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Splash Screen.

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Presentation on theme: "Splash Screen."— Presentation transcript:

1 Splash Screen

2 Five-Minute Check (over Lesson 10–5) NGSSS Then/Now New Vocabulary
Theorem 10.12 Example 1: Use Intersecting Chords or Secants Theorem 10.13 Example 2: Use Intersecting Secants and Tangents Theorem 10.14 Example 3: Use Tangents and Secants that Intersect Outside a Circle Example 4: Real-World Example: Apply Properties of Intersecting Secants Concept Summary: Circle and Angle Relationships Lesson Menu

3 A B Determine whether BC is tangent to the given circle. A. yes B. no
___ A. yes B. no A B 5-Minute Check 1

4 A B Determine whether QR is tangent to the given circle. A. yes B. no
___ A. yes B. no A B 5-Minute Check 2

5 Find x. Assume that segments that appear to be tangent are tangent.
C. 12 D. 13 A B C D 5-Minute Check 3

6 Find x. Assume that segments that appear to be tangent are tangent.
C. 20 D. A B C D 5-Minute Check 4

7 A B C D SL and SK are tangent to the circle. Find x. A. 1 B. C. 5
___ A. 1 B. C. 5 D. 44 __ 5 2 A B C D 5-Minute Check 5

8 MA.912.G.6.4 Determine and use measures of arcs and related angles.
MA.912.G.6.2 Define and identify: circumference, radius, diameter, arc, arc length, chord, secant, tangent and concentric circles. MA.912.G.6.4 Determine and use measures of arcs and related angles. Also addresses MA.912.G.6.3. NGSSS

9 You found measures of segments formed by tangents to a circle
You found measures of segments formed by tangents to a circle. (Lesson 10–5) Find measures of angles formed by lines intersecting on or inside a circle. Find measures of angles formed by lines intersecting outside the circle. Then/Now

10 secant Vocabulary

11 Concept

12 A. Find x. Theorem 10.12 Substitution Simplify. Answer: x = 82
Use Intersecting Chords or Secants A. Find x. Theorem 10.12 Substitution Simplify. Answer: x = 82 Example 1

13 B. Find x. Step 1 Find mVZW. Theorem 10.12 Substitution Simplify.
Use Intersecting Chords or Secants B. Find x. Step 1 Find mVZW. Theorem 10.12 Substitution Simplify. Example 1

14 WZX = 180 – VZW Definition of supplementary angles
Use Intersecting Chords or Secants Step 2 Find mWZX. WZX = 180 – VZW Definition of supplementary angles x = 180 – 79 Substitution x = 101 Simplify. Answer: x = 101 Example 1

15 Subtract 25 from each side.
Use Intersecting Chords or Secants C. Find x. Theorem 10.12 Substitution Multiply each side by 2. Subtract 25 from each side. Answer: x = 95 Example 1

16 A. Find x. A. 92 B. 95 C. 98 D. 104 A B C D Example 1

17 B. Find x. A. 92 B. 95 C. 97 D. 102 A B C D Example 1

18 C. Find x. A. 96 B. 99 C. 101 D. 104 A B C D Example 1

19 Concept

20 Substitute and simplify.
Use Intersecting Secants and Tangents A. Find mQPS. Theorem 10.13 Substitute and simplify. Answer: mQPS = 125 Example 2

21 B. Theorem 10.13 Substitution Multiply each side by 2. Answer:
Use Intersecting Secants and Tangents B. Theorem 10.13 Substitution Multiply each side by 2. Answer: Example 2

22 A. Find mFGI. A. 98 B. 108 C D A B C D Example 2

23 B. A. 99 B C. 162 D. 198 A B C D Example 2

24 Concept

25 A. Theorem 10.14 Substitution Multiply each side by 2.
Use Tangents and Secants that Intersect Outside a Circle A. Theorem 10.14 Substitution Multiply each side by 2. Example 3

26 Subtract 141 from each side.
Use Tangents and Secants that Intersect Outside a Circle Subtract 141 from each side. Multiply each side by –1. Example 3

27 B. Theorem 10.14 Substitution Multiply each side by 2.
Use Tangents and Secants that Intersect Outside a Circle B. Theorem 10.14 Substitution Multiply each side by 2. Example 3

28 Use Tangents and Secants that Intersect Outside a Circle
Add 140 to each side. Example 3

29 A. A. 23 B. 26 C. 29 D. 32 A B C D Example 3

30 B. A. 194 B. 202 C. 210 D. 230 A B C D Example 3

31 Theorem 10.14 Substitution Apply Properties of Intersecting Secants
Example 4

32 Subtract 96 from each side.
Apply Properties of Intersecting Secants Multiply each side by 2. Subtract 96 from each side. Multiply each side by –1. Example 4

33 A. 25 B. 35 C. 40 D. 45 A B C D Example 4

34 Concept

35 End of the Lesson

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