Course 3, Inquiry Lab before Lesson 7-3
HOW are two triangles related if
they have the same shape but
different sizes?
Geometry
Geometry
Course 3, Inquiry Lab before Lesson 7-3 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.4
Understand that a two-dimensional figure is similar to another if the
second can be obtained from the first by a sequence of rotations,
reflections, translations, and dilations; given two similar two-dimensional
figures, describe a sequence that exhibits the similarity between them.
Mathematical Practices
1 Make sense of problems and persevere in solving them.
3 Construct viable arguments and critique the reasoning of others.
Course 3, Inquiry Lab before Lesson 7-3
Geometry
Activity 1
Continued

Measure and record the
lengths of the line segments
in millimeters and angles
in degrees in the table.
What do you notice about the measure of the
corresponding angles of the triangles?
To determine if there is a relationship
between the two triangles, use the
diagram shown.
Course 3, Inquiry Lab before Lesson 7-3
Geometry
Express the lengths of the
corresponding sides of the
triangles as ratios.
What do you notice about the ratios of the
corresponding sides of the triangles?
To determine if there is a relationship
between the two triangles, use the
diagram shown.
LP LQ PQ
LM LN MN
  
Course 3, Inquiry Lab before Lesson 7-3
HOW are two triangles related if
they have the same shape but
different sizes?
Geometry

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(8) Inquiry Lab - Similar Triangles

  • 1. Course 3, Inquiry Lab before Lesson 7-3 HOW are two triangles related if they have the same shape but different sizes? Geometry
  • 2. Geometry Course 3, Inquiry Lab before Lesson 7-3 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.4 Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar two-dimensional figures, describe a sequence that exhibits the similarity 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 7-3 Geometry Activity 1 Continued  Measure and record the lengths of the line segments in millimeters and angles in degrees in the table. What do you notice about the measure of the corresponding angles of the triangles? To determine if there is a relationship between the two triangles, use the diagram shown.
  • 4. Course 3, Inquiry Lab before Lesson 7-3 Geometry Express the lengths of the corresponding sides of the triangles as ratios. What do you notice about the ratios of the corresponding sides of the triangles? To determine if there is a relationship between the two triangles, use the diagram shown. LP LQ PQ LM LN MN   
  • 5. Course 3, Inquiry Lab before Lesson 7-3 HOW are two triangles related if they have the same shape but different sizes? Geometry