1. Test 4 Review
    2. TEST 4 REVIEW PROBLEMS


Test 4 Review



Test 4 Review
 

I.  Know Terminology: perpendicular, complementary, supplementary, ray, etc.
II.  Know angle relationships

1 2         Š 1 = Š 3; Š 2= Š 4
      4 3       Š 1+ Š 2 = 180; Š 6+ Š 7=180
              Š 3= Š 5; Š 4= Š 6
       5 6       Š 1= Š 5; Š 3= Š 7
        8 7
 
 
III.  Polygons
a)  Sum of the interior angles: S = (n ā€“ 2)180
b)  Measure of an exterior angle: 360 ø n
 
IV.  Triangles
a)  Sum of the angles = 180
b)  Angles opposite equal sides are =
c)  An exterior angle of a triangle equals the sum of the 2 interior angles that are ā€œoppositeā€ the exterior angle.

70
             x = 70 + 65
             x =135
x 65

 
d)  The sum of any two sides of a triangle must be greater than the third side.
Ex) A triangle could not have sides with length 1, 4 and 5 because 1 + 4 = 5 (has to be greater)
 
V.  Know properties about quadrilaterals: parallelograms, rectangles, squares, rhombus, and trapezoids.
 
VI.  Know ā€œmethodsā€ to prove triangles congruent:
SSS, SAS, AAS, ASA,HL
 
VII.  Sides of similar figures form proportions. (Be sure to match up sides)


16            16      x
             12 8
 
8
12
VIII.  Know perimeter and area formulas.
Perimeter: add up the sides.
 Circle ā€“ Circumference: C = p d
Area:
 A = bh    (parallelogram)
 A = Ā½ bh  (triangle)
 A = Ā½ h(b1 + b2)    (trapezoid)
 A = p r2    (circle)
 
 
IX.  Know what happens if I were to change the side of a figure what would happen to the area. For example, if I double the radius of a circle what happens to the area?
 
X.   Proportions in right triangles
   
   a) left segment       altitude    b) hypotenuse     leg  
    altitude   right segment leg adjacent segment
 
 
 
XI.  Pythagorean Theorem: c2 = a2 + b2
 
XII.  Special Right Triangles: 45-45-90 and 30-60-90
 
XIII.  Trig: Sine, Cosine, and Tangent
 
XIV.  Distance and Midpoint
D = Ö (x2 ā€“ x1)2 + (y2 ā€“ y1)2
 
M = x1 + x2   y1 + y2
2  2
 
 
XV.  Coordinate Geometry Proofs
 
 
 
 
 
 
 
 
 
 
 


TEST 4 REVIEW PROBLEMS



TEST 4 REVIEW PROBLEMS
 

1.  Find the sum of the interior angles of a pentagon.
 
 
2.  If the circumference of a circle is 12 p , find the area of the circle.
 
 
 
3.     A    5x ā€“ 60  B
        C
       x +20
   D         E
 
 Find the measure of angle ACD.
 
 
 
 
3.  The measure of angle CBD is 165. The measure of angle BAC is 80. Find the measure of angle ACB.
C
 
 

A        B    D
 
 
4.  Find the distance and midpoint of the following points (-2, 3) and (4, -1)
 
 
 
 
 
5. Triangle ABC ~ Triangle DEF. Find x.
 


  12    12
           15
 
 
10  x
 
 
 
6.Find the area of the shaded figure.
 
       20

 
      13
15
      12
 

     
 
 
 
7.  If the diameter of a circle is doubled, then the circumference would
A. Multiply by 4  B. is halved    C. Doubled  D. Increases by 2
 
 
8.  Give an example of a Pythagorean Triple. Show why itā€™s a Pythagorean Triple.
 
 
 
 
9.  If two sides of a triangle measure 4 and 7, the length of the third side could be
A. 11    B. 2    C. 3    D. 10
 
 
10.  Find the missing side.
 

 
14     22
 
 
 
 
11. Find x          
             

 
 
  x 12  
 
   
 
 
 
 
 
 
 
 
 
 

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