Midterm Review
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Transcript of Midterm Review
Midterm Review
100 100 100 100 100
200 200200200200
300 300 300 300 300
400 400 400 400 400
500 500 500 500 500
Conditional Statements/
Inductive Reasoning
Basic Geometry
Midpoint/Distance/
Properties of Lines
Bisectors and Intersecting
Lines
Triangles
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: TrueConverse: FalseInverse: 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.
58
B A C
C’ D A’
3x – 1 in 7x + 9 in
4x + 8 in30 in
Midpoint/Distance/Properties of Lines– 100
Use the table to find the slope of the line.
7/3
x y-2 -71 04 77 14
10 21
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 + 10
3/5
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?
2
4x+37˚
3x+39˚A
B
D
C
Bisectors and Intersecting Lines- 500
Find the measures of x, y, and z. You MUST justify your answers for each.
y = 84 (vertical angles), x = 94 (SSI), z = 84 (AIA)
84˚x
y
z
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.
Isosceles Triangle, x = 4
2x + 4 6x-12
Triangles- 400
How is ΔABC is congruent to ΔCDA ?
SASA
B C
D
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