Unit 1
Draw and label a line correctly.
Answers vary (Must have line with two arrows and two points on the line)
Name 3 ways to name a triangles angles and 3 ways to name a triangles sides
Angles: Acute, Obtuse, Right
Sides: Scalene, Isosceles, and Equilateral
What are the three ways to prove triangles are similar?
AA~, SAS~, and SSS~
All exterior angles have ______ degrees.
360
What is the converse of the conditional statement below?
"If two angles are congruent, then they are vertical angles"
If two angles are vertical angles, then they are congruent.
What is the distance formula?
Squareoot of [(x-x)^2 + (y-y)^2]
How do you determine if three side lengths form a triangle?
a + b > c (two shorter sides must be greater than the longest side)
Similar figures have corresponding angles that are ________ and corresponding sides that are ________.
Angles are congruent and sides are proportional
What is the formula to determine each interior angle in a n-sided polygon?
[(n-2) x 180] / n
Identify the postulate, theorem, or definition below:
"If two angles are complementary, then the sum of their measures is 90 degrees"
Definition of complementary angles
True or False: I can name a ray forwards and backwards.
False. Rays have to be written with the VERTEX in the front.
How do you determine if three side lengths make an acute, obtuse, or right triangle?
a^2 + b^2 _____ c^2
If a^2 + b^2 are GREATER than c^2: Acute
If a^2 + b^2 are LESS than c^2: Obtuse
If a^2 + b^2 are EQUAL to c^2: RIGHT
If the ratio of angles of a triangle are 4:7:9. What is the measure of the smallest angle?
36 degrees
Name the quadrilateral:
I have opposite sides that are congruent. My diagonals are congruent. All of my angles are 90 degrees. Each triangle inside of my shape are isosceles.
Rectangle
Identify the postulate, theorem, or definition below:
If two angles form a linear pair, then they are supplementary.
Linear Pair Theorem
Identify an equation with a line that is parallel to the following line: y = -1/2x+1
Any line that has the SAME slope
If the angles of a triangle are (x+5), (3x-1), and 60 degrees. Solve for x.
x = 29 (add all angles up to 180!)
Triangle ABC and DEF are similar triangles. If AB is 8 cm, BC is 14 cm, DE is x cm, and EF is x+3 cm, solve for segment EF.
Need to set up a proportion!
EF is (4 +3) cm = 7 cm
In a trapezoid, what relationship do you know about the angles?
Same side (consecutive) angles are supplementary!
What does the definition of an angle bisector state?
"An angle bisector divides an angle into two equal parts"
Identify the 6 different types of angle relationships and whether or not they are congruent. (Ex: Consecutive interior angles are supplementary)
Alternate Inerior Angles are congruent
Alternate Exterior Angles are congruent
Consecutive Interior Angles are supplementary
Corresponding Angles are congruent
Linear Pair are supplementary
Vertical Angles are congruent
(Consecutive exterior are supplementary)
Draw and label a triangle in order to prove HL. Make sure you identify the necessary pieces of information.
Need to label a leg, a right angle, and the hypotenuse. Do not assume that all triangles have HL congruency if you are given a right angle.
Are the following triangles similar? Why or why not?
Triangle 1 sides: 16, 14.4, 10
Triangle 2 sides: 7.2, 5, 8
Yes! 2:1 scale factor
Name all of the properties of a kite (3 specifically).
1. Exactly 2 pairs of consecutive congruent sides
2. One pair of opposite angles are congruent (and each little part across from each other are congruent).
3. Diagonals are perpendicular.
If P is the midpoint of segment MN and segment OK, what two pieces of information are you given?
(Think about the statement side of a proof)
MP = NP
OP = PK