Geometry Topic 1 Review

What are the fundamental building blocks of geometry?

• Points, lines, and planes

• Theorems

• Proofs

• Conditional Statements

Solve for x.

• 6

• 12

• 33

• 16.5

If

 $m\angle EBG=60\degree;\ m\angle FBG=2m\angle EBF;\$  find the measure of angle EBF.

•  $60\degree$  

•  $20\degree$  

•  $40\degree$  

•  $80\degree$  

If

 $m\angle GBH\ =\ 28\degree,\ \ \ find\ \ m\angle GBC\ =\ _{ }$  

•  $28\degree$  

•  $14\degree$  

•  $88\degree$  

•  $56\degree$  

Find the midpoint of

 $\overline{GH.}$  G(5, 1)    H(1, -1)

• (2, 0)

• (6, 0)

• (3, 0)

• (0, 3)

Find the midpoint of 

 $\overline{EF},$  E(-3, 2) F(1, 3)

• (-4, -1)

• (-2, 5)

• (-1, -0.5)

• (-1, 2.5)

Find the length of EF. E(-3, 2) F(1, 3)

• $\sqrt{15}=3.9$

• $\sqrt{17}=4.1$

• $\sqrt{5}=2.2$

• $\sqrt{3}=1.7$

Choose either a counterexample to disprove the statement or support it with four examples.

"All triangles have three congruent angles."

• False, a counterexample would be a triangle with angle measures 30 degrees, 60 degrees, and 90 degrees.

• True, four examples would be: 1. an equilateral triangle 2. a triangle with angles 60 degrees, 60 degrees, and 60 degrees 3. an equiangular triangle 4. a right isosceles triangle

What is the converse of "If a number is a multiple of 4, then it is a multiple of 2."

• If a number is not a multiple of 4, then it is not a multiple of 2.

• If a number is a multiple of 2, then it is a multiple of 4.

• If a number is not a multiple of 2, then it is not a multiple of 4.

• A number is a multiple of 4 if and only if it is a multiple of 2.

State if the conditional statement is True, if not, find a counterexample.

"If a number is less than 4, then it is prime."

• True 2 is an example

• True 3 is an example

• False, 1 is not prime