Find the distance (units) and the midpoint (ordered pair) between these two points shown. Leave answers precise and simplified.

a) (5, 13) & (9, 10) b) ( –2 , 6) & ( –7 , –6)

Warm Up 9/4, 5

Pythagorean Theorem

In a right triangle,

a2 + b2 = c2

a and b are the legs (shorter sides that form the right angle)

c is the hypotenuse (longest side, opposite the right ∠)

a) (5, 13) & (9, 10) b) ( –2 , 6) & ( –7 , –6)

Use the Pythagorean Theorem to find the distance between the two points.

Objective

SWBAT classify angles and identify relationships among them.

exteriorinterior

Angle Addition Postulate

Congruent Angles

Congruent angles are angles that have the same measure.

Angle Bisector

An angle bisector is a ray that divides an angle into two congruent angles.

Make sure to mark angles≅

1-4 Pairs of Angles

1-4 Angle Pairs

Jigsaw Activity• How it works:

– Each team will be assigned to one type of angle pair.– As a team, research your angle pair.

• No more than 2 electronic devices per group

– Fill in the space for your angle pair with its definition and a diagram.

– EVERYONE Be prepared to explain your angle pair to others.

Jigsaw Activity

• Teams 7 : adjacent angles• Teams 1 & 2: linear pair (compare 2 sources)• Teams 3 & 6: vertical angles• Teams 4 & 5: complementary and supplementary

angles

• You have 7 minutes to research your angle pair and fill in the graphic organizer with its definition and a diagram.

Jigsaw Activity

When I tell you to, you will move to your new group* and do the following:

• Teach your classmates about your angle pair.– Make sure everyone understands.

• Complete your graphic organizers with the information you have learned.– Make sure you have a definition and a diagram for

each angle pair.

*New group assignments on next slide.

Jigsaw ActivityA’s go to tables 1 and 2B’s go to tables 3 and 4C’s go to tables 5 and 6D’s go to tables 7 and 8

Jigsaw Activity

• Teach your classmates about your angle pair.– Make sure everyone understands.

• Complete your graphic organizers with the information you have learned.– Make sure you have a definition and a diagram for

each angle pair.

1-4 Angle Pairs

Next to each other

Add to 90˚

Add to 180˚Next to each other and form a straight line

Not next to each other; formed by two intersecting lines and are ≅

Please return to your team.

Complete 1-4 Practice B as a team.