To Jesus Christ, my Lord: I can’t explain it, Lord,

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1.3 Distance & Midpoint p. 21.

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Presentation transcript:

To Jesus Christ, my Lord: I can’t explain it, Lord, But today I know you are with me. I know you hold me in The palm of your hand. I know you love me and will guide me. I know there is nothing you can’t do. I know there is nothing you won’t do for me. Amen. In the name of the Father, the Son and the Holy Spirit.

Lesson 2 Ex4 Find Measurements A. Find LM. Point M is between L and N. LM + MN = LN Betweenness of points LM + 2.6 = 4 Substitution LM + 2.6 – 2.6 = 4 – 2.6 Subtract 2.6 from each side. LM = 1.4 Simplify.

Lesson 2 Ex4 Find Measurements B. Find XZ.

Lesson 2 Ex4 Find Measurements

Lesson 2 Ex4 Find Measurements C. Find x and ST if T is between S and U, ST = 7x, SU = 45, and TU = 5x – 3. ST + TU = SU 7x + 5x – 3 = 45 Substitute known values. 7x + 5x – 3 + 3 = 45 + 3 Add 3 to each side. 12x = 48 Simplify. x = 4 Simplify.

Lesson 2 Ex4 Find Measurements ST = 7x Given = 7(4) x = 4 = 28 Multiply. Answer: x = 4, ST = 28

A. Find SE. A. B. C. D. A B C D Lesson 2 CYP4

Lesson 2 CYP4 B. Find ON. A. 4.2 cm B. 3.7 cm C. 4.7 cm D. 2.1 cm A B

Lesson 2 CYP4 C. Find a if AB = 4a + 10, BC = 3a – 5, and AC = 19.

Lesson 2 KC1

Lesson 3 MI/Vocab Find the distance between two points. Find the midpoint of a segment. midpoint segment bisector

Lesson 3 KC1

Lesson 3 Ex1 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

Lesson 3 CYP1 Use the number line to find AX. A. 2 B. –8 C. –2 D. 8 A

Lesson 3 Ex2 Find Distance on a Coordinate Plane Find the distance between E(–4, 1) and F(3, –1). Method 1 Pythagorean Theorem Use the gridlines to form a triangle so you can use the Pythagorean Theorem.

Lesson 3 Ex2 Find Distance on a Coordinate Plane .

Lesson 3 Ex2 Find Distance on a Coordinate Plane Method 2 Distance Formula

Lesson 3 Ex2 Find Distance on a Coordinate Plane

Lesson 3 CYP2 Find the distance between A(–3, 4) and M(1, 2). A. 4 B.

Lesson 3 KC2

Lesson 3 Ex3 Find Coordinates of Midpoint ALGEBRA The coordinates on a number line of J and K are –12 and 16, respectively. Find the coordinate of the midpoint of a = –12, b = 16 Answer: 2

A. –4 B. –8 C. 4 D. 22 A B C D Lesson 3 CYP3

Lesson 3 Ex4 Find Coordinates of Midpoint Answer: (–3, 3)

A. (–10, –6) B. (–5, –3) C. (6, 12) D. (–6, –12) A B C D Lesson 3 CYP4

Lesson 3 Ex5 Find Coordinates of Endpoint Write two equations to find the coordinates of D.

Lesson 3 Ex5 Find Coordinates of Endpoint Answer: The coordinates of D are (–7, 11).

Lesson 3 CYP5 A. (3.5, 1) B. (–10, 13) C. (15, –1) D. (17, –11) A B C

Lesson 3 Ex6 Use Algebra to Find Measures

Lesson 3 Ex6 Use Algebra to Find Measures Use this equation and the algebraic measures to find a value for x.

Interactive Lab: Archeology and the Coordinate Plane Lesson 3 Ex6 Use Algebra to Find Measures Interactive Lab: Archeology and the Coordinate Plane

A. 1 B. 3 C. 5 D. 10 A B C D Lesson 3 CYP6