Review of Review of Right Right TrianglesTriangles

Find the Geometric mean between 4 and 25. 4

25

x

x

2 100x 10x

NM=9 MK=4 Find JM.

9

4

x

x

X=6X=6

4

25x

X = 10X = 10

4

25

x

x

6

4 xX = 9X = 9

6

6 4

x

What equation can be formed?

g

t

m

2 2 2g t m

6

8

x

2 2 26 8 x X = 10X = 10

12

18

x

2 2 212 18 x 468x

21.63

20

16

x

2 2 216 20x

400 256x 12x

Find the leg of the right triangle:

15

17

x

2 2 215 17x 289 225x

X=8X=8

1515

24

x

2 2 212 15x

12 12

225 144x

X= 9

What kind of triangle has sides 41, 9 and 40?

2 2 241 __ 9 401681 __ 81 1600Right TriangleRight Triangle

What kind of triangle has sides of 8, 18 and 12? 2 2 218 ___ 8 12

324 ____ 64 144Obtuse TriangleObtuse Triangle

What kind of triangle has sides of 9, 7 and 20? 9 7 20

No Triangle PossibleNo Triangle Possible

45o

x

12 2

=12=12

x

10

1010 2

30o

20

x

y

10

10 3

10 10

10

x 5 3

Find x

8

8

x 8 2

An equilateral triangle has a side of 12. What is its altitude?

6 3a

Other Other REVIEW REVIEW TOPICSTOPICS

44thth 6 weeks 6 weeks

What is a quadrilateral with all sides congruent called?

RhombusRhombus

What is an equiangular quadrilateral called? RectangleRectangle

A regular Quadrilateral is called what?

SquareSquare

A quadrilateral with both pairs of opposite sides parallel is called what? ParallelogramParallelogram

A quadrilateral with exactly one pair of opposite sides parallel is called what?

TrapezoidTrapezoid

Find x in rectangle

25o

x

X = 50X = 50oo

Find x in rectangle

25ox

X = 25X = 25oo

Find x in rectangle

25o

x

X = 65X = 65oo

Find x in rectangle

25o

x

X = 130X = 130oo

Find x in rectangle

25o

x

X = 50X = 50oo

Find x in the Rhombus

25o

x

X = 90X = 90oo

Find x in the Rhombus

25o

xX = 25X = 25oo

Find x in the Rhombus

25o

xX = 65X = 65oo

Find x (Isos. Trap.)

6

14

8

65oxX = 65X = 65oo

Find x (Isos. Trap.)

6

14

8

65o

xX = 115X = 115oo

Find x in Trapezoid

6

14

8

65o

x

X = 10X = 10

x

16

Find x, Find x, the length the length of the of the midsegmemidsegmentntX = X = 88

8

midsegmemidsegmentsnts

x

y7

20Find Find x, y, x, y, zz

z

8

midsegmemidsegmentsnts

x

y7

20 x=8x=8, , y=1y=10, 0, z=1z=144

z

33 _?_ .

5

pIf then q

q

: 5Answer p

3_?_ .

5 5

p qIf then

q

:3

pAnswer

3 8_?_ .

5 5

pIf then

q

:p q

Answerq

3 3_?_ .

5 5

p pIf then

q q

3

:5

pAnswer or

q

3_?_ .

5

p qIf then

q p

5:3

Answer

3 8_?_ .

5

pIf then

q p q

5:Answer

q

60

8

10

7.5

x

12

y

w

Find w, x, Find w, x, y, z in y, z in these these similar similar trapezoidtrapezoidss

z

60

8

10

7.5

x

12

y

w

z

:

8 7.5

108

10 12

HINTS

xy

60

8

10

7.5

x

12

y

w

W=60W=60oo

z

X=9.3X=9.37575Y=9.6Y=9.6

Z=12Z=1200oo

47

10

17.5

SimilarSimilar?? Yes by Yes by

SAS~SAS~4 7

10 17.5

(4)(17.5) (10)(7)

70 70

Similar?Similar?66 5

8

8.4 7

11.2

Yes by Yes by SSS~SSS~5 6 8

7 8.4 11.2

(5)(8.4) (6)(7)

(6)(11.2) (8)(8.4)

SimilarSimilar??Yes by Yes by

AAAA

62o

62o

48o

50o

SimilarSimilar?? No! No! CorrespondinCorresponding angles are g angles are not not congruentcongruent . .

68o

70o

8

4

7

x

Find xFind x8 7

8 48 84

10.5

xx

x

4

6

9

Find xFind x

x

6 4

96 9( 4)

6 9 36

3 36

12

x

xx x

x x

x

x

Are the triangles similar? If so, by what method?

Yes, By AA PostulateYes, By AA Postulate

Find x Given similar triangles

X=77X=77