Math  /  Geometry

QuestionConstruct the following shapes using a ruler and protractor. a) b) c)

Studdy Solution

STEP 1

1. A ruler and protractor are available for construction.
2. The constructions are to be done on a flat surface, such as paper.
3. Precision is important, so measurements should be as accurate as possible.

STEP 2

1. Construct the square.
2. Construct the equilateral triangle.
3. Construct the rectangle.

STEP 3

Construct the square with each side measuring 6 cm.
1.1: Use the ruler to draw a line segment AB AB that is 6 cm long.
1.2: At point A A , use the protractor to measure a 90° angle and draw a line segment AC AC that is 6 cm long.
1.3: At point B B , use the protractor to measure a 90° angle and draw a line segment BD BD that is 6 cm long.
1.4: Connect points C C and D D to complete the square.

STEP 4

Construct the equilateral triangle with each side measuring 7 cm.
2.1: Use the ruler to draw a line segment EF EF that is 7 cm long.
2.2: At point E E , use the protractor to measure a 60° angle and draw a line segment.
2.3: At point F F , use the protractor to measure a 60° angle and draw a line segment.
2.4: Adjust the length of the lines from steps 2.2 and 2.3 so that they intersect at point G G , forming an equilateral triangle EFG EFG .

STEP 5

Construct the rectangle with one side measuring 4 cm and the other side measuring 9 cm.
3.1: Use the ruler to draw a line segment HI HI that is 4 cm long.
3.2: At point H H , use the protractor to measure a 90° angle and draw a line segment HJ HJ that is 9 cm long.
3.3: At point I I , use the protractor to measure a 90° angle and draw a line segment IK IK that is 9 cm long.
3.4: Connect points J J and K K to complete the rectangle.

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