Drag the points to demonstrate the Segment Addition Postulate
Segment Addition Postulate Practice
[size=150][b][color=#b45f06]Click and hold on point C. Move the point to the right until the measure of AC = 9. What is the measure of segment BC when segment AB = 4? (It's not enough to get the right answer, show your work). [/color][/b][/size]
AB + BC = AC (segment addition postulate)[br]AC = 9 4 + BC = 9 [br]AB = 4 4([color=#ff0000]-4[/color])+ BC = 9 ([color=#ff0000]-4[/color])[br]BC = BC BC = 5[br]
[color=#b45f06][b]Without changing the measure of AC, click and hold point B and move it to the right until AB = 7. What is the length of BC when AB = 7? (It's not enough to get the right answer, show your work)[/b][/color]
AB + BC = AC (segment addition postulate)[br]AB = 7 7 + BC = 9[br]AC = 9 7 ([color=#ff0000]-7[/color]) BC = 9 ([color=#ff0000]-7[/color])[br]BC = BC BC = 2
[color=#b45f06][b]Without changing the measure of AC, click and hold point B and move it until AB = 4.5. What is the length of BC when AB =4.5? (It's not enough to get the right answer, show your work)[br][br][/b][/color][color=#ff0000](You may need to use your calculator when adding and subtracting decimals. [/color]
AB + BC = AC (segment addition postulate)[br]AB = 4.5 4.5 + BC = 9[br]AC = 9 4.5 ([color=#ff0000]-4.5[/color]) + BC= 9 ([color=#ff0000]-4.5)[/color][br]BC = BC BC = 4.5
[size=150][b][color=#b45f06]When AB = 4.5, and AC = 9, what is true about the length of AB and BC?[/color][/b][/size]
When AB = 4.5, and AC = 9, the length of AB and BC are equal. B is the MIDPOINT of AC
[color=#b45f06][b][size=150]Move point C until AC = 8.3. Slide point B until AB = 3.3. What is the length of BC? (It's not enough to get the right answer, show your work).[/size][/b][/color]
AB + BC = AC (segment addition postulate)[br]AB = 3.3 3.3 + BC = 8.3[br]AC = 8.3 ([color=#ff0000]-3.3[/color]) + BC = 8.3 ([color=#ff0000]-3.3[/color])[br]BC = BC BC = 5
[b][size=150][color=#b45f06]Without changing AC = 8.3, slide point B until BC = 3.3. What is the length of AB? (It's not enough to get the right answer, show and check your work).[/color][/size][/b]
AB + BC = AC (segment addition postulate)[br]BC = 3.3 AB + 3.3 = 8.3 [br]AC = 8.3 AB + 3.3 ([color=#ff0000]-3.3[/color]) = 9.3 ([color=#ff0000]-3.3)[/color] [br]AB = AB AB = 5[br]
[b][size=150][color=#b45f06]Move point C until the length of AC = 11.7. Set point B so that BC = 6. What is the length of AB? (It's not enough to get the right answer, show your work). [br][/color][/size][/b]
AB + BC = AC (segment addition postulate)[br]BC = 6 AB + 6 = 11.7[br]AC = 11.7 AB + 6 ([color=#ff0000]-6)[/color] = 11.7 ([color=#ff0000]-6[/color]) [br]AB = AB AB = 5.7
[b][size=150][color=#b45f06]Move CC until the length of AC = 11. What will happen to the measure of AB and BC when you place point B on the midpoint of the segment? What is the length of both segments at the midpoint? [/color][/size][/b]
When B is placed on the midpoint of segment AC, the length of AB and the length of BC will be equal. The midpoint for a segment with a measure of 11 is 5.5.