(8) Inquiry lab - Investigate Congruent Triangles

1. Course 3, Inquiry Lab before Lesson 7-2
WHICH three pairs of corresponding
parts can be used to show that two
triangles are congruent?
Geometry

2. Geometry
Course 3, Inquiry Lab before Lesson 7-2 Common Core State Standards © Copyright 2010. National Governors Association Center for Best
Practices and Council of Chief State School Officers. All rights reserved.
• 8.G.2
Understand that a two-dimensional figure is congruent to another if the
second can be obtained from the first by a sequence of rotations,
reflections, and translations; given two congruent figures, describe a
sequence that exhibits the congruence between them.
Mathematical Practices
1 Make sense of problems and persevere in solving them.
3 Construct viable arguments and critique the reasoning of others.

3. Course 3, Inquiry Lab before Lesson 7-2
Geometry
Activity 1
Continued

Copy the sides of the triangle shown onto a
piece of patty paper and cut them out.
In this Activity you will investigate whether it is possible
to show that two triangles are congruent without showing
that all six pairs of corresponding parts are congruent.

4. Course 3, Inquiry Lab before Lesson 7-2
Geometry
Activity 1
Continued

Arrange and tape the pieces together so that
they form a triangle.
In this Activity you will investigate whether it is possible
to show that two triangles are congruent without showing
that all six pairs of corresponding parts are congruent.

5. In this Activity you will investigate whether it is possible
to show that two triangles are congruent without showing
that all six pairs of corresponding parts are congruent.
Is the triangle you formed congruent to the original
triangle? Explain.
Rotate the triangle you formed 180°. Is the triangle
congruent to the original triangle? Explain.
Try to form another triangle with the given sides. Is it
congruent to the original triangle?
Course 3, Inquiry Lab before Lesson 7-2
Geometry

6. Course 3, Inquiry Lab before Lesson 7-2
Geometry
Activity 2
Continued

Draw a triangle on a piece of patty paper. Copy
each angle of the triangle onto a separate piece of
patty paper. Extend each side of each angle to the
edge of the patty paper.

7. Course 3, Inquiry Lab before Lesson 7-2
Geometry
Activity 2
Continued

Arrange and tape the pieces together so that they
form a triangle.

8. Is the triangle you formed congruent to the original triangle?
Explain.
Try to form another triangle with the given angles. Is it congruent
to the original triangle?
A counterexample disproves a statement by showing an example
of when the statement is not true. Based on this activity, is the
following statement true? If not, provide a counterexample.
If the angles of one triangle are congruent to the angles of
another triangle, the two triangles are congruent.
Course 3, Inquiry Lab before Lesson 7-2
Geometry

9. Course 3, Inquiry Lab before Lesson 7-2
WHICH three pairs of corresponding
parts can be used to show that two
triangles are congruent?
Geometry