Geometry 2nd Quarter Exam Review Name:______

Quarter Exam Date: ______

True/False

Indicate whether the statement is true or false.

1.A triangle can be formed with side lengths 3, 7, 5?

2.A triangle can be formed with side lengths 2, 4, 6?

Multiple Choice

Identify the choice that best completes the statement or answers the question.

3.Let p = The number is prime

Let q = The number is not a composite number

If the number is not a composite number, then the number is prime.

The number is not prime.

Therefore, the number is a composite number.

Which of the following is the symbolic representation of the argument?

a. /
b. /
c. /
d. /

4. Given the argument:

If the butler committed the crime, then the maid didn’t commit the crime.

If the maid didn’t commit the crime, then the gardener didn’t commit the crime.

a. / The butler committed the crime.
b. / The gardener did not commit the crime
c. / If the butler committed the crime, then the gardener didn’t commit the crime.
d. / If the maid didn’t commit the crime, then the butler committed the crime.

5.

According the diagram which is true?

a. / No bushes are flowering plants.
b. / Some roses are flowering plants.
c. / No roses are bushes.
d. / Some flowering plants are bushes.

6.Determine the type of similarity for the triangles below.

a. / AA~
b. / SAS~
c. / SSS~
d. / Not Similar

7.If segment IJ is congruent to segment I’J’, then which point will coincide with J’?

a. / W
b. / X
c. / Y
d. / Z

8.If the length of two sides of a triangle are 4 and 7, the length of the third side may not be ? .

a. / 4
b. / 7
c. / 5
d. / 11

9.Given a triangle with side lengths 46 and 23, which of the following demonstrates the range of possible lengths for the third side?

a. / 23 < x < 46
b. / 23 < x < 69
c. / 46 < x < 69
d. / 46 < x < 23

10.What is the measure of angle A?

a. / 30°
b. / 60°
c. / 90°
d. / 100°

11.

a. / 120
b. / 115
c. / 65
d. / 60

12.Given the figure below, find the value of x.

a. / 4
b. / 5
c. / 9
d. / 10

13.

a. / m< R is the largest
b. / m< G is the largest
c. / m< R is the smallest
d. / m< G is the smallest

14.

Which lists the angles of the triangle in order from least to greatest?

a. / , ,
b. / , ,
c. / , ,
d. / , ,

15.

a. / a and b
b. / a and c
c. / b and c
d. / no lines are parallel

16.

Which congruence statement accurately represents the two triangles shown above?

a. /
b. /
c. /
d. / no congruence

17.If the measures of the angles of a triangle are in the ratio of 3:3:4, what is the measure of the largest angle of the triangle?

a. /
b. /
c. /
d. /

18.

What statement is not correct?

a. /
b. /
c. /
d. /

19.What is the measure of each interior angle of an equilateral triangle?

a. /
b. /
c. /
d. /

20.If the lengths of two sides of an isosceles triangle are 7 cm and 15 cm, what is the perimeter of the triangle?

a. / 29 cm
b. / 35 cm
c. / 30 cm
d. / 37 cm

21.In , what is the measure of ?

a. /
b. /
c. /
d. /

22.In , what is ?

a. / 2
b. / 6
c. / 5
d. /

23.What is the perimeter of the triangle?

a. / 13 m
b. / 72.5 m
c. / 24 m
d. / 81 m

24.In , what is ?

a. /
b. /
c. /
d. /

25.The midpoint of is . If the coordinates of are , what are the coordinates of ?

a. /
b. /
c. /
d. /

26.What is the midpoint of with endpoints and ?

a. /
b. /
c. /
d. /

Completion

Complete each statement.

  1. Complete the argument by filling in the conclusion.

If Mary is a doctor, then she went to medical school.

Mary is a doctor.

______

  1. Give the theorem that proves the triangles are congruent given

SSS, SAS, ASA, AAS, or HL

  1. Give the theorem that proves the triangles are congruent given

SSS, SAS, ASA, AAS, or HL

  1. Give the theorem that proves the triangles are similar. 31. Give the theorem that proves the triangles are similar.

SSS, SAS, AA SSS, SAS, AA

Matching

Given p and q below, match the logic notation with the corresponding sentences.

p: a triangle has three sides q: it measures 180 degrees

a. / a triangle has 3 sides if and only if it measures 180 degrees.
b. / If a triangle does not have 3 sides then it does not measure 180 degrees.
c. / A triangle has 3 sides and it measures 180 degrees.
d. / A triangle has 3 sides or it measures 180 degrees.

32.

33.

34.

35.

Short Answer

36.Write the converse, inverse, and contrapositive of “If it is hot, then I am tired.”

Converse:______

Inverse:______

Contrapositive:______

37.What is the contrapositive of ?

38.Construct a perpendicular bisector of line segment AB.

39.Construct the circumcenter of the triangle. Make sure you know how to find the incenter of a triangle as well.

40.Write the equation of the line that is perpendicular to the line , and that contains the point (3, -1).

Equation: ______

41.Construct an angle bisector of angle EFG.

42. Use the given coordinates to determine if .

The vertices of are D(1, 1), E(4, 0), F(7, 5).

The vertices of are X(4, -5), Y(6, -6),

Z(9, -1).

43.Given: and

Prove:

StatementsReasons

1)1)______

2)______2) Given

3)______3) ______

4)______4)______

5)______5)______

44.Given:

Prove:

StatementsReasons

1)1)______

2)______2) Alternate interior angle

theorem

3)______3) ______

4) 4)______

45.Given:

Prove:

StatementsReasons

1)1)______

2)______2) ______

3) 3)______