Chapter 2 Basic Concepts and Proofs Honors Geometry Review

1.

Find the area of the figure below:
2.

Observe the perimeter to the nearest 10th.
iii.

Which of the following are true?
- A.
  
  Lines AE, BE, CE and DE are concurrent at signal Eastward.
- B.
  
  Points A, E and D are collinear
- C.
  
  Points A, E and D are not-coplanar
- D.
  
  Lines AB, AE and CD are concurrent at signal A.
- E.
  
  None of the in a higher place are true.
iv.

A tetrahedron has iv triangular faces. How many edges does it take?
5.

How many distinct planes does the tetrahedron's faces define?
6.

How many corners does the tetrahedron have?
7.

What is truthful based on the Euler diagram shown below?
- A.
  
  If you do non get a lot of slumber, and so you accept a newborn child.
- B.
  
  All people who exercise non get a lot of sleep have newborn children.
- C.
  
  If you exercise not have a newborn kid, then you get a lot of sleep.
- D.
  
  If you lot go a lot of sleep, then you practise not have a newborn child.
- Eastward.
  
  All people who practice not get a lot of sleep take newborn children.
8.

What vocabulary word describes the ii statements below?If you lot wear blue, then you are a senior.If you lot are a senior, then you vesture blueish.The 2d statement is the _____________ of the first statement.
9.

Which of the following statements means the same as:All medical doctors went to medical school.
- A.
  
  If you went to medical school, then you lot are a medical doc.
- B.
  
  If you did not go to medical schoolhouse, so you are not a medical medico.
- C.
  
  All people who went to medical school are medical doctors.
- D.
  
  No people who went to medical schoolhouse are medical doctors.
- E.
  
  If you are not a medical doctor, so you did not go to medical school.
10.

What exercise nosotros telephone call the terms signal, line and plane in Geometry?
- A.
  
  They are postulates.
- B.
  
  They are theorems.
- C.
  
  They are undefined terms.
- D.
  
  They are definitions.
- East.
  
  None of the above.
eleven.

Iii noncollinear points determine a airplane. The statement in a higher place is considered a(due north) ____________.
- A.
  
  Undefined term.
- B.
  
  Theorem
- C.
  
  Definition
- D.
  
  Postulate
- E.
  
  None of the to a higher place
12.

Points are collinear iff at that place is a line that contains all of them.The above statement is considered a(northward) ____________
- A.
  
  Definition
- B.
  
  Theorem
- C.
  
  Postulate
- D.
  
  Undefined term
- Due east.
  
  None of the above
13.

Which of the following are true nigh Triangle ABC if angle A = 40 degrees and Angle B = 100 degrees?I. Triangle ABC is obtuse.II. Triangle ABC is acute.Iii Triangle ABC is isosceles.
- A.
  
  I only
- B.
  
  II just
- C.
  
  Iii only
- D.
  
  I and Ii but
- E.
  
  I and III just
14.

The altitude formula that allows you to find the length of a line segment depends on the formula:a^ii + b^ii = c^ii, where a and b are the legs of a right triangle and c is the hypotenuse. This fact is an example of a(n)______________
- A.
  
  Definition
- B.
  
  Undefined term
- C.
  
  Theorem
- D.
  
  Postulate
- East.
  
  None of the above
xv.

The globe's circumference is approximately 25000 miles. Urban center A and B are 2500 miles apart. At apex in City A, the sun is directly overhead. What is the bending the sun makes with standing objects in Urban center B at the same fourth dimension?
16.

How many circles are required to bisect a segment?
17.

How many circles are required to bisect an angle?
18.

What is the all-time clarification in words of the Euler diagram below?
- A.
  
  It is a bleep if it is a blop.
- B.
  
  It is a blop if information technology is a blip.
- C.
  
  Information technology is a blip iff it is a blop.
- D.
  
  No blops are blips.
- East.
  
  No blips are blops.
19.

What conclusion can yous make from the following statements?You had a stressful day today.If you walk fast, you will make information technology to school on time.If you wear sneakers, then your feet are comfortable.If yous make information technology to school on fourth dimension, you will non have a stressful mean solar day.If your anxiety are comfortable, then you lot can walk fast.
- A.
  
  Y'all wore sneakers today.
- B.
  
  You did not habiliment sneakers today.
- C.
  
  You lot got to schoolhouse on time today.
- D.
  
  You walked fast to schoolhouse today.
- E.
  
  Your feet were comfortable.
twenty.

A. Martha is an only child.B. Martha has a blood brother.C. 1 of these statements is false.If all of the higher up statements are either True or False, which tin you lot conclude?
- A.
  
  All three statements are true.
- B.
  
  Only statement A is true
- C.
  
  Only argument B is true.
- D.
  
  Statements B and C are true.
- Eastward.
  
  All statements are false.
21.

To prove that you cannot have two obtuse angles in a triangle, you lot start by assuming there exists a triangle in which there are two obtuse angles.What kind of proof are y'all beginning?
- A.
  
  Direct
- B.
  
  Indirect
- C.
  
  Anterior
- D.
  
  None of the above