1-2 Segment Addition Postulate

Front

What is the 1-2 Segment Addition Postulate?

Back

The 1-2 Segment Addition Postulate states that if point B is between points A and C, then AB + BC = AC.

Front

If AB = 9 and BC = 15, what is AC?

Back

AC = AB + BC = 9 + 15 = 24.

Front

If R is the midpoint of segment QS, what is the relationship between segments QR and RS?

Back

QR = RS, meaning both segments are equal in length.

Front

If RS = 2x - 4 and ST = 4x - 1, how do you find RT?

Back

RT = RS + ST, so RT = (2x - 4) + (4x - 1) = 6x - 5.

Front

What is the formula to find the length of a segment given its midpoint?

Back

If R is the midpoint of segment QS, then QS = 2 * QR.

Front

If RT = 8x - 43 and RS = 2x - 4, how do you express ST?

Back

ST = RT - RS = (8x - 43) - (2x - 4) = 6x - 39.

Front

What is the value of x if RS = 2x - 4 and ST = 4x - 1, given that RT = 8x - 43?

Back

Set up the equation: RS + ST = RT, solve for x.

Front

If AB + BC = AC, what does it mean if AB = 24 and AC = 43?

Back

It means BC = AC - AB = 43 - 24 = 19.

Front

What is the significance of a midpoint in segment addition?

Back

A midpoint divides a segment into two equal parts, allowing for easier calculations of segment lengths.

Front

If segment lengths are given as algebraic expressions, how do you solve for unknowns?

Back

Set up equations based on the segment addition postulate and solve for the variable.