# Course Catalog

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• ##### Electives
Geometry Part 2
LI.MAT.301311.2.PE
Course Length: 1 Semester
Has Textbook: Yes
Geometry Part 2 investigates similarity, right triangles and trigonometry, transformations, area, surface area, volume, and circles. A main purpose of the study of geometry is the development of reasoning ability. Geometry Part 2 emphasizes this focus through the use of technology, problem solving, and critical thinking.
It is recommended that students successfully complete Geometry Part 1 or equivalent course work before enrolling in this course.

Course Objectives

Unit 1: Essential Content and Skills

• Write ratios and solve proportions.
• Use AA, SAS, and SSS similarity statements and relationships in similar right triangles.
• Apply the Side-Splitter Theorem and Triangle-Angle-Bisector Theorem.
• Employ the properties of
• Use sine, cosine, and tangent ratios to determine side lengths in triangles.
• Solve problems using angles of elevation and depression.
• Describe vectors and use vector addition.

Unit 2: Essential Content and Skills

• Identify isometries.
• Find translation and reflection images of figures.
• Identify and draw rotation images of figures.
• Recognize the type of symmetry in a figure.
• Locate dilation images of figures and use a composition of reflections.
• Identify transformations in tessellations and figures that will tessellate.
• Find the area of a parallelogram, triangle, trapezoid, rhombus, kite, and regular polygon.

Unit 3: Essential Content and Skills

• Find the perimeters and areas of similar figures and the area of polygons using trigonometry.
• Use the Law of Sines and the Law of Cosines.
• Find circumference, arc length, and the measures of central angles and arcs.
• Discover the area of circles, sectors, and segments of circles.
• Conclude the probability of events.
• Examine space figures and cross sections.
• Determine the surface area of a prism, a cylinder, a pyramid, and a cone.

Unit 4: Essential Content and Skills

• Find the volume of a prism, a cylinder, a pyramid, and a cone as well as the surface area and volume of a sphere.
• Determine relationships between the ratios of the areas and volumes of similar solids.
• Use the relationship between a radius and a tangent and between two tangents from one point.
• Employ congruent chords, arcs, and central angles.
• Locate the measure of an inscribed angle as well as an angle formed by a tangent and a chord.
• Find the measures of angles formed by chords, secants, and tangents, and the lengths of segments associated with circles.
• Write an equation of a circle, find its center and its radius, and draw and describe a locus.

Course Materials

• Prentice Hall Geometry (textbook)

*Available as an iText course

**NCAA approved