LESSON 10 5 Tangents FiveMinute Check over Lesson
- Slides: 27
LESSON 10– 5 Tangents
Five-Minute Check (over Lesson 10– 4) TEKS 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
Over Lesson 10– 4 Refer to the figure. Find m 1. A. 60 B. 55 C. 50 D. 45
Over Lesson 10– 4 Refer to the figure. Find m 2. A. 30 B. 25 C. 20 D. 15
Over Lesson 10– 4 Refer to the figure. Find m 3. A. 35 B. 30 C. 25 D. 20
Over Lesson 10– 4 Refer to the figure. Find m 4. A. 120 B. 100 C. 80 D. 60
Over Lesson 10– 4 find x if m A = 3 x + 9 and m B = 8 x – 4. A. 10 B. 11 C. 12 D. 13
Over Lesson 10– 4 The measure of an arc is 95°. What is the measure of an inscribed angle that intercepts it? A. 47. 5° B. 95° C. 190° D. 265°
Targeted TEKS G. 12(A) Apply theorems about circles, including relationships among angles, radii, chords, tangents, and secants, to solve non-contextual problems. Mathematical Processes G. 1(A), G. 1(E)
You used the Pythagorean Theorem to find side lengths of right triangles. • Use properties of tangents. • Solve problems involving circumscribed polygons.
• tangent • point of tangency • common tangent
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.
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.
A. Copy the figure and draw the common tangents to determine how many there are. If no common tangent exists, choose no common tangent. A. 2 common tangents B. 4 common tangents C. 6 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. A. 2 common tangents B. 3 common tangents C. 4 common tangents D. no common tangents
Identify a Tangent Test to see if ΔKLM is a right triangle. 2 2 ? 20 + 21 = 292 841 = 841 Answer: Pythagorean Theorem Simplify.
A. B.
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 + 32 x + 256 Multiply. 320 = 32 x 10 = x Answer: x = 10 Simplify. Divide each side by 32.
A. 6 B. 8 C. 10 D. 12
Use Congruent Tangents to Find Measures AC = BC 3 x + 2 = 4 x – 3 Tangents from the same exterior point are congruent. Substitution 2= x– 3 Subtract 3 x from each side. 5= x Add 3 to each side. Answer: x = 5
A. 5 B. 6 C. 7 D. 8
Find Measures in Circumscribed Polygons Step 1 Find the missing measures.
Find Measures in Circumscribed Polygons Step 2 Find the perimeter of ΔQRS. = 10 + 2 + 8 + 6 + 10 or 36 cm Answer: So, the perimeter of ΔQRS is 36 cm.
A. 42 cm B. 44 cm C. 48 cm D. 56 cm
LESSON 10– 5 Tangents
- 10-6 secants tangents and angles
- Behavior check in check out sheet
- Check in check out forms
- Check in check out behavior intervention
- Check in check out system for students
- Where is the check number on a cashier's check
- Character generation methods in computer graphics
- Check in checkout
- Check in and check out intervention
- Quickchek menu
- Endorsement
- Check my progress vocabulary check
- Can you sign over a check to someone else
- Over the mountains over the plains
- Siach reciting the word over and over
- Taking over navigational watch
- Properties of tangents to a circle
- 10-5 tangents
- Internal tangents
- Two tangents intersecting outside the circle
- Node cusp and conjugate point
- Segment lengths intersecting chords secants and tangents
- Blood spatter analysis worksheet
- Angles formed by chords, tangents, secants
- Segment lengths in circles formulas
- Common external tangent
- Goupille cavalier
- Projected pattern blood