Worksheets9B_Q3 Unit Test in Mathematics 9
Total questions: 40
Worksheet time: 28mins
1. If quadrilateral GAME is a parallelogram, which of the following pairs of sides are parallel?
side GE and side AM
side GA and side AM
side EM and side MA
side ME and side MA
2. Which of the following relationships is true if quadrilateral GAME is a parallelogram?
side GE ≅ side GA
side EM ≅ side AM
∠E ≅ ∠A
∠G ≅ ∠A
3. If quadrilateral GAME is a parallelogram, then why does ∠GEM measure 63° when ∠AME measures 117°?
The opposite angles of a parallelogram are congruent.
Any two adjacent angles of a parallelogram are congruent.
The opposite angles of a parallelogram are supplementary.
Any two adjacent angles of a parallelogram are supplementary.
4. Which of the following statements must be true for the given quadrilateral to be a parallelogram?
Adjacent sides are parallel.
Opposite sides are congruent.
Opposite angles are supplementary.
Any two adjacent angles are complementary.
5. In parallelogram GAME, side GE measures 125 cm. Which side has the same measurement?
side GA
side EM
side AM
side ME
6. If the measurement of ∠G in parallelogram GAME is 104.32°,
what is the measurement of ∠M in degrees?
(Just write the number Example 35.68)
(a)
7. Given that quadrilateral GAME is a parallelogram,
what is its perimeter if side GA = 10 in and side GE = 7.5 in?
(Just write the exact number. Example: 53)
(a)
8. Which of the following statement is true
for all members of the parallelogram family tree?
Both diagonals are perpendicular.
All interior angles are right angles.
Each diagonal bisects its opposite angles.
The opposite sides are parallel and congruent.
9. Which of the following statements is true
about a rhombus?
A rhombus has four congruent angles
The diagonals of a rhombus are congruent.
A rhombus has congruent four right angles.
The diagonals of a rhombus are perpendicular
10. Which statement is true about a rectangle
and a square?
They have congruent diagonals.
They consist of four acute angles.
Both have perpendicular diagonals.
Each pair of their consecutive angles is congruent.
11. Which of the following statements is correct?
A square is a rectangle.
A rhombus is a square.
A rectangle is a rhombus.
A parallelogram is a rhombus.
12. Which street is the midline of the triangular neighborhood?
Limasawa Street
T. Claudio Street
M.A. Roxas Street
Jose Abad Santos Street
13. If you walked 250 meters along Jose Abad Santos St.,
using the midline segment theorem,
how long is M.A. Roxas St.?
(Just write the exact number. Example: 152)
(a)
14. Both T. Claudio St. and Limasawa St. are 200 m long.
If M.A. Roxas St. is 300 m long, how long is Jose Abad Santos St.?
(Just write the exact number. Example: 500)
(a)
15. If p = 5, what is the value of ∠E in degrees?
(Just write the exact number only. Example: 153)
(a)
16. If p = 5, what is the value of ∠G in degrees?
(Just write the exact number only. Example: 54)
(a)
17. Which has the correct representation
to solve for the length of side IU and side QU?
Anna’s Equation: 2y + 20 = 5yx – 10Bianca’s Equation: 8y + 2 = 2y + 20
Carla’s: Equation: 2y + 38 = 8y + 2
Diana’s Equation: 5y – 10 = 2y + 38
Anna
Bianca
Carla
Diana
18. If the value of y is 6,
what is the length of side IU and side QU?
(a)
19. Ericka decided to solve for side IS and side QS by herself.
She asked her teacher to check her solution.
She successfully solved for the value of y which is 10.
To solve for the length of side IS, she arrived with the solution below:IS = 2y + 20
= 2(10) + 20
= 12 + 20
= 32
Do you think her solution is correct? Why or why not?
No, she must multiply 2 and 10 first then add the product by 20.
No, she must add 10 and 20 first before multiplying the sum by 2.
Yes, since she used the multiplication property of equality properly.
Yes, since she applied the substitution property of equality properly.
20. If the midsegment line segemnt RG of the trapezoid-shaped truss measures 120 m, and the upper base side ID measures 100 m,
then what is the length of the other base?
(Just write the exact number. Example: 104)
(a)
21. Which of the following equations
establishes the proportionality between
A2 and A4 sizes?
