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1.1 Exit Ticket: Part 1 Answers

CB and CD. 2. A point on BC. Possible answer: BD. 1.1 Exit Ticket: Part 1 Answers. 1. Two opposite rays. Possible answer: B,C, D. 3. The intersection of plane N and plane T. 4. A plane containing E , D , and B. Plane T. Exit Ticket: Part II Answers.

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1.1 Exit Ticket: Part 1 Answers

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  1. CB and CD 2. A point on BC. Possible answer: BD 1.1 Exit Ticket: Part 1 Answers 1. Two opposite rays. Possible answer: B,C, D 3. The intersection of plane N and plane T. 4. A plane containing E, D, and B. Plane T

  2. Exit Ticket: Part II Answers Draw each of the following. 5. a line intersecting a plane at one point 6. a ray with endpoint P that passes through Q

  3. Objectives • Use Segment Addition Postulate and Midpoint • Construct Congruent segment and Midpoint AB Length of AB (distance between A & B) AB line segment AB AB line AB

  4. Find the distance between two points or the length of the segment Example- Find the length of EF, FC, DC

  5. Find the distance between two points or the length of the segment You Practice- Find the length of DB and DC

  6. 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.

  7. 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.

  8. Example 1A: Using the Segment Addition Postulate G is between F and H, FG = 6, and FH = 11. Find GH. 1. Draw picture 2. Write equation based on picture . 3. Solve

  9. Example 1B: Using the Segment Addition Postulate R is between T and M, RT = 7, and RM = 12. Find TM. 1. Draw picture 2. Write equation based on picture . 3. Solve

  10. Check It Out! Example 1 Y is between X and Z, XZ = 15, and XY =2 . Find YZ. XZ = XY + YZ

  11. Challenge: Using the Segment Addition Postulate M is between N and O. Find NO. Seg. Add. Postulate Substitute the given values Simplify. Subtract 2 from both sides. Subtract 3x from both sides. Divide both sides by 2.

  12. 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.

  13. Midpoint: Bisect:

  14. The midpointM 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.

  15. Construct Midpoint and segment bisector Math Open Reference http://www.mathopenref.com/tocs/constructionstoc.html

  16. Example 2A: Using the Midpoint S is the midpoint of JK, and SJ = 4. Find JK 1. Draw picture 2. Write equation based on picture . 3. Solve

  17. Example 2B: Using the Midpoint B is the midpoint of AC, and AB = 22. Find BC 1. Draw picture 2. Write equation based on picture . 3. Solve

  18. D is the midpoint of EF, ED = 4x + 6, and DF = 7x – 9. Find ED, DF, and EF. D is the mdpt. of EF. Example 3: Using Midpoints to Find Lengths E D 4x + 6 F 7x – 9 Step 1 Solve for x. Substitute 4x + 6 for ED and 7x – 9 for DF. Subtract 4x from both sides. Simplify. Add 9 to both sides. Simplify.

  19. D is the mdpt. of EF. Example 3: Using Midpoints to Find Lengths D is the midpoint of EF, ED = 4x + 6, and DF = 7x – 9. Find ED, DF, and EF. E D 4x + 6 F 7x – 9 Step 1 Solve for x. Substitute 4x + 6 for ED and 7x – 9 for DF. Subtract 4x from both sides. Simplify. Add 9 to both sides. Simplify.

  20. S is the mdpt. of RT. +3x +3x Check It Out! Example 3 S is the midpoint of RT, RS = –2x, and ST = –3x – 2. Find RS, ST, and RT. R S T –2x –3x – 2 Step 1 Solve for x. RS = ST –2x = –3x – 2 Substitute –2x for RS and –3x – 2 for ST. Add 3x to both sides. x = –2 Simplify.

  21. HW • Pg 17, 1-7, 17,18

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