Rhombus - measurement(B)

Author:Bradford L Dalton, matthew.hardie

Why was the math teacher late to work? She took the ..........

This investigation is about discovering the relationships sides, angles, and the diagonals of the rhombus. Try to discover which lengths are congruent, parallel, perpendicular, or bisected. Discover which angles are congruent, complementary, supplementary, or bisected. Try to generalize your findings by using descriptions like opposite or consecutive with what and how many that applies to. For example a generalization might be: “The diagonals of a rhombus__________ at right angles(are perpendicular)” On the polygon put markings of congruency, right angles, or parallel for the sides or angles.

Rhombus - measurement

Answer the following questions and explain each using complete sentences

1. Are any of the sides parallel? What would you have to measure to check? Measure to see(think-- rise to run ratio), Which pairs are parallel?

2. Are any of the sides perpendicular? How can you make measurements to check? Which pairs?

3. Are any of the sides congruent? Which pairs are ?

4. Are any of the angles congruent? Which pairs?

5. Are any of the angles supplementary? Which pairs?

6. Are the diagonals congruent? Explain

7. Do the diagonals bisect each other? Explain

8. Do the diagonals bisect opposite angles? Explain

9. Are the diagonals perpendicular? Explain

Summary

What are the properties of a rhombus? Be specific.

Discern the differences

How is a rhombus different than a parallelogram, a rectangle, and a trapezoid?

Multiple choice , T/F

A rhombus has __________________

Select all that apply

A
All side non congruent
B
All sides congruent
C
Always have right angles in the corners
D
The diagonals are always congruent

Check my answer (3)

Squares are rhombi but rhombi are not necessarily squares

Select all that apply

A
True
B
False

Check my answer (3)

Choose all possible answers

For a figure to be a rhombus

Select all that apply

A
It must have all the properties of a parallelogram
B
It has opposite pairs of angles congruent
C
All side are congruent
D
diagonals intersect at right angles
E
They have one pair of non parallel sides

Check my answer (3)

Rhombus - measurement(B)

Why was the math teacher late to work? She took the ..........

Rhombus - measurement

Answer the following questions and explain each using complete sentences

Summary

Discern the differences

Multiple choice , T/F

Choose all possible answers

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