splash screen. lesson menu five-minute check (over lesson 10–4) then/now new vocabulary example...
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![Page 1: Splash Screen. Lesson Menu Five-Minute Check (over Lesson 10–4) Then/Now New Vocabulary Example 1:Identify Common Tangents Theorem 10.10 Example 2:Identify](https://reader035.vdocuments.site/reader035/viewer/2022062500/56649d785503460f94a5a8d1/html5/thumbnails/1.jpg)
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Five-Minute Check (over Lesson 10–4)
Then/Now
New Vocabulary
Example 1: Identify Common Tangents
Theorem 10.10
Example 2: Identify a Tangent
Example 3: Use a Tangent to Find Missing Values
Theorem 10.11
Example 4: Use Congruent Tangents to Find Measures
Example 5: Real-World Example: Find Measures in Circimscribed Polygons
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Over Lesson 10–4
A. 60
B. 55
C. 50
D. 45
Refer to the figure. Find m1.
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Over Lesson 10–4
A. 30
B. 25
C. 20
D. 15
Refer to the figure. Find m2.
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Over Lesson 10–4
A. 35
B. 30
C. 25
D. 20
Refer to the figure. Find m3.
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Over Lesson 10–4
A. 120
B. 100
C. 80
D. 60
Refer to the figure. Find m4.
![Page 7: Splash Screen. Lesson Menu Five-Minute Check (over Lesson 10–4) Then/Now New Vocabulary Example 1:Identify Common Tangents Theorem 10.10 Example 2:Identify](https://reader035.vdocuments.site/reader035/viewer/2022062500/56649d785503460f94a5a8d1/html5/thumbnails/7.jpg)
Over Lesson 10–4
A. 10
B. 11
C. 12
D. 13
find x if mA = 3x + 9 and mB = 8x – 4.
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Over Lesson 10–4
A. 47.5°
B. 95°
C. 190°
D. 265°
The measure of an arc is 95°. What is the measure of an inscribed angle that intercepts it?
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You used the Pythagorean Theorem to find side lengths of right triangles. (Lesson 8–2)
• Use properties of tangents.
• Solve problems involving circumscribed polygons.
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• tangent
• point of tangency
• common tangent
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Identify Common Tangents
A. Copy the figure and draw the common tangents. If no common tangent exists, state no common tangent.
Answer: These circles have no common tangents. Any tangent of the inner circle will intercept the outer circle in two points.
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Identify Common Tangents
B. Copy the figure and draw the common tangents. If no common tangent exists, state no common tangent.
Answer: These circles have 2 common tangents.
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A. 2 common tangents
B. 4 common tangents
C. 6 common tangents
D. no common tangents
A. Copy the figure and draw the common tangents to determine how many there are. If no common tangent exists, choose no common tangent.
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A. 2 common tangents
B. 3 common tangents
C. 4 common tangents
D. no common tangents
B. Copy the figure and draw the common tangents to determine how many there are. If no common tangent exists, choose no common tangent.
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Identify a Tangent
Test to see if ΔKLM is a right triangle.
?202 + 212 = 292 Pythagorean Theorem
841 = 841 Simplify.
Answer:
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A.
B.
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Use a Tangent to Find Missing Values
EW 2 + DW
2 = DE 2 Pythagorean Theorem
242 + x 2 = (x + 16)2 EW = 24, DW = x, and
DE = x + 16
576 + x 2 = x
2 + 32x + 256 Multiply.
320 = 32x Simplify.
10 = x Divide each side by 32.
Answer: x = 10
![Page 19: Splash Screen. Lesson Menu Five-Minute Check (over Lesson 10–4) Then/Now New Vocabulary Example 1:Identify Common Tangents Theorem 10.10 Example 2:Identify](https://reader035.vdocuments.site/reader035/viewer/2022062500/56649d785503460f94a5a8d1/html5/thumbnails/19.jpg)
A. 6
B. 8
C. 10
D. 12
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Use Congruent Tangents to Find Measures
AC = BC Tangents from the same exteriorpoint are congruent.
3x + 2 = 4x – 3 Substitution
2 = x – 3 Subtract 3x from each side.
5 = x Add 3 to each side.
Answer: x = 5
![Page 22: Splash Screen. Lesson Menu Five-Minute Check (over Lesson 10–4) Then/Now New Vocabulary Example 1:Identify Common Tangents Theorem 10.10 Example 2:Identify](https://reader035.vdocuments.site/reader035/viewer/2022062500/56649d785503460f94a5a8d1/html5/thumbnails/22.jpg)
A. 5
B. 6
C. 7
D. 8
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Find Measures in Circumscribed Polygons
Step 1 Find the missing measures.
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Find Measures in Circumscribed Polygons
Step 2 Find the perimeter of ΔQRS.
Answer: So, the perimeter of ΔQRS is 36 cm.
= 10 + 2 + 8 + 6 + 10 or 36 cm
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A. 42 cm
B. 44 cm
C. 48 cm
D. 56 cm
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