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Mathematics

2 answers:

Contact [7]3 years ago

6 0

Answer:

4) Alternate Interior angles 5) Parallel lines property.

Step-by-step explanation:

The question is asking us to Complete the statements to prove that line AB ⩭ to line CD and line BC ⩭ to line AD.

In statement 4 .∠CAB is congruent to ∠ACD as AB is parallel to CD and ∠BCA is congruent to∠CAD as AD is parallel to BC and these are Alternate interior angles to the parallel lines .

In statement 5.m∠CAB =∠ACD and ∠BCA = ∠CAD as by property of parallel lines Alternate interior angles are equal.

Dmitriy789 [7]3 years ago

6 0

The missing proof for 4 is alternate interior angles theorem and for #5 it's congruent angles have equal measures

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The trapezoid above is cut into two triangles with a black line. Find the area of the two triangles and add the areas together.

Leokris [45]

Answer:

$42$

Step-by-step explanation:

The area of a triangle with base $b$ and height $h$ is given by $A=\frac{1}{2}bh$ . In the trapezoid, the two triangles share a height of 6, however one has a base of 6 and the other has a base of 8.