Download 4/6 Geometry Bell Ringer

4/6 Geometry Bell Ringer
Find mM and solve for x:
Homework: FINISH TODAY’S INDEPENDENT
PRACTICE
News and Notes
• Perfection: 4th
• REPORT CARDS TOMORROW! EXTRA CREDIT!!
• ACT Workshop today after school in 218.
Perfection Competition Daily Results
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1st
2nd
4th
7th
8th
Yesterday:
• We investigated missing angles of
quadrilaterals.
Today:
• Discover properties of two special types of
quadrilaterals: Kites and Trapezoids.
• GET OUT YOUR VOCAB TREE
• Imagine Quadrilateral is the grandparent
• Kite, Parallelogram and Trapezoid are parents
4 SI DES
• What’s the link between grandparents and
parents?
• Now let’s discover some specific properties for
kites and trapezoids. We will start with a kite.
Kreate-A-Kite
• Step 1: On patty paper, draw two connected
segments of different lengths.
• Step 2: Fold through endpoints and trace the
two line segments.
• Step 3: Open up the paper, answer questions
1!
Question 1
• What appears to be true regarding the angles
of a kite?
• KITE ANGLE CONJECTURE: Kites have one pair
of opposite angles congruent
Question 2:
• What appears to be true about the sides of
the kite?
• KITE SIDE CONJECTURE: Kites have two pairs
of congruent sides
Back to the Patty Paper
• Step 4: Draw the diagonals of the kite
(connect opposite vertices).
• Step 5: Answer question #3.
Question #3
• How are the diagonals related?
• KITE DIAGONALS CONJECTURE: The
diagonals of a kite are perpendicular and one
is bisected by the other
What’s so special about a kite?
2 pairs of congruent sides
1 pair of congruent angles
Diagonals are perpendicular
Small diagonal is bisected
Now on to trapezoids
• What is a trapezoid?
• A quadrilateral with ONE pair of parallel
sides.
• So does this work?
1 pair of parallel sides.
Consecutive angles are supplem.
What makes it isosceles or right?
• What was an isosceles triangle?
A triangle with 2 congruent sides and angles.
• So what is an isosceles trapezoid?
A trapezoid with 2 congruent sides (not the parallel
ones) and 2 pairs of congruent angles.
DRAW ONE!!!
2 congruent sides
2 pairs congruent angles
Diagonals congruent
What is a right trapezoid?
1 right angle
PRACTICE UNTIL EXIT TICKET!!!
EXIT TICKET
• 1) Given that the following trapezoid is
isosceles, solve for x, y, and z.
x°
7 ft
70°
110°
z
y°
• 2) What is the relationship between the
opposite angles?