1 < Angle 2
Can 9 in, 10 in, and 20 in make a triangle?
No, 9+10 Isn't > 20
Is DF a median of the triangle?
Yes
Find AD, If U is the centroid.
AD=24
List all sides from greatest to least.
RQ,QP,PR
Compare angle 1 and angle 2.
Angle 1 = Angle 2
Find the range for the measure of the third side of a triangle with 2 side lengths of 7 in and 14 in.
7<x<21
Is EH a perpendicular bisector?
No
If U is the centroid and EM=21, find EU.
EU=14
List all angles from least to greatest.
∠Q,∠R,∠P
Find the range of possible values of x.
16>x>-1.5
Find the range for the measure of the third side of a triangle with 2 side lengths of 10mm and 12mm.
2mm<x<22mm
Find x.
x=2
If U is the centroid, find JD.
JD=12
What is the largest angle angle 1, angle 3, or angle 4?
Angle 1
Find the range of possible values of x.
6>x>2.3
Find the range for the measure of the third side of a triangle with 2 side lengths of 18 yd and 22yd.
4yd<x<40