Quiz about MATH9 EXAM

Question 1

It is a four sided polygon.

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

Accepted Answer

Quadrilateral

Answer

Kite

Answer

Rectangle

Answer

Rhombus

Question 2

Which of the following is not a parallelogram?

Accepted Answer

Trapezoid

Answer

Square

Answer

Rectangle

Answer

Rhombus

Question 3

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

Accepted Answer

Trapezoid

Answer

Kite

Answer

Parallelogram

Answer

Square

Question 4

A parallelogram with four congruent sides.

Accepted Answer

Rhombus

Answer

Square

Answer

Trapezoid

Answer

Rectangle

Question 5

What is the total interior angle of a quadrilateral?

Accepted Answer

$$360°$$

Answer

$$90°$$

Answer

$$120°$$

Answer

$$180°$$

Question 6

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

Accepted Answer

Diagonals are perpendicular to each other

Answer

A rectangle has four sides, four vertices and four angles

Answer

Opposite sides are parallel

Answer

Opposite sides are congruent

Question 7

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

Accepted Answer

Diagonals are congruent

Answer

Diagonals bisect each other

Answer

Diagonals bisect opposite vertices

Answer

Diagonals are perpendicular to each other

Question 8

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

Accepted Answer

Diagonals are perpendicular

Answer

Diagonals are not equal

Answer

Diagonals bisect adjacent sides

Answer

Diagonals bisect consecutive vertices

Question 9

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

Accepted Answer

Square

Answer

Kite

Answer

Rectangle

Answer

Rhombus

Question 10

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

Accepted Answer

Rectangle

Answer

Rhombus

Answer

Square

Answer

Trapezoid

Question 11

It is the comparison between two numbers or quantities.

Accepted Answer

Ratio

Answer

Congruence

Answer

Similarities

Answer

Proportion

Question 12

It is an equation that shows two ratio are equal.

Accepted Answer

Proportion

Answer

Similarities

Answer

Ratio

Answer

Congruence

Question 13

Which of the following ratio shows proportion?

Accepted Answer

4:6 and 10:15

Answer

4:6 and 8:12

Answer

9:12 and 8:12

Answer

9:12 and 10:15

Question 14

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

Accepted Answer

2 and 56

Answer

2 and 20

Answer

7 and 56

Answer

7 and 20

Question 15

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

Solve for x.

Accepted Answer

6

Answer

4

Answer

12

Answer

18

Question 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?

Accepted Answer

15, 25, and 40

Answer

5, 20, and 55

Answer

10, 25, and 45

Answer

15, 30, and 35

Question 17

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

Accepted Answer

$$36°:60°:84°$$

Answer

$$29°:45°:106°$$

Answer

$$40°:60°:80°$$

Answer

$$15°:45°:120°$$

Question 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?

Accepted Answer

20

Answer

10

Answer

30

Answer

40

Question 19

Refer to the given figure.

TUVW is a quadrilateral.

What is the value of x?

Accepted Answer

2

Answer

4

Answer

6

Answer

8

Question 20

Refer to the given figure.

TUVW is a quadrilateral.

What is the measure of $$\angle W$$ ?

Accepted Answer

$$87\degree$$

Answer

$$77\degree$$

Answer

$$97\degree$$

Answer

$$107\degree$$

Question 21

Refer to the given figure.

TUVW is a quadrilateral.

What is the measure of $$\angle V$$ ?

Accepted Answer

$$95\degree$$

Answer

$$75\degree$$

Answer

$$85\degree$$

Answer

$$105\degree$$

Question 22

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

Accepted Answer

2 pairs of CONSECUTIVE congruent sides.

Answer

2 pairs of OPPOSITE congruent sides.

Answer

4 congruent sides.

Answer

congruent diagonals.

Question 23

Kite LMNO is shown.
Solve for x.

Accepted Answer

58

Answer

32

Answer

148

Answer

90

Question 24

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

Accepted Answer

Consecutive angles are complementary

Answer

Legs are congruent.

Answer

Base angles are congruent

Answer

Diagonals are congruent

Question 25

Refer to the given figure.

