Mathematics 9 Summative Test PDF Exam Paper

**[SUMMATIVE TEST FOR THIRD QUARTER]{.smallcaps}** **[IN MATHEMATICS 9]{.smallcaps}** **[SY 2024-2025]{.smallcaps}** **[NAME: \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ DATE: \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_...

**[SUMMATIVE TEST FOR THIRD QUARTER]{.smallcaps}** **[IN MATHEMATICS 9]{.smallcaps}** **[SY 2024-2025]{.smallcaps}** **[NAME: \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ DATE: \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_]{.smallcaps}** **[GRADE & SECTION: \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ TEACHER: \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_]{.smallcaps}** **DIRECTION: Write the letter of the best answer before each number.** 1. What do you call a closed plane figure consisting of four sides? A. Hexagon C. Quadrilateral B. Pentagon D. Triangle 2. Which of the following quadrilaterals is NOT a parallelogram? A. Rectangle C. Square B. Rhombus D. Trapezoid 3. HOME is a parallelogram. Which of the figures below illustrates the statement correctly? 4. How do you describe any two opposite angles in a parallelogram? A. They are always congruent. C. They are complementary. B. They are both right angles. D. They are supplementary. 5. Which of these statements is NOT true about parallelograms? A. Parallelograms are always quadrilateral. B. Opposite sides of a parallelogram are always parallel. C. Diagonals of a parallelogram always intersect at a point. D. Opposite angles of a parallelogram are always supplementary. 6. Using the figure on the right, what is [*m*∠*SRQ*?]{.math.inline} A. 45° C. 135° B. 75° D. 145° 7. WXUV is a parallelogram, what is [*m*∠*WVU*?]{.math.inline} A. 80° C. 110° B. 100° D. 120° For numbers 8 -- 9, refer to the figure on the right. ABCD is a rhombus. Diagonals AC and BD intersect each other at E. 8. If AE = 12, what is AC? A. 6 C. 24 B. 12 D. 36 9. What is [*m*∠*AED*?]{.math.inline} A. 45° C. 100° B. 90° D. 120° 10. In parallelogram GRAM, \ 11. Use the figure on the right. If AB is twice of AD and AD is 10 cm, how long is AB? A. 5 cm C. 15 cm B. 10 cm D. 20 cm 12. Square MATH has a side that measures 27 cm. Which of the following is NOT true? A. [*MA*= *TH*]{.math.inline} C. [*MA* = *AT* = *MT*]{.math.inline} B. [*MH* = 27 *cm*]{.math.inline} D. [ \ A. 8 cm C. 17 cm B. 9 cm D. 18 cm 14. MATH is a rectangle with diagonals 𝑀𝑇 ̅̅̅̅̅ 𝑎𝑛𝑑 𝐴𝐻̅̅̅̅ meet at S. Which segment that 𝑇𝐻̅̅̅̅ is congruent? A. AT C. MA B. MH D. HA 15. Given: LOVE is rectangle with diagonals 𝐿𝑉 𝑎𝑛𝑑 𝑂E meet at S. Which statement is true? A. [*LO* ≅ *OV* ]{.math.inline} C. [*EV* ≅ *EL*]{.math.inline} B. [*OV* ≅ *VE* ]{.math.inline} D. [*LO* ≅ *VE*]{.math.inline} For numbers 16 -- 17, refer to rhombus GIFT. 16. If 𝑚∠𝐺𝐼𝐹 = 112°, then what is 𝑚∠𝐼𝐹𝑇? A. 68° C. 90° B. 78° D. 112° 17. If 𝑚∠3 = 33°, what is the 𝑚∠2? A. 33° C. 57° B. 47° D. 66° 18. Which of the statements is NOT true about a square? A. Diagonals bisect each other. C. Opposite sides are congruent. B. Consecutive angles are supplementary. D. Opposite sides are perpendicular. 