Geometry Practice Problems: Angles, Quadrilaterals, Tangent Segments, Exercises of Geometry

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Practice SI ides

Slide 1: And each measure. a) mML 86°

,_

b) mEGH = JJ8° ·

mLKMN::: Y^7 f '

I , I I I \

mL GFH :: y,, 1,

0 1,.15°

• • .. ........

J

I

9S.2°

I E

Slide 2: Find each value. a) Y 3~2. - 18 : qo <3y2 - ,s,o 3'1^2 = ,os 3 :1 c) mAB 2 'j.^2 : 10 X

2'f.

2

• /OX = O 2-,.. (X- 5) ::: o X = o, 5 [ 01 AB = 100° ) /oo" b) z (6z- 4)

d) mLMPN

( 31-- 10 -1 = 10 )

q Y.. - 30 + I/>< = l lo

}\ 15

Slide 3: And the angle measures of each quadrilateral i rl5c.'f i bed qvad a) BCDE 13 b) ruvw Opp L/upp! , ½(~-t 3 o-+f =18oJ t. -' /Z. 0 -I 2 t = 7 2.o 3i = ~ C t :: , 2 oa~-------. 0 f()L O = 80

rr, L B = 100°

mLE-= IL/lo rnt.C ::39°

(14 + 4x)^0 T

l½+YJ- -ff,x-1~ = l'oo

l01' -= t'bo X = 16

mLW = 9'11)

m L U= 8(,°

mL T ::: 7'i

0

fnl V = 101°

I 5~ -L/ 4 \2.~ - 5 = 1eo

21 'I - '1 -= ('OQ

__ ii

Slide 6: Tangent Segments EA= 4) mLA=120°

Find the area of the circle.

(i = "tr (Yfis) 1 :[z~or,,] Slide l: Tangent Segments r , ::: e

The area of circle S is 64n.

HA=

SH= 10

SW= 17

Find the perimeter of triangle HAW.

A G A Jo H (o K IS w u.. m.J< ,.r&A (^) h J

Slide 8: Tangent Segments Two circles are concentric. A 42 in chord of the larger circle is tangent to the smaller circle. The radius of the larger circle is represented by 2x + 5. The radius of the smaller circle is represented by x + 8. Find the lengths of the radii of both circles.

( X -t 3 / -f 2 I 2- -:: ( 21-- -f 5 )

2..

X^2 + I b )(._ -+ 6 1...1 I^ TI^ .LIU-1 I^ • -:::^ ~\1"^ 2.^ +^ z_ox-+

3 x2. y)'- - Y<oo :: 0 ( 3 x +LIQ )(X - / 2. ) = o 'y.,_ -:c -LjO 12... 3 I

y.__ = -\

1

/3, I2.

X v

fodi v.'.:> SVYl a lie r ~i r cl e

ro di u~ la r3ev (1 r d e.. r:. 2- r z~ r d