420 : 594 = 297 : 210
420 : 594 = 210 : 297
594 : 420 = 210 : 297
594 : 210 = 297 : 420
22. What is the product of the means and extremes?
(a)
23. How are the sizes of A4 and A2 papers related?
A2 is half the size of A4.
A2 is thrice the size of A4.
A4 is double the size of A2.
A2 is four times the size of A4.
24. Christine is preparing a chocolate drink for her friends.
For one glass of chocolate drink, the recipe requires 100 ml of milk and 50 mg of chocolate powder.She wants to make 4 glasses of chocolate drink.
She bought a 350 ml box of milk and 200 mg of chocolate powder.Christine wonders if she has enough of each ingredient to make the drinks.
Recipe:
1 glass of chocolate drink = 100 ml of milk + 50 mg of chocolate powder
How much milk does Christine need to make 4 glasses of chocolate drink?
(Just write the exact number)
(a)
25. Christine is preparing a chocolate drink for her friends.
For one glass of chocolate drink, the recipe requires 100 ml of milk and 50 mg of chocolate powder.She wants to make 4 glasses of chocolate drink.
She bought a 350 ml box of milk and 200 mg of chocolate powder.Christine wonders if she has enough of each ingredient to make the drinks.
Recipe:
1 glass of chocolate drink = 100 ml of milk + 50 mg of chocolate powder
How much chocolate powder is needed for 4 glasses of chocolate drink?
(Just write the exact number)
(a)
26. If Christine only has 350 ml of milk, can she make 4 glasses of chocolate drink?
Yes, she has enough milk.
Yes, she can even make 5 cups.
No, she is 50 ml short.
No, she is 100 ml short.
27. In ∆XYZ, to which side is Limasawa St. of ∆XAB similar with?
side XZ
side XA
side XY
side ZY
28. Determine to which street of ∆XBA is side XY of ∆XZY similar with.
Limasawa Street
T. Claudio Street
Diego Silang Street
Biak-na-bato Street
29. Recognize the triangle to which ∆XYZ is similar with.
∆XBA
∆XAB
∆ABX
∆BXA
30. To which triangle is ∆YXZ is similar with?
∆AXB
∆XAB
∆ABX
∆BXA
31. How can you use the midsegment road for planning outdoor activities?
It acts as a shortcut for walking routes.
It provides a convenient central location for events.
It connects different parts of the neighborhood symmetrically.
32. Sarah is designing a miniature version of a community layout for a school project in AP.
The original community layout is a triangular lot with sides measuring 24 meters, 30 meters, and 36 meters.To create a model of the community layout, Sarah uses a smaller triangular illustration board with sides measuring 12 meters, 15 meters, and 18 meters.
What is the ratio of the corresponding sidesof the miniature version to the original community layout?
1 : 2
2 : 1
3 : 4
4 : 3
33. Sarah is designing a miniature version of a community layout for a school project in AP.
The original community layout is a triangular lot with sides measuring 24 meters, 30 meters, and 36 meters.To create a model of the community layout, Sarah uses a smaller triangular illustration board with sides measuring 12 meters, 15 meters, and 18 meters.
If the original community layout has a side of 36 meters,what is the corresponding side in the miniature version?
(Just write the exact number. Example: 81)
(a)
34. A group of grade 9 students is trying to measure the height of the flagpole without climbing it. They place a 2-meter stick vertically into the ground, and its shadow measures 1.5 meters. At the same time, the shadow of the flagpole is 12 meters.
What is the ratio of the height to the shadow for the stick?
2 : 1.5
1.5 : 2
2 : 1
1 : 2
35. Find the height of the tree.
(Just write the exact number. Example: 61)
(a)
36. If the height of the stick was 4 meters,
what would the length of its shadow be, assuming the same ratio?
(Just write the exact number. Example: 6)
(a)
37. If the shadow of the stick were 6 meters instead of 1.5 meters,
then how would its height change?
The height would be tripled.
The height would be doubled.
The height would remain 2 meters.
The height would increase by 6 meters.
38. To which triangle is ∆ACB similar with?
∆CDB
∆CBD
∆BDC
∆BCD
39. Solve for the length of side AB.
(a)
40. Andi was asked by her teacher to determine the side of ∆ACB that is similar with side CB of ∆CDB. Andi answered side DB. Is her answer correct? Why or why not?
Yes, since side DB corresponds with side CB.
Yes, since side DB and side CB are congruent to each other.
No, since side DB corresponds with side AB.
No, since side DB and side AB are congruent to each other.
