Download Conditional Statements/ Inductive Reasoning - MrsG-Geometry-CHS

Conditional
Statements/
Inductive
Reasoning
Basic
Geometry
Midpoint/
Distance/
Properties of
Lines
Bisectors and
Intersecting
Lines
Triangles
100
100
100
100
100
200
200
200
200
200
300
300
300
300
300
400
400
400
400
400
500
500
500
500
500
Conditional Statements/ Inductive
Reasoning– 100
Find the converse of the following
statement.
“If you brought a book for this Geometry
class, then it is a green book.”
Converse: If it is a green
book, then you brought a
book for this Geometry
class.
Conditional Statements/ Inductive
Reasoning– 200
Find the contrapositive of the following
conditional statement:
“If I finish my homework, then I will watch
TV.”
Contrapositive: If I did not watch TV,
then I did not finish my homework.
Conditional Statements/ Inductive
Reasoning– 300
Use inductive reasoning to figure out the 17th term.
2, 6, 10, 14, ….
2+4(17) = 70
Conditional Statements/ Inductive
Reasoning– 400
Find the inverse of the following conditional
statement.
“If Mrs. Gonzales is not working, then it is
summertime.”
Inverse: If Mrs. Gonzales is working,
then it is not summertime.
Conditional Statements/ Inductive
Reasoning– 1000 (DOUBLE JEOPARDY!)
Determine the truth values of the conditional
statement, converse, inverse, and contrapositive of
the following statement.
Conditional: If it is 11:15 am on a regular B day,
then we are at lunch.
Conditional: True
Converse: False
Inverse: False
Contrapositive: True
Basic Geometry - 100
True or false? A, B, and D are collinear.
False
Basic Geometry - 200
True or false? A lies on BC.
True
Basic Geometry - 300
_______ ________ are points that
lie on the same plane.
Coplanar Points
Basic Geometry - 400
Lines k1 and k2 intersect at point E. Line m is
perpendicular to lines k1 and k2 at point E. Which
statement is always true?
a.
Lines k1 and k2are perpendicular.
b.
Line m is parallel to the plane
determined by lines k1 and k2.
c.
Line m is perpendicular to the plane
determined by lines k1 and k2.
d.
Line m is coplanar with lines k1 and k2.
C
Basic Geometry - 500
AC = A’C’. Find the length of AC.
A 3x – 1 in
A’
30 in
B
7x + 9 in
C
D 4x + 8 in
C’
58
Midpoint/Distance/Properties of Lines–
100
Use the table to find the slope of the line.
x
y
-2
1
4
7
10
-7
0
7
14
21
7/3
Midpoint/Distance/Properties of Lines–
200
Find the midpoint of (8,0) and
(0,4).
(4,2)
Midpoint/Distance/Properties of Lines–
300
Circle O has a diameter with endpoints E(8, 1) and
F(1, 1). Find the distance, or length, of the
diameter.
7
Midpoint/Distance/Properties of Lines–
800 DOUBLE JEOPARDY!
Find the midpoint of (2, 3b) and
(2a, 5b-2).
(1+1a, 4b-1)
Midpoint/Distance/Properties of Lines–
500
What is the slope of the line perpendicular to
-3y-5=5x
3/5
+ 10
Bisectors and Intersecting Lines- 100
Find the measure of a. You must justify your
answer.
60 degrees,
vertical angles
Bisectors and Intersecting Lines- 200
What do you call the line that
intersects two other lines?
A transversal.
Bisectors and Intersecting Lines- 300
Which two lines are parallel?
Lines d and e
Bisectors and Intersecting Lines- 400
If ray AD bisects ∠BAC, what is the value of
x?
B
D
4x+37˚
A
3x+39˚
C
2
Bisectors and Intersecting Lines- 500
Find the measures of x, y, and z. You MUST
justify your answers for each.
y
84˚
z
x
y = 84 (vertical angles), x = 94 (SSI), z = 84 (AIA)
Triangles- 100
Which side lengths do NOT create a
triangle?
I) 4 in., 5 in., 9 in.
II) 12cm., 12cm., 12.cm.
III)1.5cm., 0.8cm., 3.2cm.
III) 1.5cm, 0.8cm, 3.2cm
Triangles- 200
If one of the angles of a right
triangle has a measure of 40
degrees, what is the measure of
the other acute angle?
50 degrees
Triangles- 300
Find the value of x. JUSTIFY YOUR
REASONING.
2x + 4
6x-12
Isosceles Triangle, x = 4
Triangles- 400
How is ΔABC is congruent to ΔCDA ?
SAS
Triangles- 500
List corresponding angles and corresponding sides if
ΔABC is congruent to ΔSTR.
Angles: ∠A & ∠S, ∠B & ∠T, ∠C & ∠R
Sides: AB&ST, BC&TR, AC&SR