geometry 1-3 - weebly

Sunday, September 8, 2013

Over Lesson 1–2

A. AB. BC. CD. D

What is the value of x and AB if B is between A and C, AB = 3x + 2, BC = 7, and AB = 8x – 1?

A. x = 2, AB = 8

B. x = 1, AB = 5

C.

D. x = –2, AB = –4


http://glencoe.mcgraw-hill.com/sites/0078884845/







Over Lesson 1–2

A. AB. BC. CD. D

A. x = 1, MN = 0

B. x = 2, MN = 1

C. x = 3, MN = 2

D. x = 4, MN = 3

If M is between L and N, LN = 3x – 1, LM = 4, and MN = x – 1, what is the value of x and MN?









Over Lesson 1–2

A. AB. BC. CD. D

Find RT.

A.

B.

C.

D.

.

.

in.

in.









Over Lesson 1–2

A. AB. BC. CD. D

What segment is congruent to MN?

A. MQ

B. QN

C. NQ

D. no congruent segments









Over Lesson 1–2

A. AB. BC. CD. D

What segment is congruent to NQ?

A. MN

B. NM

C. QM

D. no congruent segments









Over Lesson 1–2

A. AB. BC. CD. D

A. 5

B. 6

C. 14

D. 18









Five-Minute Check (over Lesson 1–2)Then/NowNew VocabularyKey Concept: Distance Formula (on Number Line)Example 1: Find Distance on a Number LineKey Concept: Distance Formula (in Coordinate Plane)Example 2: Find Distance on Coordinate PlaneKey Concept: Midpoint Formula (on Number Line)Example 3: Real-World Example: Find Midpoint on Number LineKey Concept: Midpoint Formula (in Coordinate Plane)Example 4: Find Midpoint in Coordinate PlaneExample 5: Find the Coordinates of an EndpointExample 6: Use Algebra to Find Measures









You graphed points on the coordinate plane. (Lesson 0–2)

SC #5: I can find the distance between two points on a number line.

SC #8: I can find the midpoint of a segment in a coordinate plane.

Objective #3: Students will be able to find the distance between two points and the midpoint of a segment

SC #6: I can find the distance between two points in the coordinate plane.SC #7: I can find the midpoint between two points on a number line.







• distance - the length of the segment between two points

• midpoint - the point on a segment exactly half way between the endpoints of the segment

• segment bisector - a segment, line or plane that intersects a segment at its midpoint









http://www.glencoe.com/apps/eGlossary612/grade.php












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









A. AB. BC. CD. D

A. 2

B. 8

C. –2

D. –8

Use the number line to find AX.









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)










Check Graph the ordered pairs and check by using the Pythagorean Theorem.










.









A. 4

B.

C.

D. A. AB. BC. CD. D

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









Find Midpoint on a Number Line

DECORATING Marco places a couch so that its end is perpendicular and 2.5 feet away from the wall. The couch is 90” wide. How far is the midpoint of the couch back from the wall in feet?First we must convert 90 inches to 7.5 feet. The coordinates of the endpoints of the couch are 2.5 and 10. Let M be the midpoint of the couch.

Midpoint Formula

x1 = 2.5, x2 = 10

Simplify.

Answer: The midpoint of the couch back is 6.25 feet from the wall.





A. AB. BC. CD. D

A. 330 ft

B. 660 ft

C. 990 ft

D. 1320 ft

DRAG RACING The length of a drag racing strip is mile long. How many feet from the finish line is

the midpoint of the racing strip?









Find Midpoint in Coordinate Plane

Answer: (–3, 3)









A. AB. BC. CD. D

A. (–10, –6)

B. (–5, –3)

C. (6, 12)

D. (–6, –12)









Find the Coordinates of an Endpoint

Write two equations to find the coordinates of D.

Let D be (x1, y1) and F be (x2, y2) in the Midpoint Formula.









Find the Coordinates of an Endpoint

Answer: The coordinates of D are (–7, 11).

Midpoint Formula

Midpoint Formula









A. AB. BC. CD. D

A. (3.5, 1)

B. (–10, 13)

C. (15, –1)

D. (17, –11)

Find the coordinates of R if N (8, –3) is the midpointof RS and S has coordinates (–1, 5).









Use Algebra to Find Measures

Understand You know that Q is the midpoint of PR, and the figure gives algebraic measures for QR and PR. You are asked to find the measure of PR.










Use this equation and the algebraic measures to find a value for x.

Plan Because Q is the midpoint, you know that

Solve

Subtract 1 from each side.









Original measure











Check

QR = 6 – 3x Original Measure










Multiply.

Simplify.









A. AB. BC. CD. D









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