All the sides of a quadrilateral measure 5 cm. What else must be true about this shape? Select all that apply. a. The diagonals are congruent. b. The diagonals are perpendicular. c. Consecutive angles are congruent. d. Opposite angles are congruent.

a.The diagonals are congruent.

d. Opposite angles are congruent.

Step-by-step explanation:

From the above question, we are told that:

All the sides of a quadrilateral measure 5 cm.

This means this quadrilateral is a square.

The properties of a square states that:

1) Opposite sides of a square are equal each other or congruent.

2) Opposite angles are equal each other or congruent

3) Consecutive angles of a square are supplementary angles which means that they add up to 180.

4) A square has two diagonals and they are congruent or equal to one another.

Therefore, the correct options are options a and d

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this