Define my style
What is a ray?
A ray is a part of a line consisting of an endpoint and all points on one side of the endpoint. Starts at a point and then goes on to infinity in only one direction.
Given: B is the midpoint of segment AC; BC=5.
What is the length of the segment AC?
10 units
What does it mean to have 2 angles complementary?
Their measures add up to be 90 degrees.
What does k mean in regards to geometric transformations?
The k is the scale factor for the dilations.
What is so special about an equilateral triangle?
All 3 sides are congruent and all 3 angles are 60 degrees.
What makes an angle?
An angle is formed when 2 rays begin at the same endpoint but then extend off in their own directions in to infinity.
Given: the ray AT is the angle bisector of <CAM; the m<CAM=30 degrees.
What is the measure of <CAT?
15 degrees
What does it mean to have 2 angles supplementary?
Their measures add up to 180 degrees
If the value of k is equal to 1, what happens to the pre-image?
Nothing. Multiplying by 1 doesn't change anything about the shape.
What makes an isosceles triangle special?
Name 2 properties
1-base angles are congruent
2-two legs are congruent
What is a segment?
A segment has 2 definitive endpoints where it starts/stops. Many shapes consist of various endpoints.
Find the midpoint between F(3,16) and R(7,-6)
M(5,5)
When is it appropriate to use CPCTC in a proof?
If the prove statement talks about additional parts of triangles that are also congruent as an after thought. You must first have used one of the 5 reasons for triangle congruency first!
What happens if the center of dilation is a point on the pre-image?
*hint-what rhyme did I say in class?
It is stuck like glue, it won't move!
All the other segments will become parallel to the pre-image if it is NOT attached to the center of the dilation.
What is the term for a line segment drawn from one vertex to the opposite side creating a perpendicular relationship?
What is a circle?
A circle is the set of all points that are equidistant from a given (center) point.
What are the coordinates of the point B if A(2,4) its midpoint is at M(5,0) for the segment AB?
B(8,-4)
The statement:
AB=AB
is an example of what property?
Reflexive Property of equality.
What kind of shapes do dilations ALWAYS create?
Similar figures!
What is the term for the point of concurrency of all the altitudes in a triangle?
Orthocenter.
Right triangles-at the 90;
Acute triangles-inside the figure;
Obtuse triangles-outside the figure
What is a vertex?
A vertex is the point at the intersection of two or more sides, or at the intersection of 3 or more faces. The vertex letter is how we would name the angle.
Find the distance between T(-4,2) and P(15,6)
d=about 19.4 units or square root of 377
The statement(s):
m<1=m<2,
m<3=m<2,
m<1=m<3.
Illustrate what property?
Transitive property of equality
What is the 3 step process for performing a dilation NOT at the origin?
1-subtract the center
2-multiply the k value
3-add the center back in
What is the relationship between an exterior angle and it's remote interior angle pair?
The exterior angle measure is equal to the sum of it's remote interior angle pair.