Lesson 1 4 Measuring Segments Mr A 82420

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Lesson 1 -4 “Measuring Segments” Mr. A 8/24/20 Layton Christian Academy

Lesson 1 -4 “Measuring Segments” Mr. A 8/24/20 Layton Christian Academy

Use the number line to find QR. The coordinates of Q and R are

Use the number line to find QR. The coordinates of Q and R are – 6 and – 3. Distance Formula Simplify. Answer: 3

Use the number line to find AX. Answer: 8

Use the number line to find AX. Answer: 8

Find the distance between E(– 4, 1) and F(3, – 1). Method 1 Pythagorean

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.

Pythagorean Theorem Simplify. Take the square root of each side.

Pythagorean Theorem Simplify. Take the square root of each side.

Method 2 Distance Formula Simplify. Answer: The distance from E to F is units.

Method 2 Distance Formula Simplify. Answer: The distance from E to F is units. You can use a calculator to find that is approximately 7. 28.

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

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

The coordinates on a number line of J and K are – 12 and

The coordinates on a number line of J and K are – 12 and 16, respectively. Find the coordinate of the midpoint of. The coordinates of J and K are – 12 and 16. Let M be the midpoint of . Simplify. Answer: 2

Find the coordinates of M, the midpoint of for G(8, – 6) and H(–

Find the coordinates of M, the midpoint of for G(8, – 6) and H(– 14, 12). Let G be and H be Answer: (– 3, 3) . ,

a. The coordinates on a number line of Y and O are 7 and

a. The coordinates on a number line of Y and O are 7 and – 15, respectively. Find the coordinate of the midpoint of. Answer: – 4 b. Find the coordinates of the midpoint of for X(– 2, 3) and Y(– 8, – 9). Answer: (– 5, – 3)

Find the coordinates of D if E(– 6, 4) is the midpoint of and

Find the coordinates of D if E(– 6, 4) is the midpoint of and F has coordinates (– 5, – 3). Let F be in the Midpoint Formula. Write two equations to find the coordinates of D.

Solve each equation. Multiply each side by 2. Add 5 to each side. Multiply

Solve each equation. Multiply each side by 2. Add 5 to each side. Multiply each side by 2. Add 3 to each side. Answer: The coordinates of D are (– 7, 11).

Find the coordinates of R if N(8, – 3) is the midpoint of and

Find the coordinates of R if N(8, – 3) is the midpoint of and S has coordinates (– 1, 5). Answer: (17, – 11)

Multiple-Choice Test Item What is the measure of if Q is the midpoint of

Multiple-Choice Test Item What is the measure of if Q is the midpoint of A B 4 C D 9 ?

Read the Test Item You know that Q is the midpoint of , and

Read the Test Item You know that Q is the midpoint of , and the figure gives algebraic measures for and. You are asked to find the measure of. Solve the Test Item Because Q is the midpoint, you know that . Use this equation and the algebraic measures to find a value for x.

Now substitute for x in the expression for PR. Original measure Simplify. Answer: D

Now substitute for x in the expression for PR. Original measure Simplify. Answer: D

Multiple-Choice Test Item What is the measure of if B is the midpoint of

Multiple-Choice Test Item What is the measure of if B is the midpoint of A 1 Answer: B B 3 C 5 D 10 ?

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