Chapter 5 Relationships Within Triangles

Get Ready!

Lesson 1-6 Basic Constructions

Use a compass and straightedge for each construction.

1. Construct the perpendicular bisector of a segment.
2. Construct the bisector of an angle.

Lesson 1-7 The Midpoint Formula and Distance Formula

Find the coordinates of the midpoints of the sides of Δ ABC . cap delta  Then find the lengths of the three sides of the triangle.

3. A ( 5 , 1 ) , B ( − 3 , 3 ) , C ( 1 , − 7 ) eh open 5 comma 1 close comma b open negative 3 comma 3 close comma c open 1 comma negative 7 close
4. A ( − 1 , 2 ) , B ( 9 , 2 ) , C ( − 1 , 8 ) eh open negative 1 comma 2 close comma b open 9 comma 2 close comma c open negative 1 comma 8 close
5. A ( − 2 , − 3 ) , B ( 2 , − 3 ) , C ( 0 , 3 ) eh open negative 2 comma negative 3 close comma b open 2 comma negative 3 close comma c open 0 comma 3 close

Lesson 2-2 Finding the Negation

Write the negation of each statement.

6. The team won.
7. It is not too late.
8. m ∠ R > 60 m angle , r greater than 60

Lesson 3-7 Slope

Find the slope of the line passing through the given points.

9. A ( 9 , 6 ) , B ( 8 , 12 ) eh open 9 comma 6 close comma b open 8 comma 12 close
10. C ( 3 , − 2 ) , D ( 0 , 6 ) c open 3 comma negative 2 close comma d open 0 comma 6 close
11. E ( − 3 , 7 ) , F ( − 3 , 12 ) e open negative 3 comma 7 close comma f open negative 3 comma 12 close

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