Question

Construct a rhombus ABCD with side 4.5 cm and angle ABC 120 degrees. Draw lines of symmetry.

Answer 1

To construct the rhombus, draw a line segment for one side and create arcs at each endpoint to find the remaining vertices. To find the lines of symmetry, draw lines through the midpoints of opposite sides.

Step-by-step explanation:

To construct a rhombus ABCD with side 4.5 cm and angle ABC 120 degrees, follow these steps:

1. Draw a line segment BC of length 4.5 cm.
2. At point B, construct an arc with radius 4.5 cm.
3. At point C, construct another arc with radius 4.5 cm.
4. The intersection of the two arcs will be point A.
5. Connect points A, B, C, and D to form the rhombus ABCD.
6. To find the lines of symmetry, draw a line through the midpoint of side AB and the midpoint of side CD. This will be one line of symmetry.
7. Draw another line through the midpoint of side AD and the midpoint of side BC. This will be the second line of symmetry.