Show:
Vocabulary
Postulates and Theorems
Parallel Lines, Transversals, and Slopes
Triangles and their Segments
Always, Sometimes, and Never statements
100
1) These are triangles in which all of the angles are less than 90 degrees. 2) The is the point on a segement exactly halfway between the endpoints of the segment.
1) What are acute triangles? 2) What is a midpoint? Lessons 4-1 and 1-3
100
1) For starters, this is a statement that can be written in in an "if-then" form 2) From the statement above the statement in which the hypothesis and conclusion swith places is called a(n) ________
What is 1) a conditional statement? 2) the converse? Lesson 2-3
100
1) If Angles 2 and 4 are nonadjacent interior angles that lie on the opposite sides of the transversal, these angles are __________ ________ to each other 2) Angle 1 lies on the same side as Angle 4, but angle 1 is on top of the parallel lines, while angle 4 is in between the two lines and inside the bottom one. The angles here are __________
What are 1) alternate interior angles 2) corresponding angles? Lesson 3-1
100
1) A triagle has two sides that both equal 2.5 inches long with the other side being 5 inches long. This is a(n) ________ triangle. 2) A triangle has three sides that are 4.75, 3.2, and 8.9. This is a(n) _______ triangle
What is 1) an isoceles triangle? 2) a scalene triangle? Lesson 4-1
100
1) You _______ need a counterexample to prove that a conjecture is wrong. 2) An equiangular trinagle is _______ an equilateral triangle
What is 1) "always"? 2) "always"? Lesson 2-3 and Lesson 4-1
200
1) The formlua is d=the square root of (x2-x1)2+(y2-y1)2 2) What are two angles that lie in the same plane, have a common vertex and a common side, but no common interior points
1) What is the distance formula? 2) What are adjacent angles? Lessons 1-3 and 1-5
200
This is a theorum that states "if the noncommon sides of two adjacent angles form a right angle, then the two angles form a ________ angles". Another theorem states that "if two angles form a linear pair, then they are _________ angles" State these two theorems.
What are the Complement Theorum and Supplement Theorum? Lesson 2-8
200
1) If Angles 3 and 4 are consecutive interior angles, and if Angle 1 is the corresponding angle to Angle 4, then Angles 1 and 3 are _______ __________
What are linear pairs? Lesson 3-1
200
1) The sides of isoceles triangle ABC has the side lengths of 3.8,3.8, and 7.2. If the angle with the 7.2 side measure ment is 80 degrees, what are the angle measurements of the other two? 2) Angle 4 is the exterior angle if triangle ABC. If the remote interior angles measure to be 54 and 61, the measure for angle 4 is ______
What is 1) the angle meausrements of 50 degrees each? This is due to the fact that if a triangle has two congruent sides, then it must also have two congruent angles. 2) 115 degrees. Lesson 4-2 and 4-6
200
Parallel lines are lines that will never intersect and will ______ be coplanar, skew lines are lines that will never intersect and are ________ coplanar.
What is "always" and "never"? Lesson 3-1
300
1) A line that intersects two or more coplanar lines at two different points. 2) What is the conjunction of a conditional statemtn and its converse
1) What is a transversal? 2) What is the biconditional? Lessons 3-1 and 2-3
300
1) If all of the sides and angles of triangle ABC and triangle DEF are congruent to each other, then the trianlges are congruent too. This is because of what theorem? 2) This postulate states that "if two parallel lines are cut by a transversal, then each pair of consecutive interior angles is supplementary. Name this postulate and its other statemtn if you wanted to prove if they were parallel lines.
What is the 1) "corresponding parts of congruent triangles are congruent theorem", or the CPCTC. 2) The "consecutive interior angles theorum" and the "consecutive interior angles converse theorum". Lesson 4-3 and Lesson 3-5
300
The midpoint of a Line AB if the coordinates are A: (-1,3) and B: (7,3) is _______
What is the undefined slope of 0/8? Lesson 3-4
300
1) This is a segment with endpoints being a vertex of a triangle and the midpoint of the opposite side. 2) This is a segment that is perpendicular and that extends from the midpoint to the other side of the triangle.
What is 1) the median? 2) the perpendicular bisector? Lesson 5-2
300
1) Two lines cut by a transversal will _______ be parallel if the alternate interior angles are not equal. 2) The pependicular bisector will _______ split a side by its midpoint
What is 1) "never"? 2) "always" Lesson 3-4
400
1) It is a2+b2=c2. It is used to find the hypotenuse or legs of a triangle. 2) It is an equation of the form y-y1=m(x-x1), where (x1,y1) are the coordinates of any point on the line and "m" is the slope of the line.
1) What is the pythagorean theorem? 2) What is the point-slope form? Lessons 8-2 and 3-4
400
There are multiple postulates that can be used to define if triangles are congruent to each other. In fact, there are four of them. Please give these postulates in their initials and what they stand for.
What are the SSS (side, side, side), the SAS (side, angle side), the AAS (angle, angle, side), and the ASA (angle, side, angle) postulates? Lesson 4-5
400
The slopes of 4/3, -2/18, 24/0, and 0/187 are examples of what four kinds of linear slopes are represented here, respectively.
What are positive, negative, zero, and undefined slopes? Lesson 3-3
400
1) Perpendicular bisectors, angle bisectors, medians, and altitudes all have these points of concurrency. List them in order. 2) What must be the range of the third side of an unequal triangle if the other two sides are 7 and 5?
What are 1) circumcenters, incenters, centriods, and orthocenters? 2) the range of 2
400
The altitude will _________ be on the inside of a traingle.
What is "sometimes"? Lesson 5-2
500
1) A proof that uses statements written in boxes and arrows to show the logical progression of an argument 2) In a triangle, a segment from a vertex of the triangle to the line containing the opposite side and perpendicular to that side.
1) What is a flow proof? 2) What is altitude? Lessons 4-2 and 5-2
500
This theorum states that "in a plane, if two parallel lines are perpendicular to the same line, then they are parallel"
What is the Perpendicular Transversal Converse theorum? Lesson 3-5
500
The point-slope and slope-intercept form of Line FH if F: (-2,4) and H: (8,10) is _________ and _______.
What is 1) y-4=3/5(x+2) and 2) y=3/5x+4/5 Lesson 3-4
500
1) This triangle segment has a point of concurrency that is two-thirds of the distance from each vertex to the midpoint of the opposite side. Name this segment and its point of concurrency. 2) If three angles on a triangle were 35, 63, annd 82 and you had to order the sides of the triagles from least to greatest, you would do this by __________
What is 1) a median with a point of concurrency called a centroid? 2) you would find the side that is opposite of the angle with the measure of 35. That would be your smallest side. To find the next largest side, you would find the side opposite of the angle with the measure of 63. To find the largest side, you would find the side opposite of the angle with the meausre of 82 degrees. Lesson 5-2 and 5-3
500
1) The circumcenter of an obtuse triangle will ________ be on the inside of a triangle. 2) The incenter will ________ be 2/3's of the distance from each vertex to the midpoint of the opposite side.
What is 1) "never"? 2) "never" Lesson 5-2