Download Module 7 Lesson 4 Trapezoids and Kites Remediation Notes Slide 1

Module 7 Lesson 4 Trapezoids and Kites Remediation Notes
Slide 1:
“A trapezoid cannot have both pairs of opposite sides parallel. As you can see here, we have two
bases that are parallel, but our legs are not parallel. So, the parallel sides are called bases and the
non parallel sides are called legs. A trapezoid actually has two pairs of base angles. C and D are
one pair of base angles; A and B are the second pair of base angles.”
Slide 2:
“If the angles are adjacent but not base angles – here D and C are base angles, but we want to
talk about D and A – then they are supplementary. Again, A and B are base angles, but if we talk
about B and C, we know that they are supplementary.”
Slide 3:
“We do have special trapezoids; isosceles is a special trapezoid. If the two sides that are not
parallel are the same length, then it’s an isosceles trapezoid. This means as it does in an isosceles
triangle that those base angles that are opposite the sides are congruent. A trapezoid is isosceles
if and only if its diagonals are congruent. So, if you can imagine two diagonals in here, they
would have to be congruent.”
Slide 4:
No words.
Slide 5:
“The midsegment of a trapezoid is parallel to each base. So, segment AD is parallel to the
midsegment is parallel to segment BC. The midsegment is also half the sums of the lengths of
the bases. That means that if I add the measure of AD to the measure of BC, I get a value, and if
I divide that by two, I get the measure of my midsegment.”
Slide 6:
“When we look at kites, we see that a kite is quite different from most of our parallelograms.
First of all, we have two pairs of consecutive congruent sides. Up here we have one pair of
consecutive congruent sides, and down here we have another pair of consecutive congruent
sides. However, opposite sides are not congruent in a kite. These are opposite sides and they are
not congruent.”
Slide 7:
“We also know that the diagonals of a kite are perpendicular.”
Slide 8:
“Finally, if a quadrilateral is a kite, then we have exactly one pair of opposite angles that are
congruent. So, that means that angle A and angle C are congruent, and angle B and angle D are
congruent.”