Free Printable MATH9 EXAM

1.

It is a four sided polygon.

It has 4 vertices and the sum of the interior angles is $360°$ .

a)

Kite

b)

Quadrilateral

c)

Rectangle

d)

Rhombus

2.

Which of the following is not a parallelogram?

a)

Square

b)

Trapezoid

c)

Rectangle

d)

Rhombus

3.

A quadrilateral with only one pair of opposite sides are parallel.

a)

Kite

b)

Parallelogram

c)

Square

d)

Trapezoid

4.

A parallelogram with four congruent sides.

a)

Square

b)

Trapezoid

c)

Rectangle

d)

Rhombus

5.

What is the total interior angle of a quadrilateral?

a)

$90°$

b)

$120°$

c)

$180°$

d)

$360°$

6.

Which of the following is NOT true about the Properties of a Rectangle?

a)

A rectangle has four sides, four vertices and four angles

b)

Opposite sides are parallel

c)

Opposite sides are congruent

d)

Diagonals are perpendicular to each other

7.

The followings are true about the properties of Rhombus, EXCEPT.

a)

Diagonals are congruent

b)

Diagonals bisect each other

c)

Diagonals bisect opposite vertices

d)

Diagonals are perpendicular to each other

8.

Which of the following is TRUE about the diagonals of a square?

a)

Diagonals are not equal

b)

Diagonals bisect adjacent sides

c)

Diagonals bisect consecutive vertices

d)

Diagonals are perpendicular

9.

It is a parallelogram whose diagonals are congruent and perpendicular to each other.

a)

Kite

b)

Rectangle

c)

Rhombus

d)

Square

10.

If a parallelogram has one right angle, then it has four right angles. Which of the following describe this theorem?

a)

Rectangle

b)

Rhombus

c)

Square

d)

Trapezoid

11.

It is the comparison between two numbers or quantities.

a)

Congruence

b)

Similarities

c)

Proportion

d)

Ratio

12.

It is an equation that shows two ratio are equal.

a)

Similarities

b)

Ratio

c)

Proportion

d)

Congruence

13.

Which of the following ratio shows proportion?

a)

4:6 and 10:15

b)

4:6 and 8:12

c)

9:12 and 8:12

d)

9:12 and 10:15

14.

Given the Ratio 2:7 and 20:56. Which of the following are the extreme?

a)

2 and 20

b)

7 and 56

c)

2 and 56

d)

7 and 20

15.

Given the proportion $\frac{6}{x+3}=\frac{4}{x}$ .

Solve for x.

a)

4

b)

6

c)

12

d)

18

16.

Camille plans to divide a rope 80 meters long into three pieces in the ratio 3:5:8.

What will be the length of each pieces?

a)

5, 20, and 55

b)

10, 25, and 45

c)

15, 30, and 35

d)

15, 25, and 40

17.

The ratio of the angle of a triangle is 3:5:7. Find the measure of each angle.

a)

$36°:60°:84°$

b)

$29°:45°:106°$

c)

$40°:60°:80°$

d)

$15°:45°:120°$

18.

The ratio of boys to girls in the Mathematics club is 4 to 5. If there are 25 girls in the club, how many boys are there in the club?

a)

10

b)

20

c)

30

d)

40

19.

Refer to the given figure.

TUVW is a quadrilateral.

What is the value of x?

a)

2

b)

4

c)

6

d)

8

20.

Refer to the given figure.

TUVW is a quadrilateral.

What is the measure of $\angle W$ ?

a)

$77\degree$

b)

$87\degree$

c)

$97\degree$

d)

$107\degree$

21.

Refer to the given figure.

TUVW is a quadrilateral.

What is the measure of $\angle V$ ?

a)

$75\degree$

b)

$85\degree$

c)

$95\degree$

d)

$105\degree$

22.

According to the definition of a kite, "A kite is a quadrilateral with..."

a)

2 pairs of OPPOSITE congruent sides.

b)

2 pairs of CONSECUTIVE congruent sides.

c)

4 congruent sides.

d)

congruent diagonals.

23.

Which of the following statements is False?

a)

BD and AC are perpendicular

b)

BD and AC are congruent

c)

∠A and ∠C are congruent

d)

AD and DC are congruent

24.

Kite LMNO is shown.
Solve for x.

a)

32

b)

148

c)

90

d)

58

25.

Which of the following is NOT a properties of an Isosceles Trapezoid.

a)

Legs are congruent.

b)

Base angles are congruent

c)

Diagonals are congruent

d)

Consecutive angles are complementary

26.

Refer to the given figure.

Trapezoid ABCD. $\overline{EF}$ is the midline.

The legs of the given trapezoid are:

a)

$\overline{AB}\ \ and\ \ \overline{CD}$

b)

$\overline{AB}\ \ and\ \ \overline{DB}$

c)

$\overline{BD}\ \ and\ \ \overline{CD}$

d)

$\overline{AC}\ \ and\ \ \overline{BD}$

27.

Refer to the given figure.

Trapezoid ABCD. $\overline{EF}$ is the midline.

The base of the given trapezoid are:

a)

$\overline{AB}\ \ and\ \ \overline{DB}$

b)

$\overline{AB}\ \ and\ \ \overline{CD}$

c)

$\overline{BD}\ \ and\ \ \overline{CD}$

d)

$\overline{AC}\ \ and\ \ \overline{BD}$

28.

Refer to the given figure.

Trapezoid ABCD. $\overline{EF}$ is the midline.

