Calculations
If a right triangle has a side length of 5 and a hypotenuse of 13, what is the length of the third side?
12
If two parallel lines are cut by a transversal, then the corresponding angles are _______
Congruent (Corresponding Angles are Congruent Postulate)
What is a scalene triangle?
A triangle where all three sides are different lengths.
State a converse for the given conditional statement: “If it rained last night, then the sidewalk is wet"
Converse: “If the sidewalk is wet, then it rained last night”
What is a bisector?
A bisector is something that cuts an object into two equal parts. It is applied to angles and line segments.
If line AD = 18 and is bisected by line BC at point E, what is the length of line AE?
AE = 9
Which theorem states: If EG is the bisector of <DEF, then m<DEG = 1/2 (<DEF) and m<GEF = 1/2 (<DEF)?
Angle Bisector Theorem
The ______ side of any triangle will be across from the largest angle
largest
State an inverse for the given conditional statement: “If it rained last night, then the sidewalk is wet
Inverse: “If it did not rain last night, then the sidewalk is not wet”
What is the definition of collinear?
Points on the same line
Find the area of a triangle with a base of 4 and a height of 6
12
Which postulate states: If B is between A and C then, AB+BC = AC
Segment Addition Postulate (SAP)
What type of triangle is a 45-45-90 triangle?
An isosceles right triangle
State a contrapositive for the given conditional statement: “If it rained last night, then the sidewalk is wet
Contrapositive: “If the sidewalk is not wet, then it did not rain last night”
Define supplementary and complementary angles
Supplementary: Two angles whose measures sum to 90 degrees
Complementary: Two angles whose measures sum to 180 degrees
Find the distance between the points (-4,9) and (1,-3)
13
Which triangle congruence postulate states: If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.
Side Angle Side (SAS)
If a2 +b2 > c2 then the angle opposite side c is ______.
Acute
What conclusion can be made from the following statements: "You work at a tech store selling phones; you get a commission of $100 each time you sell a phone. Today was a busy day and you sold 9 phones. "
You made $900 in commissions today
What is the difference between a line and a ray?
A line extends infinitely in both directions while a ray only extends in one direction.
If we have two similar right triangles, one with a hypotenuse length of 3 and the other with a hypotenuse length of 15 what is the scale factor between the two triangles?
1:5
What does the vertical angles theorem state?
Vertical angles are congruent.
What is the median of a triangle?
A median of a triangle is a line running from a vertex of the triangle to the midpoint of the opposite side of the triangle
Determine if the given conclusion is true or false based on the following statements.
1. Megan and John go to the arcade
2. When Megan goes to the arcade, she always plays all the games.
3. John played the game lottery.
Conclusion: Megan also played the game lottery.
True
What does SOH-CAH-TOA stand for?
sin = opposite/hyp, cos = adj/hyp, tan = opp/hyp