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

The legs of the given trapezoid are:

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 26

Refer to the given figure.

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

The base of the given trapezoid are:

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 27

Refer to the given figure.

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

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

Accepted Answer

15

Answer

10

Answer

20

Answer

25

Question 28

Given Isosceles Trapezoid ABCD.

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

$$If\ m∠A=115°,\ what\ is\ m∠B?$$

Accepted Answer

$$115\degree$$

Answer

$$35\degree$$

Answer

$$75\degree$$

Answer

$$135\degree$$

Question 29

In Triangle $$\Delta ABC$$ ,

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

$$\overline{BM}\cong$$ ____

Accepted Answer

$$\overline{MA}$$

Answer

$$\overline{MN}$$

Answer

$$\overline{BC}$$

Answer

$$\overline{CN}$$

Question 30

In Triangle $$\Delta ABC$$ ,

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

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

Accepted Answer

$$\overline{MN}$$

Answer

$$\overline{BC}$$

Answer

$$\overline{MA}$$

Answer

$$\overline{CN}$$

Question 31

In Triangle $$\Delta ABC$$ ,

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

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

Accepted Answer

$$\overline{NC}$$

Answer

$$\overline{MB}$$

Answer

$$\overline{AM}$$

Answer

$$\overline{MN}$$

Question 32

In Triangle $$\Delta ABC$$ ,

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

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

Accepted Answer

18

Answer

9

Answer

24

Answer

36

Question 33

In Triangle $$\Delta ABC$$ ,

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

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

Accepted Answer

10

Answer

4

Answer

5

Answer

8

Question 34

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?

Accepted Answer

Basic proportional Theorem

Answer

Midline Theorem

Answer

Theorem on Triangle

Answer

Theorem on Parallelogram

Question 35

Solve for y:

Accepted Answer

36

Answer

18

Answer

7.5

Answer

20

Question 36

Solve for x:

Accepted Answer

20

Answer

2

Answer

10

Answer

18

Question 37

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

Accepted Answer

Scale Factor

Answer

Similarity Ratio

Answer

Proportion

Answer

Ratio

Question 38

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

Accepted Answer

Similarity Ratio

Answer

Ratio

Answer

Proportion

Answer

Scale Factor

Question 39

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.

Accepted Answer

$$30°-60°-90°$$ TriangleTheorem

Answer

$$45°-45°-90°$$ TriangleTheorem

Answer

Basic Proportional Theorem

Answer

Midline Theorem

Question 40

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

Accepted Answer

$$45°-45°-90°$$ TriangleTheorem

Answer

$$30°-60°-90°$$ TriangleTheorem

Answer

Right Triangle Similarity Theorem

Answer

AA Similarity Theorem

Question 41

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

Accepted Answer

AA Similarity Theorem

Answer

$$45°-45°-90°$$ TriangleTheorem

Answer

Geometric Means Theorem

Answer

SAS Similarity Theorem

Question 42

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.

Accepted Answer

SAS Similarity Theorem

Answer

AA Similarity Theorem

Answer

$$45°-45°-90°$$ TriangleTheorem

Answer

SSS Similarity Theorem

Question 43

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

Accepted Answer

SSS Similarity Theorem

Answer

AA Similarity Theorem

Answer

ASA Similarity Theorem

Answer

SAS Similarity Theorem

Question 44

Which of the following pair of triangles is not similar?

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 45

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

Solve for h:

Accepted Answer

$$6\ \sqrt[]{3}$$

Answer

$$15\ \sqrt[]{3}$$

Answer

$$12\ \sqrt[]{3}$$

Answer

$$9\ \sqrt[]{3}$$

Question 46

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

Solve for x:

Accepted Answer

6

Answer

12

Answer

18

Answer

24

Question 47

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

Solve for y:

Accepted Answer

18

Answer

3

Answer

9

Answer

27

Question 48

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

Solve for b:

Accepted Answer

$$12\ \sqrt[]{3}$$

Answer

$$6\ \sqrt[]{3}$$

Answer

$$9\ \sqrt[]{3}$$

Answer

$$15\ \sqrt[]{3}$$

MATH9 EXAM

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