19. Using the figure on the right, find the value of x. A. 4 C. 6 B. 5 D. 7 20. What is the value of x? A. 17 C. 34 B. 18 D. 68 21. Find the distance across the lake in the diagram. A. 6.5 mi C. 26 mi B. 13 mi D. 52 mi 22. A quadrilateral with exactly one pair of parallel sides. A. Kite C. Square B. Rhombus D. Trapezoid 23. A cross section of a water trough is in the shape of a trapezoid with bases measuring A. 2 meters c. 6 meters B. 4 meters D. 8 meters 24. PLAY is a kite. What is 𝑚∡𝐴? A. 85° C. 95° B. 90° D. 100° 25. RSTV is a kite. If RS = 8 and ST = 12. What is the perimeter of kite RSTV? A. 10 C. 30 B. 20 D. 40 26. Mr. Smith's garden has 4 equal sides. It has 2 pairs of parallel sides. There are no right angles. What is the most precise name for the shape of Mr. Smith's garden? A. **Rectangle C. Square** B. Rhombus D. Trapezoid  27. **R**STU is a square. The diagonals intersect at V. What is m∠SRV? A. 45° because diagonals of a square bisect the angles B. 90° because all angles of a square are 90° C. 90° because diagonals of a square are perpendicular D. 180° because consecutive angles are supplementary 28. The perimeter of the parallelogram ABCD is 30 units and the length of the side AB is 9 units, what is the length of BC? A. 6 units C. 18 units B. 12 units D. 30 units 29. **Refer to the figure at the right, what is the value of x if the perimeter is equal to 93cm?** A. **9 cm C. 36 cm** B. **18 cm D. 57 cm**  30. HATS is a kite with diagonals that intersect at C. m∠TSC = 32°, what is m∠SHC? A. 16° C. 58° B. 29° D. 116° 31. It is the equality of two ratios. A. Congruence C. Ratio B. Proportion D. Similarity 32. Which of the following properties of proportion demonstrates cross multiplication? A. [\$\\frac{w}{x} = \\ \\frac{y}{z}\\text{\\ then\\ }\\frac{x}{w} = \\ \\frac{z}{y}\$]{.math.inline} C. [\$\\frac{w}{x} = \\ \\frac{y}{z}\\ then\\ wz = \\ xy\$]{.math.inline} B. [\$\\frac{w}{x} = \\ \\frac{y}{z}\\text{\\ then\\ }\\frac{w}{y} = \\ \\frac{x}{z}\$]{.math.inline} D. [\$\\frac{w}{x} = \\ \\frac{y}{z}\\text{\\ then\\ }\\frac{w + \\ x}{x} = \\ \\frac{y + z}{z}\$]{.math.inline} 33. The ratio of number of boys to girls in a classroom is 6 to 5. If there are a total of 48 boys in the classroom, find the number of girls in the classroom. Which of the following best describes the problem? A. 6 : 5 = 48 : x C. **5** : 48 = x : 6 B. 6 : 5 = x : 48 D. **5** :X = 48 : 6 34. Which proportion leads to the equation uy = vx? A. [\$\\frac{u}{x} = \\ \\frac{v}{y}\$]{.math.inline} **C.** [\$\\frac{\\text{uy}}{v} = \\ \\frac{\\text{vx}}{y}\$]{.math.inline} B. [\$\\frac{u}{y} = \\ \\frac{v}{x}\$]{.math.inline} **D.** [\$\\frac{\\text{uy}}{y} = \\ \\frac{\\text{vx}}{x}\$]{.math.inline} 35. **What is the value of x in** [\$\\frac{4}{x} = \\ \\frac{1}{14}?