The document is a mathematics exam for the 2023-2024 school year, consisting of multiple-choice questions on various topics including quadrilaterals, trapezoids, ratios, and properties of triangles. Students are required to read and analyze each item carefully and choose the correct answers. There are 40 questions in total, covering geometry and measurement principles.

1. MATHEMATICS - 9
QUARTERLY EXAM
S.Y. 2023-2024

2. CONTINUE
Directions: Read and analyze
each item carefully. Choose the
correct answer. Write it on the
blank provided for before each
number.

3. ______ 1. Which of the following
quadrilaterals has diagonals that do
not bisect each other?
A. Square B. Rhombus
C. Rectangle D. Trapezoid

4. ______2.Thediagonalsofanisosceles
trapezoidarerepresentedby4x–47and
2x+31.Whatisthevalueofx?
A. 38 B. 39
C. 47 D. 49

5. ______3.Ifaquadrilateralisakite,thenits
diagonalsare_______________ .
A. Congruent C. Perpendicular
B. Proportional D. Parallel

6. ______4.Atrapezoidisaparallelogram.
A.True B. False
C. Maybe D. Sometimes
_______5.Twoconsecutiveanglesofa
parallelogramaresupplementary.
A. Always true B. Sometimes true
C. Never true D. Sometimes false

7. ______ 6. Which of the following properties of a
quadrilateral is NOT TRUE?
A. A rectangle is a parallelogram.
B. A quadrilateral is a parallelogram if all sides are
parallel.
C. Diagonals of quadrilaterals bisect each other
.
D. A quadrilateral is a parallelogram if both pairs of
opposite angles are congruent.

8. ______ 7. Two consecutive angles of a
parallelogram have measures of (2x +
7)° and (3x - 2)°. What is the measure
of the larger angle?
A.103° B. 73°
C. 133° D. 107°

9. ______ 8. What is the measure of 2
∠
in rhombus TRUE?
A.80° B.90°
C.100° D.110°
80°
1 2
3
R U
T E

10. ______ 9. What is the perimeter of a kite if the sides
are 15 centimeters and 16 centimeters?
A. 60 cm B. 61 cm
C. 62 cm D. 63 cm

11. ______ 10. CORN is a kite. If the diagonal
NO = 10, what is NY?
A. 5 B. 10
C. 15 D. 20

12. ______ 11. Which of the following statements is
TRUE?
A. Akitehastwoparallelsides.
B. Akitehasfourcongruentangles
C. Thediagonalsofakiteareperpendicular
.
D. Thediagonalsofakitearecongruent.

13. ______ 12. What is the measure of the mid-segment
of a trapezoid if the measures of the bases are 20
and 28, respectively?
A. 21 B. 22
C. 23 D. 24

14. ______ 13. If the legs of a trapezoid are
congruent, then the trapezoid is an
___________trapezoid.
A. equilateral B. Isosceles
C. irregular D. absolute

15. ______ 14. Which of the following ratios are
equivalent?
A. 3:5and15:20 B.4:3and30:24
C.2:7and14:49 D.6:5and36:42

16. ______ 15. The length and width of a
rectangular garden are in the ratio of 6:3.
If the length is 24 feet, what is the width?
A. 6 feet B. 12 feet
C. 18 feet D. 24 feet

17. For numbers 16-17, refer to the information below.
In a class, the ratio of the boys to the girls is 5:3. There are
15 girls in the class.
A. 5:3=15:25 B.5:3=25:15
C.5:3=30:15 D.5:3=40:15
______ 16. Which of the following equation represents
the ratio of the number of boys to the number of girls
in the class?

18. For numbers 16-17, refer to the information below.
In a class, the ratio of the boys to the girls is 5:3. There are
15 girls in the class.
A. 10boys B. 15boys
C. 20boys D. 25boys
______ 17. How many boys are there in the class?

