Question

I NEED SOMEONE REALLY GOOD AT GEOMETRY.

2. Identify the angle measures. (2 points)
m∠1: 105 degrees

m∠2 : _________________________
(Picture included)

3. Answer each short answer question about the properties of quadrilaterals. (4 points)
a) Why are all parallelograms not rectangles?

b) Why are all rectangles not squares?

c) Why are all parallelograms not rhombi?

d) What is the definition of a parallelogram?

6. QRST is a parallelogram with diagonals (QS) ̅ and (RT) ̅ intersecting at point A. If (RT) ̅=x+15 and (RA) ̅=2x+3, what is the length of (RT) ̅? Show work to receive credit. (3 points) HINT: Draw a picture

7. Find the value of x in the triangle. Show work to receive credit. (2 points)
(Picture included)

8. Find midsegment (EG) ̅ that is parallel to side (BC) ̅. Show all work to receive credit. (3 points)

Answer 1

2. 75

3. Not sure about these

3a. Rhombi have for equal sides as do squares an rectangle does not have this therefore not all parallelograms are rectangles

3b. In a square all 4 sides are equal this is not true for a rectangle

3c. Not all shapes are rhombi because a rectangle has 4 equal angles and a rhombi does not

3d. Quadrilateral (a shape with four sides) with two pairs of parallel lines

I am not sure about 6 or 7 and I don't want to give you the wrong answer

8. The midsection is a line drawn between the two midpoints points E= (-2,3) G=(2.5,1.5) I know this because I took this test

work:

Midpoint of AC 1+(-5)/2= -4/2= -2

5+1/2= 6/2=3 so (-2,3)

Midpoint of AB 1+4/2=5/2=2.5

5+(-2)/2=3/2=1.5 so (2.5, 1.5)

Answer 2

There are a lot of problems here. I'll do the first three (problems 2, 3, 6) to get you started. If you're still stumped, then make a new post for the remainder of the problems.

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Problem 2

Angle 2 is 75 degrees because 75 + 105 = 180. Or put another way, 180 - 105 = 75. Angle 1 and angle 2 add to 180 degrees as they form a straight angle. They are considered supplementary angles.

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Problem 3

a) A rhombus with no right angles is one example of a parallelogram that isn't a rectangle

b) A square must have all four sides the same length, whereas a rectangle can have 2 pairs of sides that are different such as a 7 by 8 rectangle.

c) It is possible to have a parallelogram with two sets of different opposite sides, which means that not all four sides are the same length, so it wouldn't be a rhombus. This is similar to part b above, except that the angles don't all have to be 90

d) A parallelogram is a quadrilateral with opposite pairs of parallel sides

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Problem 6

Check out the attached image to see the drawing for problem 6.

As the diagram shows, RT is one of the diagonals. The other diagonal cuts RT in half at point A. This means segment RA is exactly half that of RT. Or RT is twice that of RA

2*RA = RT

2*(2x+3) = x+15

4x+6 = x+15

4x-x = 15-6

3x = 9

x = 3

If x = 3, then RT = x+15 = 3+15 = 18. So RT is 18 units long.