potpourri
What is the distance from (0, 0) to (5, 12).
13 units
A right triangle has internal angles: <a, <b, and <c where <a = 90 degrees.
< b and <c are ___________.
Complementary angles.
The converse of the statement "If A then B."
If B then A.
These are the three ways triangles can be classified by their sides.
scalene, isosceles, equilateral.
A pentagon has this internal angle sum.
540 degrees
What are the the coordinates of the midpoint of a line segment whose endpoints are (x1, y1) and (x2, y2).
X coordinate is (x1 + x2)/2.
Y coordinate is (y1 + y2)/2.
Line segment AB bisects straight angle <CBD.
<ABD is a _________ angle.
right
In mathematics, this is a statement that is proved and then is used to justify other statements.
A theorem.
Of the following, these two are NOT theorems of triangle congruence:
SAS
SSA
AAA
SSS
ASA
AAS
AAA and SSA
The diagonal of a rhombus divides the figure into two _________, _________ triangles.
congruent, isosceles
If AB = BC, then B is ________ from A and C.
equidistant
Same side angles on a parallelogram are supplementary because of this theorem about parallel lines.
If parallel lines are cut by a transversal, then same side interior angles are supplementary.
An assumption that is made in a proof is called this.
A postulate or axiom.
Two isosceles triangles have a vertex angle of 30 degrees and a base of 5 cm. This is a theorem that can be used to prove that the triangles are congruent.
One way is to compute base angles then use ASA.
(There are others.)
This is the length of a diagonal of a rectangle whose sides are 6 and 8 units long.
10 units
Two lines in a plane that are both perpendicular to the same line are this.
parallel
m<1 = 4x + 6
m<2 = 2x + 12
What is the measure of the smaller angle if the two angles are complementary?
36
Another name for an IF-THEN statement.
A conditional statement.
This is the length of an altitude of an equilateral triangle whose side length is 6 units.
3 times the square root of 3.
This is the number of diagonals that a pentagon has.
5
Which word(s) belong in the blank:
The diagonals of a _______ are congruent.
rhombus
rectangle
parallelogram
square
isosceles trapezoid
rectangle, square, isosceles trapezoid
An external angle of triangle ABC has a measure of 80 degrees. It is this kind of triangle:
(a) acute,
(b) obtuse, or
(c) right
Obtuse
What is the name given for the following type of logical statement:
If A then B and if B then A.
A "biconditional statement”
It is the line segment that connects a triangle's vertex to the midpoint of the opposite side.
median
Which quadrilateral does not always have perpendicular diagonals?
square
parallelogram
rhombus
kite
A parallelogram