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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: "A rectangle becomes a square when all its sides are made equal."FalseTrue Q 2: The diagonals of square ABCD intersect at K. Given that BK=1. The measure of KA is ___.Answer: Q 3: Find the value of ÐE in the given figure.90°45°120° Q 4: "The diagonals of a square are given by 6 cm and 5 cm."TrueFalse Q 5: If, one side of a square is given by 6 cm, then the adjacent side will be ________.12 cm6 cm16 cm Q 6: If, in a square one angle is equal to 90°, then the opposite angle will be ________.45°90°60° Q 7: "A quadrilateral whose diagonals are given by 16 cm, 16 cm is a square".TrueNot necessarilyFalse Q 8: "A rhombus becomes a square when one of its angles is made 90° ".FalseTrue Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!