Transcript Geometry Chapter 2

Geometry Chapter 2
Benedict
Warm Up 12
1. The _____ of a conditional statement is
found by switching the hypothesis and
conclusion.
2. Write the hypothesis and conclusion of
the statement; “If the dew equals the air
temperature, then it will rain.”
3. Write the statement in if-then form.
The measure of a right angle is 90 degrees.
Re-teach 12
Conditional statement- two parts; a
hypothesis and a conclusion.
Statement written in “if-then form”, the
“if” is the hypothesis and “then” is the
conclusion
If it is a block day, then it is a
Wednesday or Thursday.
Re-teach 12
Negation- writing the negative of the
statement
Wednesday is not a block day
Contrapositive- negating the hypothesis
and the conclusion of the converse
Practice 12
Directions: Rewrite the conditional
statement in if-then form.
Three points are collinear if they lie on
the same line.
Beating LM gets us a half day on
Monday.
Closure 12
Directions: Write the converse of the
statement.
If the angle measures 38°, then it is
acute.
I will go to the movies if it is raining.
Warm Up 13
Directions: Use the graph on the flashcard
to answer the questions.
13. Points A, F and G are collinear.
15. DC is perpendicular to line l.
17. < FBJ and <JBA are complementary.
19. <ABJ and <DCH are supplementary.
Practice 13
Directions: Rewrite the biconditional statement
as a conditional statement and its converse.
23. A point is a midpoint of a segment if
and only if it divides the segment into two
congruent segments.
Directions: Give a counterexample that
demonstrates that the converse of the
statement is false.
25. If two angles measure 42° and 48°, then
they are complementary.
Closure 13
Directions: Find the measures of a
complement and a supplement of the
angle.
87°
Warm Up 14
Directions: Find the distance between
the two points. Answer will be a
decimal.
35. A (4, 5) B (-3, -2)
Directions: Given the endpoint and the
midpoint of the segment, find the
other endpoint.
41. B (5, 7) M (-1, 0)
Practice 14
Directions: Pair up and complete
problems 31-35 on the flashcard.
Re-teach 15
Parallel lines- coplaner lines that do not
intersect.
Skew lines- lines that are not coplaner
and do not intersect.
Transversal- line that intersects two or
more coplaner lines at different points.
Re-teach 15
Alternate Exterior Angles- lie outside two
lines on opposite sides of the transversal.
Alternate Interior Angles- lie between two
lines on opposite sides of transversal.
Consecutive Interior angles or Same Side
Interior Angles- lie in between two lines on
same side of the transversal.
Re-teach 15
Corresponding Angles- Angles in
matching corners are called
corresponding angles.
Practice 15
Directions Use the following graph to identify
– Corresponding Angles
– Alternate Exterior Angles
– Alternate Interior Angles
– Consecutive Interior Angles/Same Side Interior
Warm Up 16
Directions: Find the value of x.
Practice 16
Directions: Work with a partner to solve
the problems on the worksheet.
When finished turn it in to the bin.
Warm Up 18
Directions: Find the value of x. Explain
what makes r and s parallel.
Practice 18
Directions: Work together to solve the
problems on the worksheet.
Re-teach 19
Slope
Finding slope: (-2, 7) (3, 2)
Re-teach 19
Equation of a line
Solving for b (-2, 7) (3, 2)
Practice 19
Find the slope of the line and then
create an equation of the line for the
following points.
5. (2, 5) (4, 1)
Practice 19
Find the slope of the line. Determine if
the points are parallel.
17. (-5, 9) (-1, 1) and (0, 7) (3, 1)
19. (0, 4) (-2, -2) and (4, 2) (2, -6)
21. (0,7) (-6, 2) and (5, 1) (-2, -4)
Practice 19
Find the slope of the line. Determine if
line AC is perpendicular to line BD.
A (-1, -2) C (0, 1) and B (-3, 2) D (3, 0)
A ( -2, -1) C (4, 1) and B (-2, 3) D (0, -2)
Closure 19
Directions: Explain whether the lines are
perpendicular, parallel or neither.
y = -2x – 1; y = -2x – 3
y = -1/2x + 3; y = - 1/2x + 5
y = -3x + 1; y = 1/3x + 1
y = 4x + 10; y = -2x + 5