Math Games

Year 8 - Measurement and Geometry

Standard 8.MD.1.2 - Relate corresponding parts of identical shapes.

Included Skills:

Geometric reasoning
• Define congruence of plane shapes using transformations
- understanding the properties that determine congruence of triangles and recognising which transformations create congruent figures
- establishing that two figures are congruent if one shape lies exactly on top of the other after one or more transformations (translation, reflection, rotation), and recognising that the matching sides and the matching angles are equal
• Develop the conditions for congruence of triangles
- investigating the minimal conditions needed for the unique construction of triangles, leading to the establishment of the conditions for congruence (SSS, SAS, ASA and RHS)
- solving problems using the properties of congruent figures
- constructing triangles using the conditions for congruence
• Establish properties of quadrilaterals using congruent triangles and angle properties, and solve related numerical problems using reasoning
- establishing the properties of squares, rectangles, parallelograms, rhombuses, trapeziums and kites
- identifying properties related to side lengths, parallel sides, angles, diagonals and symmetry