Question

Can you guys please help me on geometry

Answer 1

Ans 1) The true statements of rhombus are

b)has two pair of opposite congruent angles.

d) has 4 congruent sides.

Ans 2) and Ans 3) are below.

Explanation:

Property of Rhombus:

1. all the four sides are equal.
2. Opposite angles are equal.
3. opposite sides are parallel
4. Diagonals bisect each other at right angles.

Ans 2) Perpendicular bisector theorem states that if a point is on the perpendicular bisector of a segment, then it is equidistant from the segment's end points.

Ans 3) Diagonal EG is a line of symmetry for rhombus EFGH because

`EH \cong FG`

but not

`EH \cong EF`

Here corresponding sides are not equal.

and also corresponding angles are not equal.