A. x = 2, AB = 8 B. x = 1, AB = 5 C. D. x = –2, AB = –4

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What is the value of x and AB if B is between A and C, AB = 3x + 2, BC = 7, and AC = 8x – 1? A. x = 2, AB = 8 B. x = 1, AB = 5 C. D. x = –2, AB = –4 5-Minute Check 1

If M is between L and N, LN = 3x – 1, LM = 4, and MN = x – 1, what is the value of x and MN? A. x = 1, MN = 0 B. x = 2, MN = 1 C. x = 3, MN = 2 D. x = 4, MN = 3 5-Minute Check 2

What segment is congruent to MN? A. MQ B. QN C. NQ D. no congruent segments 5-Minute Check 4

What segment is congruent to NQ? A. MN B. NM C. QM D. no congruent segments 5-Minute Check 5

A. 5 B. 6 C. 14 D. 18 5-Minute Check 6

You graphed points on the coordinate plane. Find the distance between two points. Find the midpoint of a segment. Then/Now

distance irrational number midpoint segment bisector Vocabulary

Concept

Use the number line to find QR. Find Distance on a Number Line Use the number line to find QR. The coordinates of Q and R are –6 and –3. QR = | –6 – (–3) | Distance Formula = | –3 | or 3 Simplify. Answer: 3 Example 1

Use the number line to find AX. C. –2 D. –8 Example 1

Concept

DISTANCE FORMULA

Find the distance between E(–4, 1) and F(3, –1). Find Distance on a Coordinate Plane Find the distance between E(–4, 1) and F(3, –1). (x1, y1) = (–4, 1) and (x2, y2) = (3, –1) Example 2

Find Distance on a Coordinate Plane Check Graph the ordered pairs and check by using the Pythagorean Theorem. Example 2

Find Distance on a Coordinate Plane . Example 2

Find the distance between A(–3, 4) and M(1, 2). Example 2

Concept

MIDPOINT FORMULA (NUMBER LINE)

Concept

MIDPOINT FORMULA (COORDINATE PLANE)

Find Midpoint in Coordinate Plane Answer: (–3, 3) Example 4

A. (–10, –6) B. (–5, –3) C. (6, 12) D. (–6, –12) Example 4

Find the coordinates of R if N (8, –3) is the midpoint of RS and S has coordinates (–1, 5). B. (–10, 13) C. (15, –1) D. (17, –11) Example 5

A. 1 B. 10 C. 5 D. 3 Example 6