- standard
Prove geometric theorems
- 9th - 12th Grade
- Michigan State Math Standards
- Geometry: Congruence
Prove theorems about parallelograms. Theorems include: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram…
- standard
Prove geometric theorems
- 9th - 12th Grade
- Michigan State Math Standards
- Geometry: Congruence
Prove theorems about triangles. Theorems include: measures of interior angles of a triangle sum to 180 degrees; base angles…
- standard
Understand congruence in terms of rigid motions
- 9th - 12th Grade
- Michigan State Math Standards
- Geometry: Congruence
Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms…
- standard
Understand congruence in terms of rigid motions
- 9th - 12th Grade
- Michigan State Math Standards
- Geometry: Congruence
Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and…
- standard
Understand congruence in terms of rigid motions
- 9th - 12th Grade
- Michigan State Math Standards
- Geometry: Congruence
Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion…
- standard
Experiment with transformations in the plane
- 9th - 12th Grade
- Michigan State Math Standards
- Geometry: Congruence
Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper, tracing…
- standard
Experiment with transformations in the plane
- 9th - 12th Grade
- Michigan State Math Standards
- Geometry: Congruence
Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments.
- standard
Experiment with transformations in the plane
- 9th - 12th Grade
- Michigan State Math Standards
- Geometry: Congruence
Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself.