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FOURTH QUARTERLY ASSESSMENT IN MATHEMATICS 8

Quiz by Lucena Santos

Grade 8
Mathematics
Philippines Curriculum: Grades K-10 (MELC)

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50 questions
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  • Q1

    The measure of an exterior angle of a triangle is always ___.

    less than its adjacent interior angle    

    less than either remote interior angle

    greater than either remote interior angle

    greater than its adjacent interior angle

    300s
    M8GE-IVa-1
  • Q2

    Which of the ff. is not an inequality theorem for one triangle?

    Hinge Theorem       

    Triangle Inequality Theorem1 (Aa\ \rightarrow\ Ss

    Angle Inequality Theorem (s + s2  >  s3) 

    Triangle Inequality Theorem 1 (Ss\ \rightarrow\ Aa )

    300s
    M8GE-IVa-1
  • Q3

    Which of the ff.  statement/s is/are true?

    If in \Delta ABC , a > b, then \angle A\ <\ \angle B

    If in \Delta ABC ,a > b, then \angle A\ \ne\ \angle B

    If in \Delta ABC , a > b, then  \angle A\ >\ \angle B

    If in \Delta ABC , a > b, then \angle A\ =\ \angle B

    300s
    M8GE-IVa-1
  • Q4

    What is an exterior  angle theorem?

    The exterior angle formed by extending the side of a triangle plus its adjacent angles equals 90°

    The exterior angle formed by extending the side of a triangle equals the measure of its adjacent angle.

    The measure of the angle of a triangle equals 180 °.

    The exterior angle formed by extending the side of a triangle equals the sum of its non-adjacent angles.

    300s
    M8GE-IVa-1
  • Q5

    Given the lengths of the sides of a triangle. Identify the largest angle. : AB= 15, BC = 8 and AC = 12.

    \angle D

    \angle B

    \angle A

    \angle C

    300s
    M8GE-IVb-1
  • Q6

    ​Given the angles of a triangle. Identify the shortest side. ΔABC\Delta ABC​ :mC = 57m\angle C\ =\ 57​ ,  mA = 20m\angle A\ =\ 20​and mB = 103m\angle B\ =\ 103​.

    ​AC

    ​BC

    ​AB

    ​AD

    300s
    M8GE-IVb-1
  • Q7

    In the given figure, list the angles that measures from greatest to least.

    Question Image

    \angle Q\ ,\ \angle P\ ,\ \angle R

    \angle Q\ ,\ \angle R\ ,\ \angle P

    \angle R\ ,\ \angle P\ ,\ \angle Q

    \angle P\ ,\ \angle Q\ ,\ \angle R

    300s
    M8GE-IVb-1
  • Q8

    Which of these measures cannot be sides of a triangle?

    7 cm, 8 cm, 9 cm    

    7 cm, 7 cm, 9 cm

    6 cm, 6 cm, 12 cm

    8 cm, 9 cm, 12 cm

    300s
    M8GE-IVb-1
  • Q9

    ​Choose the appropriate reason to each given statement. 

    ​Given: HO \cong​ EP , OHP > EPH\angle OHP\ >\ \angle EPH​ 

    ​ Prove: OP > EH

    Question Image

    ​Converse of the Hinge Theorem

    ​RPC

    ​Hinge Theorem

    ​Given

    300s
    M8GE-IVc-1
  • Q10

    ​Choose the appropriate reason to each given statement.

    ​Given: HO \cong​  EP,   OHP > EPH\angle OHP\ >\ \angle EPH

    ​ Prove:   OP > EH

    Question Image

    ​Converse of Hinge Theorem

    ​Given

    ​Hinge Theorem

    ​RPC

    300s
    M8GE-IVc-1
  • Q11

    ​Choose the appropriate reason to each given statement.

    ​Given: HO  \cong​ EP,    OHP > EPH\angle OHP\ >\ \angle EPH

    ​ Prove: OP > EH

    Question Image

    ​Hinge Theorem

    ​RPC

    ​Converse of Hinge Theorem

    ​Given

    300s
    M8GE-IVc-1
  • Q12

    ​Choose the appropriate reason to each given statement.

    ​Given: HO  \cong​  EP,  OHP > EPH\angle OHP\ >\ \angle EPH​  

    ​ Prove: OP > EH

    Question Image

    ​Given

    ​Hinge Theorem

    ​RPC

    ​Converse of Hinge Theorem

    300s
    M8GE-IVc-1
  • Q13

    ​In the figure  l1  l2_{l_{1\ }\parallel}\ _{l_2}​ and t is a  transversal. Which of the ff. are corresponding angles?

    Question Image

    4 and 5 , 3 and 6\angle4\ and\ \angle5\ ,\ \angle3\ and\ \angle6

    1 and 7 , 2 and 8\angle1\ and\ \angle7\ ,\ \angle2\ and\ \angle8

    2 and 6 , 1 and 5\angle2\ and\ \angle6\ ,\ \angle1\ and\ \angle5

    4 and 6 , 3 and 5\angle4\ and\ \angle6\ ,\ \angle3\ and\ \angle5

    300s
    M8GE-IVd-1
  • Q14

    ​Using the given figure, if m1 = 85m\angle1\ =\ 85​ ,what is the measure of 5\angle5​?

    Question Image

    ​275

    ​85

    ​95

    ​5

    300s
    M8GE-IVd-1
  • Q15

    ​Using the given figure, which of the ff. is true about the measures of 4 and 6\angle4\ and\ \angle6​?

    Question Image

    m4 < m6m\angle4\ <\ m\angle6

    m4 = m6m\angle4\ =\ m\angle6

    m4 + m6 = 180m\angle4\ +\ m\angle6\ =\ 180

    m4  > m6m\angle4\ \ >\ m\angle6

    300s
    M8GE-IVd-1

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