1.1 Exit Ticket: Part 1 Answers

Holt McDougal Geometry

1-2 Measuring and Constructing Segments

1.1 Exit Ticket: Part 1 Answers

1. Two opposite rays.

3. The intersection of plane N and plane T.

4. A plane containing E, D, and B.

2. A point on BC.

CB and CD

Possible answer: B,C, D

Possible answer: BD

Plane T



Exit Ticket: Part II Answers

5. a line intersecting a plane at one point

6. a ray with endpoint P that passes through Q

Draw each of the following.



AB Length of AB (distance between A & B)

AB line segment AB

AB line AB

Objectives1.Use Segment Addition Postulate and Midpoint2. Construct Congruent segment and Midpoint



Find the distance between two points or the length of the segment

Example-

Find the length of EF, FC, DC



Find the distance between two points or the length of the segment

You Practice-

Find the length of DB and DC



Congruent segments: segments that have the same length.

In the diagram, PQ = RS, so you can write:

PQ RS. This is read as:

“segment PQ is congruent to segment RS.”

Tick marks are used in a figure to show congruent segments.



In order for you to say that a point B is between two points A and C, all three points must lie on the same line, and AB + BC = AC.



Example 1A: Using the Segment Addition Postulate

G is between F and H, FG = 6, and FH = 11. Find GH.

2. Write equation based on picture

.

1. Draw picture

3. Solve



Example 1B: Using the Segment Addition Postulate

R is between T and M, RT = 7, and RM = 12. Find TM.


.

1. Draw picture

3. Solve



Check It Out! Example 1

Y is between X and Z, XZ = 15, and XY =2 .

Find YZ.

XZ = XY + YZ



Challenge: Using the Segment Addition Postulate

M is between N and O.

Find NO.

Seg. Add. Postulate

Substitute the given values

Subtract 2 from both sides.Simplify.

Subtract 3x from both sides.

Divide both sides by 2.



Challenge: Using the Segment Addition Postulate

E is between D and F.

Find DF.

Seg. Add. Postulate

Substitute the given values

Simplify.

Subtract 3x from both sides.

Divide both sides by 3.



Midpoint:

Bisect:



The midpoint M of AB is the point that bisects, or divides, the segment into two congruent segments.

If M is the midpoint of AB, then AM = MB.

So if AB = 6, then AM = 3 and MB = 3.



Construct Midpoint and segment bisector

Math Open Reference

http://www.mathopenref.com/tocs/constructionstoc.html



Example 2A: Using the Midpoint

S is the midpoint of JK, and SJ = 4. Find JK


.

1. Draw picture

3. Solve



Example 2B: Using the Midpoint

B is the midpoint of AC, and AB = 22. Find BC


.

1. Draw picture

3. Solve



Example 3: Using Midpoints to Find Lengths

D FE 4x + 6 7x – 9

Step 1 Solve for x.

Substitute 4x + 6 for ED and 7x – 9 for DF.D is the mdpt. of EF.

Subtract 4x from both sides.Simplify.

Add 9 to both sides.Simplify.

D is the midpoint of EF, ED = 4x + 6, and DF = 7x – 9. Find ED, DF, and EF.



Check It Out! Example 3

S is the midpoint of RT, RS = –2x, and ST = –3x – 2. Find RS, ST, and RT.

S TR –2x –3x – 2

–2x = –3x – 2

x = –2

Step 1 Solve for x.RS = ST

+3x +3x

Substitute –2x for RS and –3x – 2 for ST.

S is the mdpt. of RT.

Add 3x to both sides.

Simplify.



HW• Pg 17, 1-7, 17,18

1.1 Exit Ticket: Part 1 Answers

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