Hello from MrBillDoesMath!
Answer:
The third choice, 99
Discussion:
I'm not sure what that strange cutout in the parallelogram has to do with the problem but ..... the area of parallelogram is given by (base)(height). In our case, assuming the length ("height') ED = 11 and length AB ("base") = 5 + 4 = 9, the area = 11 * 9 = 99 square centimeter. This is the third choice.
Thank you,
MrB
Answer:
The correct options are 1, 2 and 4.
Step-by-step explanation:
The given triangle is an equilateral triangle. All the sides of an equilateral triangle are same. All interior angles are equal with measure 60 degree.
The distance from the center of an equilateral triangle to the midpoint of a side is known as apothem. In the given figure letter a represents the apothem.
Point D is the midpoint of BC,

Use Pythagorean theorem in triangle COD. So, option 1 is correct.





The distance can not be negative, so the length of the apothem is approximately 2.5 cm. Option 4 is correct.
The line OC bisects the angle C.



Therefore option 2 is correct.
The perimeter of an equality triangle is

Option 3 is incorrect.

Option 5 is incorrect.
Therefore options 1, 2 and 4 are correct.
Let's start b writing down coordinates of all points:
A(0,0,0)
B(0,5,0)
C(3,5,0)
D(3,0,0)
E(3,0,4)
F(0,0,4)
G(0,5,4)
H(3,5,4)
a.) When we reflect over xz plane x and z coordinates stay same, y coordinate changes to same numerical value but opposite sign. Moving front-back is moving over x-axis, moving left-right is moving over y-axis, moving up-down is moving over z-axis.
A(0,0,0)
Reflecting
A(0,0,0)
B(0,5,0)
Reflecting
B(0,-5,0)
C(3,5,0)
Reflecting
C(3,-5,0)
D(3,0,0)
Reflecting
D(3,0,0)
b.)
A(0,0,0)
Moving
A(-2,-3,1)
B(0,-5,0)
Moving
B(-2,-8,1)
C(3,-5,0)
Moving
C(1,-8,1)
D(3,0,0)
Moving
D(1,-3,1)
Answer:
EF = HG and EF || HG
Step-by-step explanation:
A quadrilateral is a polygon shape with four sides and four angles.
A parallelogram is a quadrilateral with two pairs of parallel sides. The following are properties of a parallelogram:
- Opposite sides are equal and parallel.
- Opposite angles are equal to each other.
- Consecutive angles are supplementary
- The diagonals of a parallelogram bisect each other.
If Quadrilateral EFGH with diagonals EG and HF is a parallelogram then EF = HG and EF || HG