Download Geometry - Washington

Geometry
Name: _______________
SOL Review
Chapter 1
Midpoint Formula:
Distance Formula:
Slope Formula:
Use distance formula when you see the word: _________
Complementary Angles add up to ________
Supplementary Angles add up to ________
Bisect means: ________________________
Chapter 2
Rules:
Converse:
 _________________
Inverse:
 ____________
Contrapositive:
 ____________
~ ____________
Example: Write the converse, inverse and contrapositive for the given conditional.
Original:
Converse:
Inverse:
Contrapositive:
Law of Syllogism:
If Jenelle gets a job, then she can afford a car. If Jenelle can afford a car, then she will drive to school.
Conclusion?
Law of Detachment:
If the measure of an angle is greater than 90˚ the angle is obtuse. The m<A is 120˚.
Conclusion?
Chapter 3
Parallel Lines:
Perpendicular Lines:
Parallel Slopes:
Perpendicular Slopes:
Corresponding Angles:
Alternate Interior Angles:
Alternate Exterior Angles:
Consecutive Interior Angles:
Example: Solve for x.
Which lines are parallel?
w
x
y
z
Are the equations parallel or perpendicular?
2x  y  7
2y  x 8
What is the slope of the 2 points?
(0, -5)
(-3, 7)
Plot a point that makes the parallel line.
Plot a point that makes the perpendicular line.
Chapter 4
Angles in a triangle add up to _______________
Exterior Angle Theorem:
Angle Congruence Theorems
__________
__________
__________
__________
__________
Chapter 5
3 sides form a triangle if the sum of the 2 small sides is ______________ than the large side.
Example: Do 17, 15, 14 form a triangle?
Example: List angles from least to greatest.
List sides from least to greatest.
Constructions:
Angle Bisector
Perpendicular Bisector
Chapter 6
Similar Triangles
Similar: same angle measures and all sides have the same _______________
Solve similar triangle problems with a _____________________
Example: Solve for x.
Which triangles are similar?
Angle Congruence Theorems
__________
__________
__________
Chapter 7
Pythagorean Theorem _______________________
Examples: Solve for x.
What type of triangle is formed?
5, 7, 10
Special Right Triangles
Examples: Solve for x and y.
SohCahToa
Examples: Solve for x.
Chapter 8
Sum of Interior Angles: ________________
Sum of Exterior Angles: ________________
Examples: Find the number of sides.
Exterior Angle = 40
Interior Angle = 150
Example: Solve for x.
Parallelograms
Opposite sides are _________________
Opposite angles are _______________
Diagonals ______________
Consecutive angles are _________________
Shapes that Tessellate:
_____________________
______________________
_____________________
Exterior Angles of a tessellation add to: ____________
Chapter 9
Line Symmetry:
Point Symmetry:
Reflect across the y-axis
Rotate 270 degrees
Tessellate the figure (x + 5, y – 2)
Dilation: Scale Factor = 3
Chapter 10
Equation of a Circle: _______________________
Example: Plot the center and a point on the circle.
( x  6)2  y 2  16
Degrees in a circle: ____________
Central Angle
Inscribed Angle
Chapter 11-12
Arc length: _________________________
Sector Area: __________________________
Similar Areas and Volumes
Scale Factor
Area Ratio
Volume Ratio
Find the Surface Area of the larger box, B.
Find the Volume of the larger box, B.
Scale Factor: 1:2
Scale Factor: 1:2
If the Volume ratio of 2 spheres is 216: 343, find the Scale Factor. _______________
If the Area ratio of 2 trapezoids is 64: 81, find the Scale Factor: _______________
Volumes you Add
Areas you Subtract