'Bd bd' diaporamas de présentation

5.4 Use medians and altitudes

5.4 Use medians and altitudes. Objective: You will use medians and altitudes of triangles. Median of a triangle:. A segment from a vertex to the midpoint of the opposite side.

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Warmup

In triangle ABC, answer the following questions: What side is opposite angle A? What angle is opposite side AB? What angle is included between sides AC and BC? What side is included between angles A and C? What is another way to write angle C?. Warmup. B. A. C.

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Warm Up

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Quadrilaterals

Quadrilaterals. Information. What is a quadrilateral?. A quadrilateral is a four-sided polygon. A quadrilateral is the polygon with the fewest number of sides that allows for it to be a concave polygon (where one of the interior angles is greater than 180 degrees).

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EXAMPLE 1

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Proving Triangles Congruent

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Proving Triangles Congruent

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Apply SSS and SAS to construct triangles and solve problems.

Objectives. Apply SSS and SAS to construct triangles and solve problems. Prove triangles congruent by using SSS and SAS. Mark each figure with any additional information, then determine whether the triangles are congruent by SSS or SAS. 1. 2. SAS. SSS. 4. 3. SSS. SAS.

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EXAMPLE 3

EXAMPLE 3. Find the orthocenter. Find the orthocenter P in an acute, a right, and an obtuse triangle. SOLUTION. Right triangle P is on triangle. Acute triangle P is inside triangle. Obtuse triangle P is outside triangle.

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EXAMPLE 3

EXAMPLE 3. Find the orthocenter. Find the orthocenter P in an acute, a right, and an obtuse triangle. SOLUTION. Right triangle P is on triangle. Acute triangle P is inside triangle. Obtuse triangle P is outside triangle.

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Warm Up

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Geometry/Trig 2 Name __________________________ 4-1 CPCTC Date ___________________________

Geometry/Trig 2 Name __________________________ 4-1 CPCTC Date ___________________________ Definition of Congruent: ___________________________________________________ ______________________________________________________________________

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