1. Geometry Ch. 5 Test Review

2. 5-1 Midsegment Solve for x

3. 5-2 Perpendicular Bisector / Angle Bisector Solve for x

4. 5-3 Incenter Solve for x.
Radii of circle
X= -1
congruent

5. 5-3 Graph the points. Find Circumcenter. Find Orthocenter.
Perp bisectors
5-3 Graph the points Find Circumcenter Find Orthocenter.
(0,0)
altitudes
(4,-3)

6. 5-3 & 5-4 Point of Concurrency Name it!
Perpendiculuar Bisector
Median
Altitude

7. 5-3 Draw an angle bisector!

8. 5-3-5-4 Point of Concurrency Name it!
incenter
Angle Bisectors Form _________________
Perpendicular Bisectors Form _____________
Medians Form __________________
Altitudes Form _________________
circumcenter
centroid
orthocenter

9. 5-3-5-4 Point of Concurrency Name the line!

10. 5-4 Centroid 10 5 12 36

11. 5-6 List the SIDES in order. Smallest to largest.54

12. 5-6 Determine the SHORTEST side?
Not EG
5-6 Determine the SHORTEST side?
Look for next small L 47 X M S L M 67 DG O S

13. 5-6 Write sides in order from smallest to largest
DG, ED, EG/ EG, FG, EF L 47 X M S L M 67 O S

14. 5-6 Longest side of triangle?
In triangle ABC,
m<A = 2x + 20, m<B = 4x – 30, m<C = x + 50.
Solve for x. Find LONGEST side of triangle ABC.
2x x – 30 + x + 50 = 180
7x + 40 = 180
7x = 140
x = 20

15. Continuation… Longest side..
In triangle ABC,
m<A = 2x + 20, m<B = 4x – 30, m<C = x + 50.
Solve for x. Find LONGEST side of triangle ABC. C
m<A = 2(20)+20 = 60 70 A 60 50
m<B = 4(20) – 30 = 50 B
m<C = = 70 AB

16. 5-6 Which lengths could be SIDES of a triangle?
No, >8.5
2.5, 8.5, 5.5
6, 5, 11
5x, 8x, 12x
No, 6+5>11
Yes, 5x+8x>12x

17. 5-6 Triangle Inequality Find range of values.
Small side + small side > 3rd side
5-6 Triangle Inequality Find range of values.
If lengths of sides of a triangle are 2k+3 and 6k, then the third side must be greater than ________ and less than _________
4k-3
8k+3
Small side + small side > 3rd side
2k+3 + 6k > x
2k+3 + x > 6k OR
-2k k -3
8k+3 > x
x > 4k-3
x < 8k+3
Greater than
Less than

18. AEB > BDC Big so Big By Hinge Theorem
5-7 Hinge Theorem & Converse of Hinge Theorem Fill in with <, >, or =. By which theorem?
AEB > BDC so
Big
Big
By Hinge Theorem

19. By Converse of Hinge Theorem
5-7 Hinge Theorem & Converse of Hinge Theorem Fill in with <, >, or =. By which theorem?
AB<ED so
Big
By Converse of Hinge Theorem
Big