geometry please need help asap?

1. Parallelogram ACFD is split in two parts so that ABED and FEBC are congruent isosceles trapezoids. What are the measures of all the angles of trapezoid FEBC if angle D is 46°?

http://i93.photobucket.com/albums/l74/DJJ_07/pic1-...

Angle C = _________________

Angle F = _________________ (Hint: Angle A is congruent to Angle F)

Angle <CBE = ________________

Angle <FEB = ________________

2. Two congruent "door-stop" trapezoids are placed edge-to-edge with measurements and markings as shown. How long is the upper base of the combined trapezoids?

http://i93.photobucket.com/albums/l74/DJJ_07/pic2-...

3. The diagonals of an isosceles trapezoid are labeled 4x² and 8x+5. Find the value(s) of x.

4. A kite has diagonals of 16 inches and 23 inches as seen below. What is the perimeter of the kite?

http://i93.photobucket.com/albums/l74/DJJ_07/pic3....

4 Answers

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  • 10 years ago
    Favorite Answer

    1)

    C=46

    F=134

    CBE=46

    FEB=134

    2)

    20

    3)

    x=2.5 and x=-.5

    4)

    34+16(2)^.5

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  • Anonymous
    10 years ago

    C: By definition of a parallelogram, C=D= 46 degrees

    F: By definition of a parallelogram, F is supplementary to C, so it equals 134 degrees

    CBE: By definition of an isosceles trapezoid, CBE=C= 46 degrees

    FEB: By definition of an isosceles trapezoid, FEB=F= 134 degrees

    2. Use the pythagorean theorem to find the height of the trapezoid, which is congruent to half the length of the you are looking for. Since the triangle given is a 5-12-13 triangle, the height is 26*5/13=10. Twice that is 20, your solution.

    3. By definition of an isosceles trapezoid, 4x^2=8x+5. Set 4x^2-8x-5 equal to 0, and factor it into (2x+1)(2x-5). From that you can conclude that x=-1/2 or x=5/2

    4. All you have to do is use the pythagorean theorem for the 8 by 8 triangle and the 8 by 15 triangle. Since 8=8, the two upper triangles are 90-45-45 triangles, so the hypotenuse of each of them is 8sqrt(2). The lower triangles are 8-15-17 triangles, so the hypotenuse is 8*17/8=17. So your answer is 2*8sqrt(2)+2*17= 34+16sqrt(2) inches

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  • 3 years ago

    ok guy. a quadrilateral has 4 aspects properly suited? a rectangle has 4 aspects (A) a rectangle is a quadrilateral with opposing aspects of the comparable length. it incredibly is genuine of a sq. (B) a rhombus has 4 aspects. so its additionally a quadrilateral. (C) basically because of the fact some thing has 4 aspects doesnt advise its a sq.. so D. pay interest at college guy.

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  • Anonymous
    10 years ago

    1/

    46

    134

    46

    134

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