Unit one
Simplify the equation:
(x + 9) + (4x + 3)
X= 2.4
True or false:
A square is a rhonbus
True
Name the five ways to prove triangles are congruent.
SSS, SAS, ASA, AAS, and HL.
Define: Triangle
A closed figure with three sides
Simplify this equation:
(5x2+3x-8)+(-4x-3)
5x2-x-11
If angles are in the same position and same side of the transversal, what relationship is this?
Corresponding Angles
Which two methods do not work to prove triangles are congruent?
AAA (Angle-Angle-Angle) and SSA (Side-Side-Angle).
Define: Parallel
lines in the same plane that never intersect
Simplify the equation:
4x2(3x-1)
12x3-4x2
Are the following lines parallel, perpendicular, or neither?
3x + 4y = 20 and y = 3/4 x + 4
(Hint use desmos)
parallel
What does the acronym CPCTC stand for
Corresponding Parts of Congruent Triangles are Congruent
Define: Perpendicular
lines at an angle of 90° to a given line, plane, or surface.
Simplify the equation.
(−2x2− 2)(3x2+ 4x + 1)
-6x4-8x3-8x2-8x-2
If <1 and <3 are same side interior angles, if <1 equals 45 than what is <3?
135
The original triangle has a side of 2,4, and 6. The copied image of that triangle has the sides of 4,8, and 12. What is the scale factor?
2
Define: Congruent
One figure is called congruent to another figure if there is a sequence of translations, rotations, and reflections that takes the first figure onto the second.
Classify the following polynomial by its degree and number of terms: 8x3 + x − 5
a) Cubic Trinomial b) Quadratic Trinomial c) Quadratic Binomial d) Cubic Binomial
a) Cubic Trinomial
If E is the midpoint of CD then CE = ED (what property, definition, postulate, or theorem)
Definition of Midpoint
Can a triangle have side lengths 3 cm, 4 cm, and 8 cm?
No, because the sum of the two shorter sides (3 + 4 = 7) must be greater than the longest side (8) to form a triangle
CB=42 BD=98 B=68 degrees
QR=36 QS=84 Q=68 degrees
The △ABC is similar to ~
△SRQ
Define: Isoseles
A triangle that has all three sides the same length