\$]{.math.inline} A. **48 C. 69** B. **56 D. 78** 36. The length of the shadow of your 15 meter height is 24 meters at a certain time in the morning. How high is a tree in your backyard if the length of its shadow is 16 meters? A. 10 m C. 25.6 m B. 24 m D. 38.4 m 37. Which proportion is correct? A. [\$\\frac{\\text{OS}}{\\text{OT}} = \\ \\frac{\\text{OV}}{\\text{VW}}\$]{.math.inline} B. [\$\\frac{\\text{SV}}{\\text{TW}} = \\ \\frac{\\text{OS}}{\\text{ST}}\$]{.math.inline} C. [\$\\frac{\\text{ST}}{\\text{OT}} = \\ \\frac{\\text{VW}}{\\text{OW}}\$]{.math.inline} D. [\$\\frac{\\text{VW}}{\\text{OW}} = \\ \\frac{\\text{SV}}{\\text{TW}}\$]{.math.inline} Use the given figure to answer Numbers 38-- 39.  38. Which two triangles are congruent? 39. What similarity concept justifies your answer? A. Right Triangle Proportionality Theorem B. SAS Similarity Theorem C. SSS Similarity Theorem D. Triangle Proportionality Theorem 40. Given: [*ΔKLM* ∼ *ΔABC*]{.math.inline}. Find the value of x. A. 10 C. 20 B. 15 D. 30 41. In the figure, which triangle is congruent to ∆𝐵𝐼𝐺? A. ∆AFT C. ∆FAT B. ∆ATF D. ∆FTA 42. Given: 𝐹𝑅̅̅̅̅ ∥ ̅𝑀𝐸̅̅̅̅. What is true about the similar triangles FAR and MAE? A. 𝑚∠𝐹 = 𝑚∠𝐴 C. 𝑚∠𝑅 = 𝑚∠𝐸 B. 𝑚∠𝑀 = 𝑚∠𝐸 D. 𝑚∠𝐸 = 𝑚∠𝐹 43. Refer to ∆𝑆𝑃𝑌 and ∆𝐼𝑅𝐾. What are the proportional corresponding side lengths? A. [\$\\frac{\\text{PY}}{\\text{RK}} = \\frac{\\text{SY}}{\\text{IK}} = \\ \\frac{\\text{SP}}{\\text{IR}}\$]{.math.inline} B. [\$\\frac{\\text{SP}}{\\text{RK}} = \\frac{\\text{PY}}{\\text{IR}} = \\ \\frac{\\text{SY}}{\\text{IK}}\$]{.math.inline} C. [\$\\frac{\\text{SY}}{\\text{RK}} = \\frac{\\text{SP}}{\\text{IK}} = \\ \\frac{\\text{PY}}{\\text{IR}}\$]{.math.inline} D. [\$\\frac{\\text{PY}}{\\text{RK}} = \\frac{\\text{SY}}{\\text{IR}} = \\ \\frac{\\text{SP}}{\\text{IK}}\$]{.math.inline} 44. Given that KS = 16 and SY = 4, which proportion is **NOT** correct? A. [\$\\frac{\\text{KS}}{\\text{ES}} = \\frac{\\text{ES}}{\\text{SY}}\$]{.math.inline} C. [\$\\frac{\\text{KY}}{\\text{EY}} = \\frac{\\text{EY}}{\\text{SY}}\$]{.math.inline} B. [\$\\frac{\\text{KS}}{\\text{KE}} = \\frac{\\text{KE}}{\\text{KY}}\$]{.math.inline} D. [\$\\frac{\\text{KS}}{\\text{KE}} = \\frac{\\text{KE}}{\\text{EY}}\$]{.math.inline} 45. What is the length of the hypotenuse if the legs of a right triangle measure 10 cm and 24 cm? A. 14 cm C. 24 cm B. 18 cm D. 26 cm  46. ∆𝑬𝑻𝑮 is similar to \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_. A. ∆NTL C. ∆GTE B. ∆GTE D. ∆TEG 47. What is the longest side of a right triangle? A. Angle C. Hypotenuse B. Diagonal D. Leg 48. If one of the legs a right triangle is 5 and the longest side is 13, what is the length of the other leg? A. 10 C. 13 B. 12 D. 26 49. Using the figure on the right, what kind of angle is being described by 40°? A. Angle of Depression C. Complementary Angles B. Angle of Elevation D. Supplementary Angles  50. Given the figure on the right, which refers to the angle of elevation? A. [ \