Classifying Triangles and Triangle Properties

Identify, draw, and define fundamental geometric primitives including points, lines, segments, rays, parallel and perpendicular lines, midpoints, and bisectors.

Understand angles as circular turns, measure and construct angles using a protractor and set square, and classify angles from acute to full revolutions.

Solve additive angle decomposition problems involving adjacent angles, angles on straight lines, angles around a point, and vertically opposite angles.

Classify triangles by both side lengths and angle measures, understand that triangle interior angles sum to 180°, and solve for missing angles.

Classify quadrilaterals based on side, angle, and parallel relationships, explore polygon classifications, and derive quadrilateral angle sums.

Identify and define key parts of a circle including center, radius, diameter, and chord, understand the relationship d = 2r, and construct circles.

Identify and draw line symmetry and rotational symmetry in 2D shapes, complete symmetrical figures across mirror lines, and recognize translations.

Plot and read coordinates in the first quadrant, navigate using 8 compass bearings and clock-face directions, and complete geometric polygons on coordinate planes.

Classify 3D solids, analyze faces, edges, vertices, cross-sections, and unfolding nets, and construct composite 3D shapes from multiple viewing perspectives.