Download Name: Date: Core-Geo: 2.2ConditionalStatements Warm

Name: _________________________
Date: _______________
Core-Geo: 2.2ConditionalStatements
Warm-up:
1. Solve for x: 5x + 34 = -2(1 – 7x)
2. Solve for x: -5(1 – 5x) + 5(-8x – 2) = -4x – 8x
3. Simplify:
24
1.6 Review
Complete the following table:
Number of sides
Name of Polygon
3
4
5
6
7
8
9
10
12
1
2.2 Conditional Statements
A conditional statement is a _____________ statement that has _____ parts, a
_____________________ and a _______________. These statements are often
written in ____- __________ form. The “if” part contains the _______________ and
the “then” part contains the _________________________.
Given: If it is raining, then the street is wet.
Which is the hypothesis?
The conclusion?
Ex. 1 Rewriting Statements
Rewrite the statements below in if-then form.
1. All birds have feathers.
2. All 90˚ angles are right angles.
3. Rugby players are athletes.
4. Supplementary angles are angle pairs with a sum of 180˚.
Conditional statements can be true or false. To prove that it is false, you only need
one ______________________________. ( Similar to conjectures)
To write the ________________of a conditional statement, switch the ____________
and the _______________________ of the statement. This does not include
switching the key words, _____ and ________.
Ex. 2 Converses
Write the converse of each conditional statement below. Is the converse true or false?
1. If the water is frozen, then its temperature is below 0˚ Celsius.
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2. If an animal is a dog, then it is a mammal.
Definitions can be written as a ______________________statement in if-then form.
Both the _______________________statement and its _____________________ are
true if they are based on definitions.
Perpendicular Lines Definition: If __________ __________________intersect to
form a ________________ angle, then they are _________________________ lines.
The converse:
To describe perpendicular lines, we can say l ^ m .
Example 3 Using Definitions
Is the statement true based on the diagram
and definitions?
a)
ACD and BDC are supplementary.
b)
ACD and
BDC are adjacent angles.
c) AC ^ CD
Example 4 Rewriting Definitions
Rewrite the definitions for the terms below in if-then form.
1) Midpoint:
3
2) Angle Bisector:
Core Geometry Assessment for Learning Check-In
1. Sketch three collinear points.
2. Sketch a pair of vertical angles. Mark them appropriately with tick marks to show
congruent angles.
3. Use inductive reasoning to draw the next term:
4. Use inductive reasoning to find the next three terms: 1, 4, 9, 16, …
5. Develop a conjecture for the product of two odd integers.
6. Construct a segment FG that is twice as long as the given segment.
7. Construct obtuse angle ANT and bisect it with NO . Now construct
angle congruent to
ANO .
4
BIG , an
8. Determine if the following points are collinear: A(1, 1), B(-2, 8) and C(4, -6).
9. Point M(1,2) is the midpoint of segment RS and point R has coordinates (-3, 5).
Determine the coordinates of point S.
Hmwk #8
p. 82 # 1, 4, 7, 8, 10, 11, 39
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