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GRADE 9 SUMMATIVE TEST

Quiz by Dawis NHS

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40 questions
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  • Q1

    What condition would confirm that the given quadrilateral is a parallelogram?

    Question Image

    Opposite sides are parallel and congruent. 

    Diagonals bisect each other. 

    Diagonals divide the parallelogram into two congruent triangles.

    Opposite angles are congruent. 

    30s
  • Q2

    A gardener is designing a rectangular flower bed and wants to add a fence around it. The fence must form a parallelogram. The gardener measured the two opposite sides to be equal. What additional property must the fence satisfy to ensure it forms a parallelogram?

    The diagonals must bisect each other.

    The diagonals must be perpendicular. 

    All sides must be of equal length. 

    Opposite sides must be parallel. 

    30s
  • Q3

    The following statements are properties of a square EXCEPT

    The diagonals of a square bisect each other. 

    The opposite sides of a square are parallel. 

    The opposite angles of a square are complementary. 

    The consecutive angles of a square are supplementary.

    30s
  • Q4

    Using the figure below, which angle is congruent to ∠CFE?

    Question Image

    ∠FDE

    ∠EDF

    ∠FCD

    ∠EDC

    30s
  • Q5

    If sides AB and DC of quadrilateral ABCD are parallel, which additional information would be sufficient to prove that ABCD is a parallelogram?

    AB=AC

    AC=BD

    AD=DC

    AB=DC

    30s
  • Q6

    Theorem on Rhombus: The diagonals of the rhombus ABXY are perpendicular. What is the measure of ∠1?

    Question Image

    180

    cannot be determined.

    90

    45

    30s
  • Q7

    If the vertices of a triangle are A, B, and C, and D and E are the midpoints of AB and AC, what is true about DE?

    DE bisects BC

    DE is perpendicular to BC

    DE is parallel to BC and equal to BC

    DE is parallel to BC and half the length of BC.

    30s
  • Q8

    How can we calculate the length of the midline AE in ∆CRS?

    Question Image

    By finding the average of the lengths of the two sides CR and RS. 

    By subtracting the length of the base CS from the sum of the other two sides, CR and RS.

    By measuring the length of the base CS and dividing it by two. 

    By multiplying the base length CS by 2. 

    30s
  • Q9

    Given Isosceles Trapezoid ABCD, with median EF. Which of the following reasons supports the statement that ∠DAB ≅ ∠CBA?

    Question Image

    Base angles of an isosceles trapezoid are congruent.

    Consecutive angles of an isosceles trapezoid are supplementary.

    Vertical angles of an isosceles trapezoid are congruent.

    Opposite angles of an isosceles trapezoid are congruent.

    30s
  • Q10

    How long is the other base if the median is 10 and the other base is 12 cm?

    Question Image

    12 cm

    10 cm

    8 cm

    22 cm

    30s
  • Q11

    A 48-meter fence surrounds a rectangular landscape. One side of the landscape is 2 meters longer than the other. What is the perimeter of the landscape?

    8 m

    56 m

    24 m

    48 m

    30s
  • Q12

    A 48-meter fence surrounds a rectangular landscape. One side of the landscape is 2 meters longer than the other. How long is the longer side of the landscape?

    12 m

    10 m

    13 m

    15 m

    30s
  • Q13

    A 48-meter fence surrounds a rectangular landscape. One side of the landscape is 2 meters longer than the other. How many square meters is the area of the rectangular landscape?

    121

    169

    143

    144

    30s
  • Q14

    A 48-meter fence surrounds a rectangular landscape. One side of the landscape is 2 meters longer than the other. The architect decided to extend the landscape to double the area. Which of the following is a possible dimension of the landscape?

    22 meters by 26 meters

    32 meters by 42 meters

    16 meters by 24 meters

    6 meters by 8 meters

    30s
  • Q15

    What is an equation stating that two ratios are equal?

    Congruence

    Similarity

    Proportion

    Ratio

    30s

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