- “If Maria uses these dimensions, and moves the plot five units to the left and three units down, what will the
coordinates of her neighbor’s garden be?” - Students can work on this problem in pairs or individually.
- Have the students draw out the coordinate grid with the two triangles on them.
- Allow time for the students to share their work when finished.
- Extension- students can transfer these triangles to measurement. For example, they could use 1 foot for every
one unit on the coordinate grid.
III.MeetingObjectives
- Students will use the distance formula to plot the triangle on the coordinate grid.
- Students will draw Congruent Triangles on the coordinate grid.
- Students will use the distance formula when converting units to feet in the extension.
IV.NotesonAssessment
- Were the students able to follow the directions accurately?
- Is the triangle in the correct location?
- Here is the solution graph. It is Figure04.03.01
Triangle Congruence Using ASA and AAS
I.SectionObjectives
- Understand and apply the ASA Congruence Postulate.
- Understand and apply the AAS Congruence Postulate.
- Understand and practice two- column proofs.
- Understand and practice flow proofs.
II.ProblemSolvingActivity-DoubleTriangles
- For this activity, there is the preparation of each student drawing a small triangle to work with.
- Then have the students work in groups. The students need to choose two of the triangles that have been drawn
to work with. - Then, the students need to draw two triangles that are congruent to the selected triangles.
- This means that each group will have two pairs of Congruent Triangles.
- Each team will have two pairs of students on it. Each pair selects one set of Congruent Triangles to work with.
5.4. Congruent Triangles