Geo Un5Wk2 - Squares & Rhombi Practice

Given: Quadrilateral ABCD is a rhombus.

If m∠ABD = 60, find m∠BDC

Given: Quadrilateral ABCD is a rhombus.

Find m∠CEB.

Answer explanation

Remember, the diagonals of a rhombus are perpendicular.

And, by definition, lines that are perpendicular form right angles!

Given: Quadrilateral ABCD is a rhombus.

If AE = 8, find AC.

Answer explanation

Remember, the diagonals of a rhombus bisect each other. That means they are cut in half.

Therefore the whole diagonal is twice as long as each part.

Given: Quadrilateral ABCD is a rhombus.

If AB = 26 and BD = 20, find AE

Answer explanation

For this one, you need to remember the Pythagorean theorem.

Why? Because it's a right triangle.

What's the difference between a square and a rhombus?

A square and a rhombus both have...

Mark all that apply

• All angles are congruent

• All sides are congruent

• Diagonals bisect each other

• Diagonals form perpendicular lines

• Diagonals are congruent to each other

Answer explanation

Note: only a square has diagonals that are both bisected AND congruent to each other.

Charles cuts a rhombus along both diagonals. He ends up with four congruent triangles. Classify these triangles as acute, obtuse, or right.

• acute

• obtuse

• right

• none of these

• all of these...it depends on what kind of rhombus he started with.

Given rhombus MNPQ

Find m∠M.

Given rhombus MNPQ

Find m∠Q.

Answer explanation

Remember: a rhombus is just a parallelogram. Therefore, it's consecutive angles are supplementary!

So, just add the two angles together and have it equal 180!

How confident do you feel about knowing how to solve questions involving:

rectangles, rhombi and squares?

• Great! This is a piece of cake, Captain

• I'm ok about most of it, Captain

• I think I got some of it, but others are a blur.

  I'll try my best, Captain

• Sorry... I'm completely lost.

  I'm not even sure what a square is anymore!

• Other:

  None of these reflect how I feel.

  (If that is so, and you want to tell me, email me!)