session 31 check your homework with a neighbor. which property justifies the statement? 1.if a b...
TRANSCRIPT
Session 31 Check your homework with a neighbor.
Which property justifies the statement?
1. If A B and B C, then A C.
2. If M N, then N M.
3. If 1 = 80, and m1 = m2, then m2 = 80.
Transitive property of congruence
Symmetric property of congruence
Substitution property of equality
AGENDA
1. Discuss hw
2. Notes 6.2 & 6.3
3. Practice
Fri. 11th
Quiz & 6.4
Tues. 14th
6.5 & 6.6
Thurs. 16th
6.7
HW Check1. Use the number of sides to
identify the polygon.
2. Is #1 concave or convex, explain your answer.
3. Use the information in the diagram to find the mA.
4. Use the information in the diagram to solve for x.
Concave A37
153
8x 3x – 1
2x + 13
143
15
Nonagon
ABCD is a parallelogram. Find the lengths and the angle measures.
1. AD
2. EC
3. mADC
4. mBCD
B 8 C
A D
6545
E
5
85
110
70
1.BOTH pairs of opposite sides are parallel2.BOTH pairs of opposite sides are congruent
3. BOTH pairs of opposite angles are congruent
4.ONE angle is supplementary to BOTH consecutive angles
5.diagonals BISECT each other
6. ONE pair of opposite sides are CONGRUENT & PARALLEL
Show that A(2, 0), B(3, 4), C(-2, 6), and D(-3, 2) is a parallelogram.
• One way is to show that opposite sides are parallel by finding every sides’ slopes.
• Another way is to find the distances of both pairs of opposite sides.
Show that A(2, 0), B(3, 4), C(-2, 6), and D(-3, 2) is a parallelogram.
• Let’s find the slopes of all sides.
ABm 4
CDm 4
BCm 5
2
DAm 5
2
Since opposite sides have the same slope,
opposite sides are parallel.
ABCD IS a parallelogram!!