Free Printable Geometry Topic 1 Review

1.

Arriving at a conclusion by observing patterns is (a)

2.

According to the (a) , if a conditional statement and its hypothesis are true, then its conclusion is also true.

3.

A statement of the form if not q, then not p, is a (a) of the conditional if p then q.

4.

What are the fundamental building blocks of geometry?

a)

Points, lines, and planes

b)

Theorems

c)

Proofs

d)

Conditional Statements

5.

Solve for x.

a)

6

b)

12

c)

33

d)

16.5

6.

If

m\angle EBG=60\degree;\ m\angle FBG=2m\angle EBF;\

find the measure of angle EBF.

a)

$60\degree$

b)

$20\degree$

c)

$40\degree$

d)

$80\degree$

7.

If

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

a)

$28\degree$

b)

$14\degree$

c)

$88\degree$

d)

$56\degree$

8.

Find the midpoint of

\overline{GH.}

G(5, 1) H(1, -1)

a)

(2, 0)

b)

(6, 0)

c)

(3, 0)

d)

(0, 3)

9.

Find the length of GH. G(5,1) H(1, -1)

a)

$\sqrt{20}=2\sqrt{5}=4.5$

b)

$\sqrt{12}=2\sqrt{3}=3.5$

c)

6

d)

$\sqrt{14}=3.7$

10.

Find the midpoint of

\overline{EF},

E(-3, 2) F(1, 3)

a)

(-4, -1)

b)

(-2, 5)

c)

(-1, -0.5)

d)

(-1, 2.5)

11.

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

a)

$\sqrt{15}=3.9$

b)

$\sqrt{17}=4.1$

c)

$\sqrt{5}=2.2$

d)

$\sqrt{3}=1.7$

12.

Use inductive reasoning to find the next two terms in the sequence 1, 2, 6, 24, 120, ____, ______

(a)

13.

Use inductive reasoning to find the next two terms in this sequence. 2, 5, 9, 14, 20, ____, _____

(a)

14.

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

"All triangles have three congruent angles."

a)

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

b)

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

15.

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

a)

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

b)

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

c)

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

d)

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

16.

If a conditional statement is

P\rightarrow Q

then its inverse is....

a)

$Q\rightarrow P$

b)

$\sim Q\rightarrow\sim P$

c)

$\sim P\rightarrow\sim Q$

d)

$P\leftrightarrow Q$

17.

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

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

a)

True 2 is an example

b)

True 3 is an example

c)

False, 1 is not prime

18.

If AB = BC, then DE = 2(AB), AB = 6 and BC = 6.

What can you conclude about DE ?

a)

DE = 6

b)

DE = 12

c)

DE = 26

d)

DE = 24

19.

Use the Vertical Angles Theorem to solve for x and to find the measure of each angle.

a)

$x\ =\ 5.4;\ 42.8\degree,\ 11.2\degree$

b)

$x\ =\ 12.6;\ 57.2\degree,\ 57.2\degree$

c)

$x\ =\ 30.6;\ 92.2\degree,\ 92.2\degree$

d)

$x\ =\ 37;\ 106\degree,\ 106\degree$

Geometry Topic 1 Review

Total questions: 19

Worksheet time: 34mins

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