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Worksheet Altitude, Median,Angle bisector, perpendicular Bisector

Name the special segment for 1-4

Name

1) AC 2) HE 3) JL 4) PN

AH

B' ' D

A G\

5) Draw a triangle with an altitude outside the triangle.

6) In AABC, DE is perpendicular bisector of AC with D on AC . If AD = 2y + 4, CD = y +12 ,and mZEDC = 5(x-12)°. Find the value of x and y. Find lengthof AD, DC, and, AC .

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X AC -40

7) Dfl is an altitude of AADC, and mZDBC = (/72 + 8l) °. Find the value of n.

P^N_8) />5 and >4£ are medians. If £C = 63- +10, AB = y2 +Sy,

find the value of x and y, and the length of the segments.

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9) KB is an altitude of \XYZ , and mZ YBZ = (6x - 6) °•. Find the value of x. What is the measure ofY

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10) In ADEG FH is a perpendicular bisector of DG with H on DG . If DH = 2y + 3, GH = ~ty - 42, andmZFHG = (A'2 + 9) °, then find the value of x and y. What is the measure of DG ?

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11) RS is an altitude of ARTE, mZSRT = (4* - 8)°, and /77Z577? = (6x + 13)° . Find the value of x.E

12) In A/?7F, TA bisects ZRTE, mZRTA = (3y -4)°, and mZETA = (4y-17)° . Find the measure of ZRTE .

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13) T>4 is a median of = 3x-ll, and /!/? = x + 5 . Find AE , AR, and, £» .

14) £K is a median of AfffT , RY = 2z-l, and 7T = 4z - 11 . Find

2iH Y 4^4c\) (3)15) Find x and the measure of ZPSR, if PS is a median. ^—' P v--'

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16) Find x, CD , and DB , if ;

(15x + 42)°

17) AWHA , if WP is a median and an angle bisector,

and mZHWA = kx -16 , find x and y. Is WP also an altitude, explain?

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