'Find segment lengths' presentation slideshows

WARM UP!

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Drill: Tuesday, 9/6

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Outline

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1.3 Use midpoint and distance formulas You will find lengths of segments in the coordinate plane

1.3 Use midpoint and distance formulas You will find lengths of segments in the coordinate plane Essential question: How do you find the distance and the midpoint between two points in the coordinate plane?. Skateboard.

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Math 1 Warm-ups 1-8-09

Math 1 Warm-ups 1-8-09. Fire stations are located at A and B. XY , which contains Havens Road, represents the perpendicular bisector of AB . A fire is reported at point X. Which fire station is closer to the fire? Explain. Math 1 Warm-ups 1-9-09.

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7.5

7.5. ESSENTIAL QUESTION: How do you use the Triangle Proportionality Theorem and its C onverse in solving missing parts?. Theorem 7.4 Triangle Proportionality Theorem.

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5-3

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Objective

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Homework Answers

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In the skateboard design, VW bisects XY at point T , and XT = 39.9 cm . Find XY .

Skateboard. In the skateboard design, VW bisects XY at point T , and XT = 39.9 cm . Find XY. Point T is the midpoint of XY . So , XT = TY = 39.9 cm. EXAMPLE 1. Find segment lengths. SOLUTION. XY = XT + TY. Segment Addition Postulate. = 39.9 + 39.9. Substitute. = 79.8 cm.

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Warm Up Section 3.5 Find x : 1. 2. 3.

Warm Up Section 3.5 Find x : 1. 2. 3. 4. 5. 6. x o. 104 o. 30 o. 101 o. x o. x o. 80 o. 56 o. x o. 100 o. 39 o. x o. x o. 110 o. 102 o. 110 o. 100 o.

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6.6

6.6. Find Segment Lengths in Circles. C. A. E. D. B. Theorem 6.16 Segments of Chords. If two chords intersect in the interior of a circle, then the product of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord. 6.6.

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Warm Up Solve each proportion. 1. 2. 3. 4.

Warm Up Solve each proportion. 1. 2. 3. 4. Objectives. Use properties of similar triangles to find segment lengths. Apply proportionality and triangle angle bisector theorems. It is given that , so by the Triangle Proportionality Theorem.

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Apply properties of medians of a triangle. Apply properties of altitudes of a triangle.

Objectives. Apply properties of medians of a triangle. Apply properties of altitudes of a triangle. A median of a triangle is a segment whose endpoints are a vertex of the triangle and the midpoint of the opposite side. Every triangle has three medians, and the medians are concurrent.

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In the skateboard design, VW bisects XY at point T , and XT = 39.9 cm . Find XY .

Skateboard. In the skateboard design, VW bisects XY at point T , and XT = 39.9 cm . Find XY. Point T is the midpoint of XY . So , XT = TY = 39.9 cm. EXAMPLE 1. Find segment lengths. SOLUTION. XY = XT + TY. Segment Addition Postulate. = 39.9 + 39.9. Substitute. = 79.8 cm.

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In the skateboard design, VW bisects XY at point T , and XT = 39.9 cm . Find XY .

Skateboard. In the skateboard design, VW bisects XY at point T , and XT = 39.9 cm . Find XY. Point T is the midpoint of XY . So , XT = TY = 39.9 cm. EXAMPLE 1. Find segment lengths. SOLUTION. XY = XT + TY. Segment Addition Postulate. = 39.9 + 39.9. Substitute. = 79.8 cm.

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In the skateboard design, VW bisects XY at point T , and XT = 39.9 cm . Find XY .

Skateboard. In the skateboard design, VW bisects XY at point T , and XT = 39.9 cm . Find XY. Point T is the midpoint of XY . So , XT = TY = 39.9 cm. EXAMPLE 1. Find segment lengths. SOLUTION. XY = XT + TY. Segment Addition Postulate. = 39.9 + 39.9. Substitute. = 79.8 cm.

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