Lesson 12: Congruent Polygons | Unit 1: Rigid Transformations and Congruence

Draw

Show that the two pentagons in the following image are congruent by demonstrating on the image.

Multiple Choice

What is the length of side AB in pentagon ABCDE?

• 3
• 1
• 2
• 4

Open Ended

For the given pair of quadrilaterals, decide whether or not the two shapes are congruent. Explain your reasoning.

Open Ended

For the given pair of figures, decide whether or not the two shapes are congruent. Explain your reasoning.

Open Ended

For the given pair of circles, decide whether or not the two shapes are congruent. Explain your reasoning.

Multiple Choice

Which sequence of transformations shows that the triangles are congruent?

• Rotate triangle ABC around point B, then reflect across line BF.
• Reflect triangle ABC across line AE, then rotate around point B.
• Rotate triangle ABC around point A, then reflect across line DE.
• Translate triangle ABC to point D, then rotate around point F.

Multiple Choice

Which criterion can be used to show that the two triangles are congruent?

• Side-Side-Side (SSS) criterion
• Angle-Angle-Angle (AAA) criterion
• Side-Angle-Side (SAS) criterion
• Angle-Side-Angle (ASA) criterion

Multiple Choice

What are the side lengths of triangle $$DEF$$ and the angle measures of triangle $$ABC$$ ?

• Side lengths of triangle DEF: DE = 1.5, EF = 2.5, DF = 3.5; Angle measures of triangle ABC: 45°, 45°, 90°.
• Side lengths of triangle DEF: DE = 3.0, EF = 4.0, DF = 5.0; Angle measures of triangle ABC: 60°, 60°, 60°.
• Side lengths of triangle DEF: DE = 2.0, EF = 3.0, DF = 4.0; Angle measures of triangle ABC: 30°, 60°, 90°.
• Side lengths of triangle DEF: DE = 2.5, EF = 3.5, DF = 4.5; Angle measures of triangle ABC: 90°, 34.7°, 55.3°.