1. Five-Minute Check (over Lesson 10-4) Main Ideas and Vocabulary
Targeted TEKS
Key Concept: The Distance Formula
Example 1: Distance Between Two Points
Example 2: Use the Distance Formula to Solve a Problem
Example 3: Find a Missing Coordinate
Lesson 5 Menu

2. Find the distance between two points on the coordinate plane.
Find a point that is a given distance from a second point on a plane.
Distance Formula
Lesson 5 MI/Vocab

3. Key Concept 10-5a

4. Distance Between Two Points
Find the distance between the points at (1, 2) and (–3, 0).
Distance Formula
(x1, y1) = (1, 2) and (x2, y2) = (–3, 0)
Simplify.
Evaluate squares and simplify.
Answer:
Lesson 5 Ex1

5. Find the distance between the points at (5, 4) and (0, –2).
A. 29 units
B. 61 units
C units
D. 10 units A B C D
Lesson 5 CYP1

6. BIATHLON Julianne is sighting her rifle for an upcoming biathlon competition. Her first shot is 2 inches to the right and 7 inches below the bull’s- eye. What is the distance between the bull’s-eye and where her first shot hit the target?
Model the situation. If the bull’s-eye is at (0, 0), then the location of the first shot is (2, –7). Use the Distance Formula.
Lesson 5 Ex2

7. Distance Formula (x1, y1) = (0, 0) and (x2, y2) = (2, –7) Simplify.
Answer:
Lesson 5 Ex2

8. HORSESHOES Marcy is pitching a horseshoe in her local park
HORSESHOES Marcy is pitching a horseshoe in her local park. Her first pitch is 9 inches to the left and 3 inches below the pin. What is the distance between the horseshoe and the pin?
A. 9 in
B. 3 in
C. 12 in
D in A B C D
Lesson 5 CYP2

9. Find a Missing Coordinate
Find the value of a if the distance between the points at (2, –1) and (a, –4) is 5 units.
Distance Formula
Let d = 5, x2 = a, x1 = 2, y2 = –4, and y1 = –1
Simplify.
Evaluate squares.
Simplify.
Lesson 5 Ex3

10. Find a Missing Coordinate
25 = a2 – 4a + 13 Square each side.
0 = a2 – 4a – 12 Subtract 25 from each side.
0 = (a – 6)(a + 2) Factor.
a – 6 = 0 or a + 2 = 0 Zero Product Property
a = a = –2 Solve. The value of a is –2 or 6.
Answer: –2 or 6
Lesson 5 Ex3

11. Find the value of a if the distance between the points at (2, 3) and (a, 2) is units.
A. –4 or 8
B. 4 or –8
C. –4 or –8
D. 4 or 8 A B C D
Lesson 5 CYP3