Geometry of 2D Shapes

Transcription

1 Name: Geometry of 2D Shapes Answer these questions in your class workbook: 1. Give the definitions of each of the following shapes and draw an example of each one: a) equilateral triangle b) isosceles triangle c) scalene triangle d) right-angled triangle e) parallel f) perpendicular 2. What makes each of these quadrilaterals special? a) square b) kite c) parallelogram d) rectangle e) rhombus f) trapezium 3. Write the name for each of these shapes in your class workbook: Grade 7 Mathematics Term 1: Space and Shape - Geometry of 2D shapes GRADE 7

2 Geometry of 2D Shapes (2) GRADE 7 5. Label this circle with the correct names from the box given below: radius circumference diameter chord segment sector centre Radius circumference diameter chord Segment sector centre Grade 7 Mathematics Term 1: Space and Shape - Geometry of 2D shapes 6. What do these words mean? a) Similarity b) Congruency 7. Match the columns: Which shape in column A is similar to the shape in column B? A. B

3 Name: Geometry of 2D Shapes (3) 8. Look at the pairs of shapes: Say if the pairs are similar, congruent or neither. Grade 7 Mathematics Term 1: Space and Shape - Geometry of 2D shapes GRADE 7 i) Triangle A with angles: 90 ; 65 and 25 Triangle B with angles: 65 ; 90 and 25 j) A rhombus with one side equal to 50mm, 2 angles equal to 45 and two angles equal to 135 AND a parallelogram with all four sides equal to 50mm, with an angle equal to 135 and an angle equal to Given that the following pairs of shapes are similar, work out what the missing angles are: A B

4 Geometry of 2D Shapes (4) 10. Given that the following pairs of shapes are congruent, work out what the missing sides are: 11. State wether the following statements (sentences are true or false). If the sentence is false, change it to make the sentence true. a) All squares are rectangles. b) All rhombuses are parallelograms. c) All trapeziums are parallelograms. d) All kites are rhombuses. e) All rectangles are squares. f) All kites are quadrilaterals. g) All quadrilaterals are trapeziums. h) All rhombuses are squares. i) All parallelograms are rectangles. j) A scalene triangle is a triangle with three equal sides. GRADE 7 Grade 7 Mathematics Term 1: Space and Shape - Geometry of 2D shapes

5 Name: Geometry of 2D Shapes: Answer Sheet (1) Answer these questions in your workbook: 1. Give the definitions of each of the following shapes and draw an example of each one: a) equilateral triangle - a triangle with three equal sides b) isosceles triangle - a triangle with two sides that are equal c) scalene triangle - a triangle with no sides equal to each other Grade 7 Mathematics Term 1: Space and Shape - Geometry of 2D shapes GRADE 7 d) right-angled triangle - a triangle that has one angle equal to 90 e) parallel - two lines that will always be the same distance from each other and never touch each other f) perpendicular - two lines that make a right angle between them

6 Radius circumference Geometry of 2D Shapes: Answer Sheet (2) 2. What makes each of these quadrilaterals special? a) square - all 4 sides are equal and all 4 angles are equal to each other and 90 - both pairs opposite sides parallel b) kite - adjacent sides are equal to each other c) parallelogram - both pairs of opposite sides are parallel to each other. d) rectangle - both pairs opposite sides are equal and parallel - all angles are 90 e) rhombus - all four sides are equal - both pairs opposite sides are equal and parallel f) trapezium - only one pair of opposite sides are parallel 3. Write the name for each of these shapes in your class workbook: a) square b) rhombus c) equilateral triangle d) trapezium e) rectangle f) kite g) scalene triangle h) parallelogram i) right-angled triangle j) isosceles triangle k) trapezium l) parallelogram m) rhombus n) kite o) scalene triangle p) rectangle q) square r) equilateral triangle s) isosceles triangle t) right-angled triangle u) kite GRADE 7 Grade 7 Mathematics Term 1: Space and Shape - Geometry of 2D shapes 4. Copy the table below into your workbook. Tick the columns for the properties that belong to that shape. The first one has been done to help you:

7 Geometry of 2D Shapes: Answer Sheet (3) 5. Label this circle with the correct names from the box given below: 6. What do these words mean? a) Similarity - when the shape has the same angles but is not always the same size b) congruency - when the shapes are identical they have the same angles and the same size Grade 7 Mathematics Term 1: Space and Shape - Geometry of 2D shapes GRADE 7 7. Match the columns: Which shape in column A is similar to the shape in column B? a) 4 b) 1 c) 5 d) 3 e) 2 8. Look at the pairs of shapes: Say if the pairs are similar, congruent or neither. a) congruent b) neither c) similar d) neither e) congruent f) similar g) neither h) neither i) similar j) congruent 9. Given that the following pairs of shapes are similar, work out what the missing angles are: A = 60 B = 30 E = 115 F = 65 G = 56 H = 62

8 Geometry of 2D Shapes: Answer Sheet (4) GRADE Given that the following pairs of shapes are congruent, work out what the missing sides are: 19cm 30cm 12cm 11. Say if the following statements (sentences are true or false). If the sentence is false, change it to make the sentence true. a) All squares are rectangles. True b) All rhombuses are parallelograms. True c) All trapeziums are parallelograms. False All parallelograms are trapeziums d) All kites are rhombuses. False All kites are quadrilaterals e) All rectangles are squares. False All squares are rectangles f) All kites are quadrilaterals. True g) All quadrilaterals are trapeziums. False All trapeziums are quadrilaterals h) All rhombuses are squares. False All squares are rhombuses i) All parallelograms are rectangles. False All rectangles are parallelograms j) A scalene triangle is a triangle with three equal sides. 17cm 12mm 17cm 4mm False A scalene triangle is a triangle with no equal sides OR False An equilateral triangle is a triangle with three equal sides. Grade 7 Mathematics Term 1: Space and Shape - Geometry of 2D shapes