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74° 38° x° For each circle, find the measure of x
Math II UNIT QUESTION: What special properties are found with the parts of a circle? Standard: MM2G1, MM2G2 Todays Question: How do we find segment lengths in circles? Standard: MM2G3.b
6.6 Segment Lengths in Circles Find the lengths of segments of chords Find the lengths of segments of tangents and secants
a b c d ab = cd
9 2 6 x x = y y = z z = 1 Ex: 1 Solve for x.
Ex: 2 Solve for x x 3x 2x 3x = x 2 = 96 x 2 = 16 x = 4
EAB C D EA EB = EC ED
E A B C D x 7(7 + 13) 4(4 + x) = Ex: 3 Solve for x. 140 = x 124 = 4x x = 31
E A B C D x 6(6 + 8) 5(5 + x) = Ex: 4 Solve for x. 84 = x 59 = 5x x = 11.8
E A B C EA 2 = EB EC
E A B C x 24 2 =12 (12 + x) 576 = x x = 36 Ex: 5 Solve for x.
E A B C 15 5 x x2x2 =5 (5 + 15) x 2 = 100 x = 10 Ex: 6
a b c d ab = cd x x = x x = x x = 1 Example 1:
Ch 10 Question: What special properties are found with the parts of a circle? Todays Question: How do we find segment lengths in circles?
Warm-up Find the measures of angles 1 – 4.
If you prefer to hear the voiceover of this lesson, go to the “Links” tab on my webpage and open up the “Segments of Circles” link.
Bellwork 1) (x+3)(x+7) 2) (2x+4)(x-4) Segment Lengths in Circles.
Sec 10-6 Concept: Segment Lengths in Circles Objective: Given theorems about chords of a circle, find the lengths of segments. Date:
Equations of Circles. Equation of a Circle The center of a circle is given by (h, k) The radius of a circle is given by r The equation of a circle in.
Find Segment Lengths in Circles Lesson Definition When two chords intersect in the interior of a circle, each chord is divided into two segments.
Daily Check. Homework Review UNIT QUESTION: What special properties are found with the parts of a circle? Standard: MMC9-12.G.C.1-5,G.GMD.1-3 Today’s.
10.6 Segment Lengths in Circles 5/11/10. Finding the Lengths of Chords When two chords intersect in the interior of a circle, each chord is divided into.
Daily Check. Homework Review How do you know when two chords are congruent? LP PM ALP = BMP = 90 a.corresponding arcs are congruent A B C D M L P b.
PSSA Preparation. Question 1(no calculator) D Question 2 (no calculator)
Solve Multi-step Equations Students will solve equations with multiple steps (more than two) using distributive property, combining like terms, and inverse.
FACTORING Think Distributive property backwards Work down, Show all steps ax + ay = a(x + y)
Properties of Exponents Examples and Practice. Product of Powers Property How many factors of x are in the product x 3 ∙x 2 ? Write the product as a single.
Test B, 100 Subtraction Facts
Lesson 7-1: The Pythagorean Theorem 1 Lesson 7-1 The Pythagorean Theorem.
For each circle C, find the value of x. Assume that segments that appear to be tangent are. (4 pts each) C 8 x 12 x K T.
CIRCLES Everything you wanted to know and then some!!
Prime and Composite Numbers. These are numbers that have only two factors – themselves and one. These are numbers that have only two factors – themselves.
Squares and Square Root WALK. Solve each problem REVIEW:
Partial Products. Category 1 1 x 3-digit problems.
Factor P (8-5ab) 2. 4(d² + 4) 3. 3rs(2r – s) 4. 15cd(1 + 2cd) 5. 8(4a² + 3b²) 6. 12xy(3y – 4x) 7. 5x²y(6x + 7y) 8. 3cd²(3c² - 2d) 9. 15bc³(5b +
by D. Fisher (2 + 1) + 4 = 2 + (1 + 4) Associative Property of Addition 1.
25 seconds left….. 24 seconds left….. 23 seconds left…..
Math II UNIT QUESTION: What patterns can I find in right triangles? Standard: MM2G1, MM2G2 Today’s Question: How do I find the length of a side of a right.
Sec. 12 – 4 Measures & Segment Lengths in Circles.
Warm-up #3 1. Sin 23 o = 2. Cos 78 o = 3. Tan 42 o = 4. Sin A = 5. Sin B = 6. Cos A = 7. Cos B = 8. Tan A = 9. Tan B = B A.
Time for a BREAK! You have 45 Minutes. Time Left 44.
Vocabulary chord segment secant segment external secant segment tangent segment.
Around the World AdditionSubtraction MultiplicationDivision AdditionSubtraction MultiplicationDivision.
Factoring Grouping (Bust-the-b) Ex. 3x x - 24Ex. 6x 2 + 7x + 2.
Chapter 11 Membrane Structure Essential Cell Biology Third Edition Copyright © Garland Science 2010.
Other Angle Relationships in Circles GEOMETRY SECTION 8 DAY 3.
Other Angle Relationships in Circles Section 10.4 Goal: - To solve problems using angles formed by tangents, chords and lines that intersect a circle.
C1 Sequences and series. Write down the first 4 terms of the sequence u n+1 =u n +6, u 1 =6 6, 12, 18, 24.
Jeopardy Topic 1Topic Q 1Q 6Q 11Q 16Q 21 Q 2Q 7Q 12Q 17Q 22 Q 3Q 8Q 13Q 18Q 23 Q 4Q 9Q 14Q 19Q 24 Q 5Q 10Q 15Q 20Q 25 Final Jeopardy.
GEOMETRY 9.7 Segment Lengths in Circles. Objectives Find the lengths of segments of chords. Find the lengths of segments of tangents and secants.
Special Segments in a Circle Chapter Lesson 7 MI/Vocab Find measures of segments that intersect in the interior of a circle. Find measures of segments.
Basel-ICU-Journal Challenge18/20/ Basel-ICU-Journal Challenge8/20/2014.
Quadratic Equations Solving Quadratic Equations. 7/9/2013 Quadratic Equations 2 Solving Quadratic Equations Standard Form a x 2 + b x + c = 0 with a ≠
and 5. and and
Pg # 7-25 ALL Pg 74 # ALL. -6 |-7 – (-2)| = |-5| = 5 |3 – (-2)| = |5| = 5.
1 Prof. Valter Bezerra Dantas
Addition 1’s to
C Copyright © 2005, Oracle. All rights reserved. Practice Solutions.
Sec. 12 – 4 Measures & Segment Lengths in Circles Objectives: 1) To find the measures of s formed by chords, secants, & tangents. 2) To find the lengths.
4.6 Perform Operations with Complex Numbers. EXAMPLE 1 Solve a quadratic equation Solve 2x = –37. 2x = –37 Write original equation. 2x 2.
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