Free Printable Semester 1 Exam Review

1.

If you are studying botany, then you are studying biology.

If you are studying biology, then you are studying science.

What can be concluded using the Law of Syllogism?

a)

If you are studying biology, then you are studying botany.

b)

If you are studying science, then you are studying botany.

c)

If you are studying botany, then you are studying science.

d)

If you are studying science, then you are not studying botany.

2.

What is the contrapositive of the conditional statement? Determine whether the contrapositive is true or false. If it is false, find a counterexample.

People who live in New York live in the United States.

a)

People who do not live in the United States do not live in New York. True

b)

People who do not live in New York do not live in the United States. False; they could live in VA.

c)

People who live in the United States live in New York. False; they could live in VA.

d)

People who do not live in New York live in the United States. True

3.

Consider the following statements represented by p and q :

p: The sum of two angles is $90\degree$

q: The two angles are complementary.

Which of the following is a symbolic representation of the statement?

If two angles are not complementary, then the sum of the two angles is not $90\degree$

a)

$q\ \longrightarrow\ p$

b)

$p\ \longrightarrow\ q$

c)

$\sim q\ \longrightarrow\ \sim p$

d)

$\sim p\ \longrightarrow\ \sim q$

4.

What is the converse of the given conditional statement. Then, determine whether the converse is true or false.

If you own a dog, then you are a pet owner.

a)

If you are not a pet owner, then you do not own a dog. False.

b)

If you are a pet owner, then you own a dog. False.

c)

If you are a pet owner, then you own a dog. True.

d)

If you are not a pet owner, then you do not own a dog. True

5.

In the figure, $m\angle RPZ\ =\ 95\degree$ and $\overline{TU}\ \parallel\ \overline{RQ}\ \parallel\ \overline{VW}$ . What is the measure of angle WSP?

a)

$95\degree$

b)

$85\degree$

c)

$75\degree$

d)

$65\degree$

6.

In the figure $\overline{AB}\ \parallel\ \overline{CD}.\$ What are the values of x and y ?

a)

x = 32, y = 140

b)

x = 140, y = 52

c)

x = 52, y = 140

d)

x = 38, y = 154

7.

Line a is parallel to line b if -

What conclusion can be deduced about angles 3 and 5?

a)

They are supplementary.

b)

They are complementary.

c)

They alternate interior angles.

d)

They are alternate exterior angles.

8.

What are the coordinates of the midpoint of the segment whose endpoints are H (8, 2) and K (6, -10) ?

a)

(7, -4)

b)

(2, 12)

c)

(14, 12)

d)

(14, -8)

9.

If the coordinates of A are (1, 1) and the midpoint of $\overline{AB}$ is (0, 0.5), then the coordinates of B are --

a)

(-0.5, 0.5)

b)

(0.5, 0.5)

c)

(-1, 0)

d)

(-5, -1)

10.

What is the slope of the line, which passes through the origin and (-2, 3) ?

a)

$\frac{3}{2}$

b)

$\frac{2}{3}$

c)

$-\frac{2}{3}$

d)

$-\frac{3}{2}$

11.

If the coordinate of point A' is (2, 5) which transformation has been constructed for triangle ABC ?

a)

Translation

b)

Dilation

c)

Supplementary

d)

Reflection

12.

Directions: Write your answer as a decimal to the nearest tenth. Use "." for the decimal point. Do not use spaces.

The coordinates of the endpoints of a line segment are given. What is the length of the line segment?

Q(2, -4), R(12, 6)

(a)

13.

Directions: Select 3 correct answers.

A line and three points are shown on the grid. The line on the grid contains the points (-1, 2) and (5, -2). The point is located at (-4, -4) on the grid.

Find the coordinates of the three points that lay on a line, which passes through point P and is perpendicular to line c .

a)

(-6, -7)

b)

(-6, 7)

c)

(2, -5)

d)

(0, 2)

e)

(4, 9)

14.

