kwizNET Subscribers, please login to turn off the Ads!
Email us to get an instant 20% discount on highly effective K-12 Math & English kwizNET Programs!

Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

Grade 7 - Mathematics
Parallelogram

Properties of a Parallelogram:

1. In a parallelogram any two opposite sides are equal.
2. In a parallelogram any two opposite angles are equal.
3. In a parallelogram the diagonals bisect each other.
4. In a parallelogram, each diagonal divides it into two congruent triangles.
5. In a parallelogram, any two adjacent angles have their sum equal to 180, that is, they are supplementary.


THEOREMS:
1. A quadrilateral is a parallelogram, then its opposite sides are congruent;

If ABCD is a parallelogram, then AB @ CD and BC @ AD
2. A quadrilateral is a parallelogram, then its opposite angles are congruent;

If ABCD is a parallelogram, then A @ C and B @ D.
3. A quadrilateral is a parallelogram, then its consecutive angles are supplementary;

x + y = 1800
4. A quadrilateral is a parallelogram, then its diagonals bisect each other.

5. One pair of opposite sides are equal and parallel;
Special types of parallelograms: rhombus, rectangle, square
A quadrilateral is a rhombus if and only if it has four congruent sides.
A quadrilateral is a rectangle if and only if it has four right angles.
A quadrilateral is a square if and only if it is a rhombus and rectangle.
A parallelogram is a rhombus, if and only if its diagonals are perpendicular.
A parallelogram is a rhombus, if and only if each diagonal bisects a pair of opposite angles.
A parallelogram is a rectangle, if and only if its diagonals are congruent.

Example:
In a parallelogram ABCD A = 60. Find the remaining angles.
Solution:
We know that the opposite angles of a parallelogram are equal. So A = C = 60.
Two adjacent angles of a parallelogram have their sum equal to 180.
Now both B and D are adjacent to A.
\ B = D = 180 - 60 = 120.
\ The remaining angles are 100, 80 and 100.


Directions: Draw a parallelogram and answer the following questions.
1) Parallelogram of lengths 5, 12, 5, x+4 cm. Find the value of x.
2) Parallelogram of angles 600, 1200,600, 2x0. Find the value of x.
3) Parallelogram with supplementary angles of 2x0, 4x0. Find the value of x.

Q 1: Find the value of x and y in the figure.

9, 9
15, 15
9, 15
15, 9

Q 2: In a parallelogram ABCD, angle A = 80 degrees. Find the remaining angles.
95, 85 and 95 degrees Respectively
70, 110 and 70 Respectively
110, 70 and 110 degrees Respectively
100, 80 and 100 degrees Respectively

Q 3: In a parallelogram ABCD, angle A = 70 degrees. Find the remaining angles.
100, 80 and 100 degrees Respectively
60, 120 and 60 degrees Respectively
110, 70 and 110 degrees Respectively
95, 85 and 95 degrees Respectively

Q 4: In a parallelogram ABCD, angle A = 65 degrees. Find the remaining angles.
60, 120 and 60 degrees Respectively
110, 70 and 110 degrees Respectively
115, 65 and 115 degrees Respectively
100, 80 and 100 degrees Respectively

Q 5: In a parallelogram ABCD, angle A = 110 degrees. Find the remaining angles.
70, 110 and 70 Respectively
100, 80 and 100 degrees Respectively
110, 70 and 110 degrees Respectively
60, 120 and 60 degrees Respectively

Q 6: Find the value of x in the figure.

30
50
45

Q 7: Find the value of x in the figure.

Answer:

Q 8: In a parallelogram ABCD, angle A = 120 degrees. Find the remaining angles.
100, 80 and 100 degrees Respectively
110, 70 and 110 degrees Respectively
95, 85 and 95 degrees Respectively
60, 120 and 60 degrees Respectively

Question 9: This question is available to subscribers only!

Question 10: This question is available to subscribers only!


Subscription to kwizNET Learning System offers the following benefits:

  • Unrestricted access to grade appropriate lessons, quizzes, & printable worksheets
  • Instant scoring of online quizzes
  • Progress tracking and award certificates to keep your student motivated
  • Unlimited practice with auto-generated 'WIZ MATH' quizzes
  • Child-friendly website with no advertisements
  • Choice of Math, English, Science, & Social Studies Curriculums
  • Excellent value for K-12 and ACT, SAT, & TOEFL Test Preparation
  • Get discount offers by sending an email to discounts@kwiznet.com

Quiz Timer