U1 Definitions
Two segments are congruent if and only if ...
... their lengths are equal.
True or false?
If a number is a multiple of 10, then it is even.
True
What are the headings for each column in a two-column proof?
What allows you to switch from to
AB=CD
to
\overline{AB} \cong \overline{CD}
?
Definition of congruence
If a point is a midpoint of a segment, then ...
... it divides the segment into two congruent segments.
Write the statement that follows from these two:
1. x is a negative number.
2. If x is negative, then x2 is positive.
x2 is positive
What two postulates let us write an equation solely from a diagram?
Segment Addition Postulate and Angle Addition Postulate
What does the Reflexive Property of Congruence say?
\overline{AB] \cong \overline{AB}, \angle A \cong \angle A
If two angles are both supplementary and adjacent, then ...
... they form a linear pair.
Write the statement that follows from these two:
1. If a figure is a rhombus, then the figure is a parallelogram.
2. If a figure is a parallelogram, then the figure has two pairs of opposite sides that are parallel.
If a figure is a rhombus, then the figure has two pairs of opposite sides that are parallel.
Write the segment addition postulate.
If B is between A and C, then AB + BC = AC.
Write a biconditional statement to define the word perpendicular
Two lines are perpendicular if and only if they intersect to create right (90º) angles
If the measures of two angles sum to 90º, then ...
... the angles are complementary.
A line s divides segment MN into two line segments, so line s is a segment bisector of MN.
[Answers may vary]
Some drawing with line s intersecting anywhere but the midpoint.
What type of proof uses boxes and arrows to show a logical argument?
Flowchart proof
What property takes you from
m\angle A = 30, m\angle C = 30
to
m\angle A = m\angle C
?
Transitive Property
If two angles are supplementary, then ...
... their angle measures sum to 180º.
What conclusion can you make from these statements?
1. If a figure is a square, then it has four right angles.
2. If a figure is a square, then it has four congruent sides.
No conclusion can be made.
Write the angle addition postulate.
If R is in the interior of ∠PST, then m∠PSR + m∠RST = m∠PST.
What property is used to say that if 3x + 5y = 7, and y = 2x, then 3x + 5(2x) = 7?
Substitution Property of Equality