Segment and Angle addition
Midpoint and Distance
Patterns
Conditionals
Proofs
Basic Constructions
100
If DM=35, what is the value of r?
A. 12 B. 13 C. 14 D. 15
A. 12
100
Explain how to find the midpoint
((x_1+x_2)/(2),(y_1+y_2)/(2))
Find the average of the coordinates of two points
Add the x coordinates divide by 2 and add the y coordinates and divide by 2
100
What does the term conjecture mean?
A. it is when two words are brought together to make a single work.
B. it is when two railroad tracks come together.
C. it is when a rule or conclusion is made based on a pattern.
D. it is when a statement is made that disproves a pattern.
C. Found in section 1-4
100
Use the Law of Detachment to make a conclusion.
If a person wants to get a car, that person must buy car insurance. Jayla wants to get a car.
A Jayla has car insurance.
B Jayla has her driver’s license.
C Jayla must get her driver’s license.
D Jayla must buy car insurance.
D
100
What reason should always be given when starting a proof?
Given.
100
What tools are we using in this geometry class to create constructions?
Protractor (w/ straight edge) and Compass
200
What is m\angle PQR ?
133
200
What is the coordinate of the midpoint of segment GO?
0 or K
200
The first 3 pictures are shown below
How many bananas are in the 5th picture?
27 Bananas
3, 6, 11, 18, 27
200
Is the converse of the conditional below true?
If a polygon is a triangle, then it has exactly three sides.
If it has exactly three sides, then the polygon is a triangle
(IF 3 sides, THEN triangle)
200
The statement “Angle 2 is congruent to angle 4” is justified by the ________________________ Theorem.
Vertical Angles Theorem
200
What object is by drawing a ray that is half way between the legs and starts at the vertex?
Angle Bisector
300
If angle1 and angle 2 are a linear pair m\angle 1 equals (4x + 2) and m\angle 2 equals 110, what is the value of x?
A 14 C 16
B 15 D 17
D
70=4x+2
300
Find the Midpoint of PQ
P(-5,4) and Q(7,-5)
(1,-1/2)
300
Bart claims that all numbers that are multiples of 5 are also multiples of 10. Which of the following numbers can be used to show that Bart's statement is not true?
A. 40 B. 36 C. 21 D. 15 E. 10
D. 15
This is a COUNTEREXAMPLE of Bart's statement.
300
If a number is an integer, then it is either positive or negative.
Which is the hypothesis of the
conditional?
A A number is an integer.
B A number is either positive or negative.
C A number is both positive and negative.
D A number is not an integer.
A
300
If mangle1 equals (4x + 2) and m\angle3 equals 110, what is the value of x?
A 24 C 26
B 25 D 27
D
300
A perpendicular bisector of DC is AB, and a perpendicular bisector of AB is DC. The intersection of AB and DC is at E. Which equation is true?
A. AB=CD
B. CE=CD
C. DE=CE
D. AE=DE
E. EB=CD
C
only one with two halves of the same line
400
What is KN+IK ?
5
400
What is the length of a segment with endpoints at (−3, 4) and (4, 4)?
7
sqrt(7^2+0^2
400
Here are the 1st three steps to a pattern
How many squares in the 50th pattern?
99
2n-1
2(50)-1
400
State a conclusion to this following set of statements, in the form of a conditional.
If you eat too much, you get a stomach ache. If you get a stomach ache, you want to rest.
If you eat too much, then you want to rest.
400
Solve for the missing variable.
x=25
400
Ray BD bisects angle ABC so that m\angle DBC =(x+6) and m\angle ABD=(2x-12) What is x?
A. 12 B. 14 C.16 D. 18
D.
500
Points L, M, and N are collinear.
You are given LM=13 and LN=20 . What is a possible value of MN?
A. 6 B. 7 C. 8 D. 9
B
500
If A=(-1,9) and the midpoint of AT is (3,-1).
What are the coordinates of T?
T=(7,-11)
500
Suppose you know that Joshua has a salad and Nora has a stir fry. Is that enough information to determine what day it is?
If yes, what day is it?
If no, what piece of information would you need to know to confirm which day it is?
NO, You would want to know if Tacos or Fish and Chips were served
500
What is wrong with the following logic:
If an animal is a dog, then it is a mammal.
If a mammal is a dog, then it has four legs.
I can conclude that if an animal has four legs then it is a mammal.
The conclusion is backwards, the correct conclusion (using the law of syllogism) is:
If an animal is a dog, then it has four legs.
500
A student uses the Vertical Angles Theorem and the definition of complementary angles to conclude
m\anglePTR=50
in the figure. What mistake did the student make?
The student used complementary angles instead of supplementary angles.
There are not 90 degree angles in the image, there are linear pairs or supplementary angles.
500
Why must the compass width be larger than half the segment width to draw a perpendicular bisector?
If the width is too small the arcs made by the compass will not overlap.
