NAME_____________________________________DATE_________________PER._______
TRAPEZOIDS
RSTV is an isosceles trapezoid. Decide whether each statement is TRUE or FALSE.
Justify your answer.

1. TRUE or FALSE
Why?
TR ⊥ SV

2. TRUE or FALSE
Why?
∠RVT ≅ ∠STV

3. TRUE or FALSE
Why?
∠SRV & ∠TVR are
supplementary.

WXYZ is an isosceles trapezoid with bases WZ and XY and median MN. Use the given
information to solve each problem.
4. MN = ____________ Find MN if WZ = 11 and XY = 3.

5. m∠XMN = ____________ Find m∠XMN if m∠WZN = 78°.

6. XY = ____________ If MN = 10 and WZ = 14, find XY.

7. x = ____________ What is the value of ‘x’ if m∠MWZ = (15x –5)° and m∠WZN = (90 – 4x)°?

8. x = ____________ If m∠XWZ = (2x – 7)° and m∠XYZ = 117°, find
the value of ‘x’.

9. x = ____________ If MN = 60, XY = 4x – 1, and WZ = 6x + 11, find
the value of ‘x’.

10. x = ____________ If MN = 10x + 3, WZ = 11, and XY = 8x + 19,
find the value of ‘x’.

11. x = ____________ If MN = 2x + 1, XY = 8, and WZ = 3x – 3, find
the value of ‘x’.

Can someone do this for me? im having a hard time and I have a 42 in math rn and I just need these done cause they are late.. if anyone likes geometry then here you go

Respuesta :

1. False
2. True
3. True
4. I believe the answer is 7

Answer:NAME:     Nzube Erobu        DATE: 02/ 06 / 2020

Step-by-step explanation: With reference to the attached document, below:

1) False, the lines linking between TR and SV are diagonals

2) True,  ∠RVT = ∠ STV because they have the same right angled triangles.

3) True, because they separate triangles that have all angles in each triangle summing up to 180°  

4) (11 + 3)/2 = 14/2= 7

7) (15x - 5)° + (90 - 4x)° = 180°

(15x - 4x + 90 - 5)° = 180°

( x + 85)° = 180°

∴ x = 180° - 85° = 95°

8) (2x - 7)° + 117° = 180°

2x° +117° - 7° = 180°

2x° + 110° = 180°

2x = 180° - 110°

∴ x = 70°/2 = 35°

9) 4x - 1 + 6x + 11 = 60

4x + 6x + 11 -1 = 60

10x + 10 = 60

10x = 60 - 10 = 50

∴ x = 50/10 = 5

10) 18x + 19 - (10x + 3)  = 11

       18x - 10x + 19 - 3 = 11

8x + 16 = 11

8x = 11 - 16 = - 5

∴ x = - 5/8

11) 2x + 1 + 3x - 3 = 8

2x + 3x  - 3 + 1 = 8

5x - 2 = 8

5x = 8 + 2= 10

∴ x = 10/5 = 2

Ver imagen zubam2002