Triangle ABC has vertices A (-5, 2), B (0, -4), and C (3, 3). What are the vertices of the image of the triangle ABC under the translation $\left(x,\ y\right)\ \longrightarrow\ \left(x\ +\ 7,\ y\ -\ 5\right)$ ?

a)

A' (2, -3)

B' (7, -9)

C' (10, -2)

b)

A' (-12, -3)

B' (-7, -9)

C' (-4, -2)

c)

A' (-12, 7)

B' (-7, 1)

C' (-4, 8)

d)

A' (2, -3)

B' (10, -2)

C' (7, -9)

15.

What type of construction is illustrated in the figure?

a)

The bisection of $\angle\ D$

b)

The bisection of $\overline{BD}$

c)

The angle congruent to $\angle\ D$

d)

The line segment congruent to $\overline{AB}$

16.

Which best describes the construction in the diagram shown?

a)

The bisector of a line segment

b)

A line segment congruent to a given line segment

c)

A perpendicular line through a given point on the line

d)

A perpendicular line through a given point not on the line

17.

Which could be the lengths of the sides of $\Delta XYZ$ ?

a)

XY = 16

YZ = 23

XZ = 40

b)

XY = 22

YZ = 13

XZ = 8

c)

XY = 15

YZ = 9

XZ = 8

d)

XY = 25

YZ = 19

XZ = 3

18.

The lengths of two sides of $\Delta XYZ$ are 21 inches and 38 inches. Which could NOT be the length of the third side?

a)

18 inches

b)

35 inches

c)

50 inches

d)

59 inches

19.

Can 8 inches, 15 inches, and 11 inches be the lengths of the sides of a triangle? Explain.

a)

Yes; the third side is the longest.

b)

No; the sum of the lengths of two sides is not greater than the third.

c)

No; the first side is not long enough.

d)

Yes; the sum of the lengths of any two sides is greater than the third.

20.

Which list has the sides of $\Delta\ ABC$ ordered from shortest to longest?

a)

$\overline{BC},\ \overline{AC},\ \overline{AB}$

b)

$\overline{AC},\ \overline{AB},\ \overline{BC}$

c)

$\overline{BC},\ \overline{AB},\ \overline{AC}$

d)

$\overline{AB},\ \overline{AC},\ \overline{BC}$

21.

Given: In this figure $\overline{AC}$ and $\overline{BD}$ bisect each other.

Based on the information given, which could prove triangle AED is congruent to triangle CEB?

a)

Angle - Angle - Side (AAS)

b)

Angle - Side - Angle (ASA)

c)

Side - Angle - Side (SAS)

d)

Side - Side - Side (SSS)

22.

In the diagram, it is given that C is the midpoint of $\overline{BD}$ , that $\overline{AB}\ \perp\ \overline{BD}$ and that $\overline{BD}\ \perp\ \overline{DE}$ .

Prove $\Delta ABC\ \cong\ \Delta\ EDC\$ completing the proof.

a)

5. Perpendicular lines form right angles.

6. All right angles are congruent.

7. Angle - Side - Angle

b)

5. Given

6. All right angles are congruent.

7. Side - Angle - Side

c)

5. Alternate interior angles are congruent.

6. All right angles are congruent.

7. Side - Side - Side

d)

5. Angle - Side - Angle

6. All right angles are congruent.

7. Given

23.

If $\Delta LMQ$ is similar to $\Delta LNP$ , then $\overline{LN}\ :\ \overline{LM}\ =\ ?\ :\ \overline{LQ}$ . Which can be used to replace the " ? " to make the statement true?

a)

$\overline{LP}$

b)

$\overline{LQ}$

c)

$\overline{MQ}$

d)

$\overline{NP}$

24.

Which similarity statement and postulate or theorem correctly identifies the relationship?

a)

$\Delta ABC\ \sim\ \Delta FED$ by SSS

b)

$\Delta ABC\ \sim\ \Delta DEF$ by SAS

c)

$\Delta ABC\ \sim\ \Delta FED$ by AAS

d)

$\Delta ABC\ \sim\ \Delta DEF$ by AA

25.

Find the value of x to the nearest centimeter.

a)

10 cm

b)

12 cm

c)

36 cm

d)

77 cm

Semester 1 Exam Review

Total questions: 25

Worksheet time: 1hrs 13mins

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