Geometry - Isosceles Trapezoid
4. If m∠A = 70, what is m∠B?
m∠B = [tex]\color{red}{70}[/tex]
5 If m∠D=105, what is m∠B?
m∠B = [tex]\color{red}{75}[/tex]
6. If m∠B = 2x-6 and m∠A = 82, what is x?
Finding x:
[tex]2x - 6 + 82 = 180[/tex]
[tex]2x + 76 = 180[/tex]
[tex]2x = 180 - 76[/tex]
[tex] \frac{2x}{2} = \frac{104}{2} [/tex]
[tex]\color{red}{x = 52}[/tex]
7. If m∠B = 2(y + 4) and m∠D = 116, what is y?
Finding y:
[tex]2y + 4 + 116 = 180[/tex]
[tex]2y + 120 = 180[/tex]
[tex]2y = 180 - 120[/tex]
[tex] \frac{2y}{2} = \frac{60}{2} [/tex]
[tex]\color{red}{y = 30}[/tex]
8. If AC = 56cm, what is DB?
DB = [tex]\color{red}{56cm}[/tex]
9. If AC = 2x + 10 and DB = 4x-6, what is AC?
Finding x:
[tex]2x + 10 = 4x - 6[/tex]
[tex]2x - 4x = - 6 - 10[/tex]
[tex] \frac{ - 2x}{ - 2} = \frac{ - 16}{ - 2} [/tex]
[tex]x = 8[/tex]
Finding AC:
[tex]2(8) + 10[/tex]
[tex]16 + 10[/tex]
[tex]\color{red}{= 26}[/tex]
What are the properties of an Isosceles Trapezoid?
- The legs are congruent
- The lower and upper base angles are congruent
- Any lower base angle is supplementary to any upper base angle
- The diagonals are congruent
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