Find points
Find the midpoint of segment AB A(2,3), B(6,7)?
M=(2+62,3+72)=(4,5)
Rhombus diagonals are 12 and 16. Find side length
Diagonals bisects at right angles
s=62+82=10
Find the slope of the line passing through (3,8) and (-2,-7)
m=-7-8/-2-3=-15/-5=3
Angles A and B are complementary. If A=2x-3 and B=x+18, find both.
(2x-3)+(x+18)=90
3x+15=90=x=25
Angles: A=47, B=43
What is the definition of Congruent?
Congruent mean equal =.
Find the distance between P(-1,4) and Q (5,-2)?
d=(5+1)2+(-2-4)2=62+(-6)2=72=62
What does point stands for in Geometry?
An exact location in space. A point is usually represented by a dot and a capital letter.
Write the equation of the line with slope m=-2 through point (4,1)
y-1=-2(x-4)
y=-2x+9
If a transversal intersects two parallel lines, corresponding angle is 120, find all other angles.
Corresponding=120
Vertical=120
Alternate interior=120
Adjacent linear pair=180-120=60
What is the definition of line?
A line is typically represented with arrowheads at both ends.
Is the line y=3x+7 parallel to 3y=9x-12?
Second equation gives y=3x-4.
Slopes both= 3, Yes they're parallel.
What does midpoint stands for in Math?
The exact middle point of a line segment.
If vertical angles measure 5x+10 and 7x-20, find the angle measure.
5x+10=7x-20
30=2x=x=15
Angle= 5(15) +10=85
If alternate interior angles measure 75 and 75, proie lines are parallel.
Since alternate interior angles are congruent
Lines are parallel by AIA converse.
How do we find a midpoint?
We add the x-values and divide by 2, then add the y-values and divide by 2.
Triangle sides: 8,8,5 classify it
Two sides equal, isosceles triangle.
What is the definition of a parallel line?
Lines in the same plane that never intersect and are equidistant from each other.
Base=10, height=7. Find are.
A=1/2 bh=35
Rectangle with length 9 and width 12.
Find diagonal.
d=92+122=225=15
Supplementary Angles mean?
Two angles whose measures sum 180.
Triangle has angles 2x,3x,and x. Find the angles.
2x+3x+x=180=6x=18-=x=30
Angles= 60,90,30.
What is complementary angles?
Two angles that add up to 90.
Opposite sides of parallelogram ABCD are:
AB=12, BC=8. What is CD and AD?
Parallelogram-opposites sides equal: CD=12,AD=8.
Square has diagonal=8.
Find side length
s/2=8-s=8/2=4/2
What does reflection stand for?
A transformation that flips a figure over a line to create a mirror image.