Quadrilaterals Worksheet With Answers Page 49
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50Exercises
1. Prove the theorem: The diagonals of an isosceles trapezoid are congruent.
Given: Isosceles trapezoid ABCD with diagonals AC and BD
AC ≅
Prove:
BD
D
C
A
B
Complete the proof below with the appropriate statements and reasons.
Proof:
1. ________________________
1. Given
2. ________________________
2. Definition of an isosceles trapezoid
3. ∠DAB ≅ ∠CBA
3. ___________________________
4. Reflexive property
4. _________________________
5. ∆DAB ≅ ∆CBA
5. ____________________________
6. ∴________________________
6. SAS congruence postulate
2. Given: Trapezoid TRAP
P
A
Median MN
MN = (7x – 4) cm
M
N
TR = (5x + 12) cm
AP = (3x + 10) cm
R
T
Find: x and the indicated measure
x = ___________
MN = __________
3. Given: Trapezoid ABCD with vertices A(-2,1), B(3,1), C(5,5), D(x-1, y+3)
a) Graph the given coordinates of trapezoid ABCD
b) Find the value of x and y in the coordinates of vertex D so that trapezoid
ABCD is isosceles.
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