19. ______ 18. A rope that is 64 feet long is
divided into two segments with a ratio of 3
: 5. What is the length of the shorter
segment?
A. 20feet B.24feet
C.40feet D.44feet

20. For items 19-20, consider then figure below.
______ 19. Which of the following
corresponds to AG?
A.GT
B. SG
C. IT
D. AT

21. For items 19-20, consider then figure below.
______ 20. Which of the following is equal
to ?
B.
C. D.

22. ____ 21. If ABC ~ DEF, which of the
∆ ∆
following statements is FALSE?
C.

23. ______ 22. If ABCD ~ EFGH, then
□ □
which of the following is correct?

24. For Items 23-25, the figure below shows that PAST is
□
similar to ORAL. The sides of PAST are 12 centimeters,
□ □
16 centimeters, 20 centimeters, and 24 centimeters. The
shortest side of ORAL is 6 centimeters.
□
______ 23. What is the length of
the longest side of ORAL
□
A. 12 cm B. 15 cm
C. 18 cm D. 21 cm

25. For Items 23-25, the figure below shows that PAST is
□
similar to ORAL. The sides of PAST are 12 centimeters,
□ □
16 centimeters, 20 centimeters, and 24 centimeters. The
shortest side of ORAL is 6 centimeters.
□
______ 24. What is the length of
side AL?
A. 6 cm B. 8 cm
C. 10 cm D. 12 cm

26. For Items 23-25, the figure below shows that PAST is
□
similar to ORAL. The sides of PAST are 12 centimeters,
□ □
16 centimeters, 20 centimeters, and 24 centimeters. The
shortest side of ORAL is 6 centimeters.
□
______ 25. What is the ratio of
the perimeter of PAST to
□
ORAL?
A. 2 : 1 B. 1 : 3
C. 3 : 2 D. 2 : 3

27. ______ 26. Which of the following pairs of triangle is
similar?

28. ______ 27. Which of the following is the measure of
RBA?
∠
A.62° B. 118° C. 56° D. 112°

29. ______ 28. What should be the missing part so that
the given is correct?
A.x B. y C. x + y D. c

30. ______ 29. If b=15, y=9, and z=3, what should be the
value of c?
A.10 B. 8 C. 6 D. 5

31. ______ 30. What is the value of three times the
length of RK?
A. 18 B. 21 C. 24 D. 27

32. ______ 31. What is the value of TK minus twice TA?
A.6 B. 8 C. 9 D. 10

33. ______ 32. What is the absolute difference of TA and
KM?
A.6 B. 8 C. 9 D. 10

34. ______ 33. Which of the following group of
quadrilaterals have diagonal that are
perpendicular?
A. Rectangle, square
B. Rhombus, rectangle
C. Rhombus, square
D. Rectangle, rhombus, and square

35. ______ 34. What is the perimeter of a
kite if the sides are 13 centimeters
and 17 centimeters?
A.60 cm B. 50 cm
C. 40 cm D. 30 cm

36. ______ 35. The bases of a trapezoid
are the __________ sides.
A. parallel B. nonparallel
sides
C. equal D. perpendicular

37. ______ 36. What is the length of side MG?
A. 13 unitsB. 14 units
C. 15 units D. 16 units

38. ______ 37. What is the ratio of the perimeter of
MNG to the perimeter of CAT?
∆ ∆
A. 1 : 2 B. 2 : 1
C. 3 : 4 D. 4 : 3

39. ______ 38. In a parallelogram RSTW, diagonals
RT and SW are perpendicular bisectors of each
other. Parallelogram RSTW must be a:
I. Rectangle II. Rhombus III. Square
A.I B. II C. II and III D. I, II, and III

40. ______ 39. What condition will make
parallelogram WXYZ a rectangle?
A.WX YZ
≅
B.∠X is a right angle
C. WX YZ
∥
D. WX and YZ bisect each other

41. ______ 40. In NEAT, the diagonal ET
□
forms NET and ATE. What kind of
∆ ∆
triangles are formed?
A. Isosceles triangles
B.Equilateral triangles
C.scalene triangles
D. equiangular triangles

42. Don’t be afraid to make mistakes;
they are just the stepping-stones to success.
– Louis Zamperini ©
THE END