Survey

* Your assessment is very important for improving the work of artificial intelligence, which forms the content of this project

Document related concepts

History of trigonometry wikipedia, lookup

Integer triangle wikipedia, lookup

Trigonometric functions wikipedia, lookup

Euler angles wikipedia, lookup

Line (geometry) wikipedia, lookup

History of geometry wikipedia, lookup

Pythagorean theorem wikipedia, lookup

Euclidean geometry wikipedia, lookup

Transcript
```Name _______________________________________ Date __________________ Class __________________
6.4 Practice
Properties of Special Parallelograms
Match each figure with the letter of one of the vocabulary terms. Use each term once.
A. rectangle
1.
B. rhombus
2.
B
C. square
3.
C
A
Fill in the blanks to complete each theorem.
4. If a parallelogram is a rhombus, then its diagonals are perpendicular.
5. If a parallelogram is a rectangle, then its diagonals are congruent.
6. If a quadrilateral is a rectangle, then it is a parallelogram.
7. If a parallelogram is a rhombus, then each diagonal bisects
a pair of opposite angles.
8. If a quadrilateral is a rhombus, then it is a parallelogram.
The part of a ruler shown is a rectangle
1
with AB  3 inches and BD  3 inches.
4
Find each length.
9. DC  3
10. AC  3 ¼
11. CDFG is a rhombus. Find its perimeter.
12. ABCD is a rhombus. Find the value of a.
a = 8.5
a=5
P = 34
13. Show that the diagonals of square EFGH are congruent perpendicular bisectors of each other.
EG = 5√2 and FH = 5√2, so the diagonals are congruent
Slope of EG = 1/7 , slope of FH = -7, so the diagonals have
opposite inverse slopes, which means they are perpendicular.
midpoint of EG: (- ½ , - ½ ), midpoint of FH: (- ½, - ½ ), the
diagonals have the same midpoint which means they bisect each
other.
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
Holt McDougal Geometry
Name _______________________________________ Date __________________ Class __________________
This graphic organizer shows that each inside shape contains all the properties of
the boxes surrounding it. For example, the shape with “squares” is inside the other
shapes. Thus, a square “contains” all the properties of rectangles, rhombuses, parallelograms,
polygon with 4 sides.
A parallelogram is a
pairs of parallel sides. It
has other properties.
A rectangle is a
parallelogram with 4 right
angles. It has other
properties and “contains”
the properties of a
parallelogram.
A rhombus is a
parallelogram with 4
congruent sides. It has
other properties and
“contains” the properties
of a parallelogram.
A square “contains” properties of a
rhombus, a rectangle, a
Use the graphic organizer above to answer Exercises 1–8.
1. Is a triangle a quadrilateral? No
____________________
2. Is a square a rectangle? Yes
____________________
3. Is a rhombus always a parallelogram?
4. Is a rectangle always a rhombus?
Yes
____________________
No
5. Is a quadrilateral always a parallelogram?
6. What do all quadrilaterals have in common?
____________________
No
____________________
4 sides
7. What would you have to change in a rhombus to make it a square?
Make the angles right angles
8. What would you have to change in a rectangle to make it a square?
Make all 4 sides congruent
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
Holt McDougal Geometry
```
Related documents