Chapter 1- Points, Lines, and Planes
Angles that add to 90* are called...
Complementary angles
What is the converse of this statement?
If it is a leap year, then it is a year with 366 days.
If it is a year with 366 days, then it is a leap year.
What types of theorems do we use to prove that lines are parallel?
Converse
How many lines of symmetry does a regular hexagon have?
6
Bonus (100 pts)- What is the rotational symmetry of this shape?
Which angle patterns CANNOT be used to prove congruence?
AAA, SSA
M is the midpoint of AC. AM= x+2 and MC=7x-4. Find the length of AC.
6
Name the property of equality that states:
If 3=x, then x=3.
Symmetric Property
Which types of angle pairs are congruent when lines are parallel?
Alternate Interior, Alternate Exterior, Corresponding Angles
Write a single rule for this composite translation.
Translation 1 (x,y)-> (x+3, y-4)
Translation 2 (x,y) -> (x-12, y-2)
(x,y)->(x-9, y-6)
The external angle of a triangle is (5x-10)*. The remote interior angles are (3x)* and 40*. Find the measure of the exterior angle.
115*
<ABC is a straight angle. Ray BX intersects the segment. m<ABX=(14x+70)* and m<CBX=(20x+8)*. Find x.
x=3
Name the property that justifies this series of steps:
AB+BC=AC
AB+BC=DC
AC=DC
Transitive Property
Which types of angle pairs are supplementary when lines are parallel?
Same side Exterior, consecutive (same side) interior
Where will triangle ABC lie after a reflection over the line y=-x.
A(1,1)
B(4,1)
C(2,4)
A'(-1,-1)
B'(-1,-4)
C'(-4,-2)
If ABCDE~=LMNOP, then CBAED~= _______
NMLPO
Find the distance between L(-4,5) and N(5,-3) rounded to the nearest whole number
12
What are vertical angles?
Two angles whose sides form opposite rays.
Write the equation of a line that passes through point P(3,8) that is parallel to y=1/5(x+4) in point-slope form.
y-8=1/5(x-3)
Write the coordinates of the segment BC after a reflection over x=4 and rotation of 90*
B(3,4)
C(5,1)
B"(-4,5)
C"(-1,3)
What do you use CPCTC for?
You use it when you have already proven that two triangles are congruent to prove that the other angles and sides are congruent.
The midpoint of segment JK is M(0,1). One endpoint is J(-6,3). Find the coordinates of endpoint K.
K (6,-1)
Solve the equation. Justify every step.
3(7x-9)-19x=-15
3(7x-9)-19x=-15 Given
21x-27-19x=-15 Distribution POE
2x-27=-15 Simplify
2x=12 Addition POE
x=6 Division POE
Write a slope-intercept equation of the line passing through point P(2,3) that is perpendicular to the line
y-4=-2(x+3)
y=1/2x+2
Where will the points of triangle DEF lie after a 180* rotation and dilation with k=1/3?
D(0,0)
E(-6,9)
F(-3,-3)
D"(0,0)
E"(2,-3)
F"(1,1)
Name all theorems that could be used to prove triangles ABD and CDB are congruent. All must be included to earn the points.
HL, ASA, AAS, SAS