VOCABULARY & ANGLE RELATIONSHIPS
Two angles that form a straight line
Supplementary angles
Find the distance between (0,0) and (6,8).
10
Side-Side-Side stands for
Sum of interior angles of a Quadrilateral
360
A flip across the line.
If two vertical angles are formed and one measures 48 degrees, what's the other?
48
Find the Midpoint of (-4,2) and (6,8)
(1,5)
Triangle with all sides congruent
Equilateral
Quadrilaterals with two parts of parallel sides
Parallelogram
Reflect (5,-3) over the y-axis
(-5.-3)
Two parallel lines are cut by a transversal. Corresponding angles measure (2x+10) degrees and (4x-30) degrees
Find X
X=20
Find the distance between (1,2) and (7,10)
10
Two angles and included side are congruent
ASA
If a parallelogram has one right angle, it is a:
Rectangle
Rotate (3,-2) 180 degrees across the origin.
(-3,2)
Two angles of a triangle measure (3x-5) degrees and (2x+15) degrees.
The third angle measures 60 degrees. Find X
X=22
A(0.0), B(4,0), C(0,3).
Classify triangle ABC.
Sides: 3, 4, 5
Right triangle
Why does AAA NOT prove congruence
It provides similarity only (sides can differ)
A quadrilateral has one right angle and opposite sides equal. Without knowing the side lengths, what type of quadrilateral must it be?
Rectangle
If all corresponding sides are proportional, triangles are similar by ......
SSS Similarity
In an isosceles triangle, each base angle measures (3x+10)
The vertex angle measures 40 degrees
Find X
X=20
A(2,1), B(6,5), C(10,1).
Show triangle ABC is isosceles
AB=Square root of 32
BC=Square root of 32
AC=8
AC=BC makes it an isosceles
Given:
AB=AC
AD bisects angle A
AD=AD
Prove Angle ABD= Angle ACD
SAS
A quadrilateral has diagonals that are perpendicular and bisect each other, but its angles are not 90 degrees. What is the name of this quadrilateral, and why can't it be a square or rectangle.
rhombus-it can't be a square or rectangle because the angles aren't 90 degrees.
A triangle is dilated by scale factor 2.
Original area=12
New area=?
48