Thursday, 17 December 2015 Congruent Shapes Learning Objectives: ALL should understand what congruence is. MOST should systematically match lines and angles.

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Thursday, 17 December 2015 Congruent Shapes Learning Objectives: ALL should understand what congruence is. MOST should systematically match lines and angles to determine congruence. SOME will be able to see how congruence is related to reflection and rotation. When shapes are congruent:  corresponding sides are equal in length  corresponding angles are equal

What is congruence? When the sides and corresponding angles are the same. 2 Green with Red & Yellow with Purple

3 Here are the groups: Blue, Purple & Orange and Pink & Green Take care with this one… Match the congruent shapes together.

Are these two images congruent in this rotation? Are all the angles and lines the same amount and related in the same way to each other? 4

Are these two images congruent in this reflection? Are all the angles and lines the same amount and related in the same way to each other? 5

Are these two images congruent in this enlargement? Are all the angles and lines the same amount and related in the same way to each other? 6

7 Put these statements into the categories ALWAYS TRUE, SOMETIMES TRUE & TOTALLY FALSE then record them in your book with an example of each. a)Cut-out congruentCut-out congruent shapes fit exactly on top of one another. e) The shapes which have the same area are congruent. d) If two shapes have the same perimeter then they are congruent. b) If the angles of two shapes are the same then they are congruent. c) The perimeters of two congruent shapes are the same. Finishing Exercise Always True Sometimes True Totally False f) The lengths of two corresponding sides are different.

8 b) If the angles of two shapes are the same then they are congruent. c) The perimeters of two congruent shapes are the same. Put comments and diagrams to explain about your reasons for each of the statements Finishing Discussion (1 of 2) a)Cut-out congruentCut-out congruent shapes fit exactly on top of one another.

9 d) If two shapes have the same perimeter then they are congruent. e) The shapes which have the same area are congruent. f) The lengths of two corresponding sides are different. Put comments and diagrams to explain about your reasons for each of the statements Finishing Discussion (2 of 2)

Information help The mouse symbol means an interactive pick and place activity. Click once on a object to pick up… …move it around… …then click again to place it. Practice with the objects below. (click to return) 10 Acknowledgements & thanks to Hans Werner Hofmann for the Drag & Drop Macro

11 When shapes are congruent:  corresponding sides are equal in length  corresponding angles are equal

12 When shapes are congruent:  corresponding sides are equal in length  corresponding angles are equal

13 When shapes are congruent:  corresponding sides are equal in length  corresponding angles are equal

14 When shapes are congruent:  corresponding sides are equal in length  corresponding angles are equal