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### Grade 7 - Mathematics8.9 Square

 Properties of Square: All sides are equal. All angles are equal and 900 The diagonals are equal and bisect each other at right angles. Each diagonal divides the square into two congruent triangles. THEOREM: A quadrilateral is a square if and only if it is a rhombus and rectangle. Directions: Read the above review points carefully and answer the following questions: Illustrate each of the above review points by drawing different squares. Explain in your own words the different properties of squares with examples. Draw a square with sides 5 cm and check whether its diagonals are equal. Draw a quadrilateral with sides having same measure, one of its angles 90°. Measure its diagonals and angles. Identify which type of quadrilateral is it and give reasons for your answers. The diagonals of square ABCD intersect at K. Given that BK=1. Find the measures of the following: KA, KC, KD, AB, BC, CD, DA, mÐAKB, mÐBKC, mÐCKD
 Q 1: The diagonals of square ABCD intersect at K. Given that BK=1. The measure of KA is ___.Answer: Q 2: "The diagonals of a square are given by 6 cm and 5 cm."FalseTrue Q 3: "In a square all angles are equal to 90° ".FalseTrue Q 4: "A rhombus becomes a square when one of its angles is made 90° ".FalseTrue Q 5: Find the value of ÐE in the given figure.45°120°90° Q 6: If, one side of a square is given by 6 cm, then the adjacent side will be ________.12 cm16 cm6 cm Q 7: Find the value of side BE in the given figure, if AD is given by 17 cm.6 cm8.5 cm17 cm Q 8: "A rectangle becomes a square when all its sides are made equal."FalseTrue Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!