A baseline assessment for high school geometry could include the following topics:
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Basic geometric shapes: Identify and name different types of polygons, including triangles, quadrilaterals, pentagons, hexagons, etc.
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Angle relationships: Identify and classify different types of angles, such as acute, obtuse, right, straight, and vertical angles.
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Triangle properties: Understand and apply properties of triangles, including the sum of interior angles, the Pythagorean theorem, and the triangle inequality theorem.
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Congruence and similarity: Identify and apply properties of congruent and similar figures, including corresponding angles and sides.
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Perimeter and area: Calculate the perimeter and area of various polygons, including triangles, rectangles, squares, and circles.
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Circles: Understand and apply properties of circles, including radius, diameter, circumference, and area.
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Transformations: Identify and perform translations, reflections, rotations, and dilations on geometric figures.
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Coordinate geometry: Understand and apply the distance formula, midpoint formula, and slope formula to solve problems involving lines and points on a coordinate plane.
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Volume and surface area: Calculate the volume and surface area of three-dimensional figures, including prisms, pyramids, cylinders, cones, and spheres.
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Proofs: Understand and construct geometric proofs using deductive reasoning and properties of geometric figures.
These topics cover the fundamental concepts and skills in high school geometry and can serve as a starting point for assessing students’ knowledge and understanding in the subject.
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