$\ If\ \overline{AB}=10,\ and\ \overline{CD}=20,\ What\ is\ \overline{EF}?$

a)

10

b)

15

c)

20

d)

25

29.

Given Isosceles Trapezoid ABCD.

$\overline{EF}$ is the midline.

$If\ m∠A=115°,\ what\ is\ m∠B?$

a)

$35\degree$

b)

$75\degree$

c)

$115\degree$

d)

$135\degree$

30.

In Triangle $\Delta ABC$ ,

M and N are midpoint of $\overline{BA}$ and $\overline{CA}$ respectively.

$\overline{BM}\cong$ ____

a)

$\overline{MN}$

b)

$\overline{BC}$

c)

$\overline{MA}$

d)

$\overline{CN}$

31.

In Triangle $\Delta ABC$ ,

M and N are midpoint of $\overline{BA}$ and $\overline{CA}$ respectively.

$\overline{BC}\cong$ 2(____)

a)

$\overline{MN}$

b)

$\overline{BC}$

c)

$\overline{MA}$

d)

$\overline{CN}$

32.

In Triangle $\Delta ABC$ ,

M and N are midpoint of $\overline{BA}$ and $\overline{CA}$ respectively.

$\overline{AC}\cong\overline{AN}+$ ____

a)

$\overline{MB}$

b)

$\overline{AM}$

c)

$\overline{NC}$

d)

$\overline{MN}$

33.

In Triangle $\Delta ABC$ ,

M and N are midpoint of $\overline{BA}$ and $\overline{CA}$ respectively.

If $\overline{BC}=36$ , then $\overline{MN}=$ ____

a)

9

b)

18

c)

24

d)

36

34.

In Triangle $\Delta ABC$ ,

M and N are midpoint of $\overline{BA}$ and $\overline{CA}$ respectively.

If $\overline{AM}=10$ , then $\overline{MB}=$ ____

a)

4

b)

5

c)

8

d)

10

35.

If a line is drawn parallel to one side of a triangle and intersects the other two sides in distinct points, then it divides the sides into segments proportionally. Which of the following describe this?

a)

Midline Theorem

b)

Theorem on Triangle

c)

Basic proportional Theorem

d)

Theorem on Parallelogram

36.

Solve for y:

a)

18

b)

36

c)

7.5

d)

20

37.

Solve for x:

a)

2

b)

10

c)

18

d)

20

38.

The following are true about similarity, EXCEPT:

a)

Same shape

b)

The corresponding sides are proportional

c)

Denoted by “ $\cong$ "

d)

The corresponding angles are congruent

39.

It is the amount of enlargement or reduction needed to get a similar figure from the other.

a)

Similarity Ratio

b)

Scale Factor

c)

Proportion

d)

Ratio

40.

It is the simplest form of the ratio of the lengths of two corresponding sides of similar triangles.

a)

Ratio

b)

Similarity Ratio

c)

Proportion

d)

Scale Factor

41.

In this theorem, the length of the hypotenuse is twice as long as the shorter leg, and the length of the longer leg is $\sqrt[]{3}$ times as long as the shorter leg.

a)

$30°-60°-90°$ TriangleTheorem

b)

$45°-45°-90°$ TriangleTheorem

c)

Basic Proportional Theorem

d)

Midline Theorem

42.

In this theorem, the hypotenuse is $\sqrt[]{2}$ times the length of the leg.

a)

$30°-60°-90°$ TriangleTheorem

b)

$45°-45°-90°$ TriangleTheorem

c)

Right Triangle Similarity Theorem

d)

AA Similarity Theorem

43.

According to this theorem, If two angles of a triangle are congruent to two angles of another triangle, then the triangles are similar.

a)

AA Similarity Theorem

b)

$45°-45°-90°$ TriangleTheorem

c)

Geometric Means Theorem

d)

SAS Similarity Theorem

44.

This theorem states that, if one angle of a triangle is congruent to one angle of another triangle and the sides that include these angles are proportional, then the two triangles are similar.

a)

AA Similarity Theorem

b)

$45°-45°-90°$ TriangleTheorem

c)

SSS Similarity Theorem

d)

SAS Similarity Theorem

45.

This theorem proves that if the corresponding sides of two triangles are proportional, then to two triangles are similar.

a)

AA Similarity Theorem

b)

ASA Similarity Theorem

c)

SSS Similarity Theorem

d)

SAS Similarity Theorem

46.

Which of the following pair of triangles is not similar?

a)

b)

c)

d)

47.

In Triangle $\Delta BCN$ , $\overline{CA}\ \perp\ \overline{BN}$ .

Solve for h:

a)

$15\ \sqrt[]{3}$

b)

$12\ \sqrt[]{3}$

c)

$9\ \sqrt[]{3}$

d)

$6\ \sqrt[]{3}$

48.

In Triangle $\Delta BCN$ , $\overline{CA}\ \perp\ \overline{BN}$ .

Solve for x:

a)

6

b)

12

c)

18

d)

24

49.

In Triangle $\Delta BCN$ , $\overline{CA}\ \perp\ \overline{BN}$ .

Solve for y:

a)

3

b)

9

c)

18

d)

27

50.

In Triangle $\Delta BCN$ , $\overline{CA}\ \perp\ \overline{BN}$ .

Solve for b:

a)

$6\ \sqrt[]{3}$

b)

$9\ \sqrt[]{3}$

c)

$12\ \sqrt[]{3}$

d)

$15\ \sqrt[]{3}$

MATH9 EXAM

Total questions: 50

Worksheet time: 1hrs 24mins

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