Download Identify the three basic rigid transformations - cguhs

STUDENT COMPETENCY
EXAM STUDY GUIDE
CASA GRANDE UNION HIGH SCHOOL DISTRICT #82
Geometry 2
“Excellence is a better teacher than mediocrity. The lessons of the
ordinary are everywhere. Truly profound and original insights are to be
found only in studying the exemplary.”
-Warren G. Bennis
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Geometry 2 Study Guide for Competency Test
All mathematic skills listed below can be found by searching for them on the Internet. The district may not provide
textbook as the ownership belongs to you to know or learn these concepts. Please take the time to review all concepts
listed below as they will be tested on the mathematics competency exam.
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Identify the three basic rigid transformations.
Use transformations in real-life situations.
Identify and use transformations in a plane.
Identify relationships between reflections and line symmetry.
Identify rotations in a plane.
Use rotational symmetry in real-life.
Identify and use translations in the plane.
Use vectors in real-life situations.
Identify glide reflections in a plane.
Represent transformations as compositions of simpler
transformations.
Use transformations to classify frieze patterns.
Use frieze patterns to design border patterns in real-life.
Find and simplify the ratio of two numbers.
Use proportions to solve real-life problems.
Use properties of proportions.
Identify similar polygons.
Use similar polygons to solve real-life problems.
Identify similar triangles.
Use similar triangles in real-life problems.
Use similarity theorems to prove that two triangles are similar.
Use proportionality theorems to calculate segment lengths.
Identify dilations.
Use properties of dilations to create real-life perspective
drawings.
Solve problems involving similar right triangles formed by the
altitude drawn to the hypotenuse of a right triangle.
Use a geometric mean to solve problems.
Prove the Pythagorean Theorem.
Use the Pythagorean Theorem to solve real-life problems.
Use the converse of the Pythagorean Theorem to solve
problems.
Use side-lengths to classify triangles by their angle measures.
Find the side lengths of special right triangles.
Use special right triangles to solve real-life problems.
Find the sine, cosine, and the tangent of an acute angle.
Use trigonometric ratios to solve real-life problems.
Measure distances indirectly.
Solve a right triangle.
Use right triangles to solve real-life problems.
Find the magnitude and the direction of a vector.
Add vectors.
Model real-life motion.
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Identify segments and lines related to circles.
Use properties of a tangent to a circle.
Use properties of arcs of circles.
Use properties of chord of circles.
Use inscribed angles to solve problems.
Use properties of inscribed polygons.
Use angles formed by tangents and chords to solve problems in
geometry.
Use angles formed by lines that intersect a circle to solve
problems.
Find the lengths of segments of chords.
Find the lengths of segments of tangents and secants.
Write the equation of a circle.
Draw the locus of points that satisfy two or more conditions.
Use the equation of a circle and its graph to solve problems.
Draw the locus of points that satisfy a given condition.
Find the measure of interior and exterior angles of polygons
Use measures of angles of polygons to solve real-life problems
Find the area of an equilateral triangle
Find the area of a regular polygon
Compare perimeters and areas of similar figures
Apply understanding of perimeters and areas of similar figures to
solve real-life problems
Find the Circumference of a Circle and the length of a Circular
Arc
Use Circumference and Arc to determine distances
Find the area of a circle and a sector of a circle
Estimate the likelihood that an event will occur
Use properties of polyhedra.
Use Euler’s Theorem to solve real-life situations.
Find the surface area of a prism.
Find the surface area of a cylinder.
Find the surface area of a pyramid.
Find the surface area of a cone.
Use the volume postulates.
Find the volume of prisms and cylinders in real-life applications.
Find the volume of pyramids and cones.
Find the volume of pyramids and cones in real-life situations.
Find the surface area of a sphere.
Find the volume of a sphere in real-life.
Find the scale factors of similar solids.
Use the scale factors of similar solids.
Use similar solids to solve real-life problems.
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