Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
3/7/2017 Prebell Congruent Figures • Congruent (≅) Figures – have the same size and shape; corresponding angles and sides have equal measures WB p. 187 # 5 – Corresponding Angles – angles that match – Corresponding Sides – sides that match The figures are congruent. • Identify corresponding sides and angles. Tell whether the two figures are congruent. Explain your reasoning. 1. Answer the question 2. What do you know about the topic? 3. Connect what you know to the problem. The figures are congruent. a. What is the length of side CD? b. Which angle of KLMN corresponds to ∠𝐵? c. What is the perimeter of ABCD? The fronts of the houses are identical. WB p. 24 a) What is the length of side 𝐿𝑀? b) Which angle of 𝐽𝐾𝐿𝑀𝑁 corresponds to ∠𝐷? c) Side 𝐴𝐵 is congruent to side 𝐴𝐸. What is the length of side 𝐴𝐵? d) What is the perimeter of 𝐴𝐵𝐶𝐷𝐸? 1 3/7/2017 Rigid Transformations Sequence of Transformations • Are used to prove congruency: – Translations (direction and number of units) • (𝑥, 𝑦) → (𝑥 + 𝑎, 𝑦 + 𝑏) – Reflections (line of reflection) • Across 𝑦 – axis: (𝑥, 𝑦) → (−𝑥, 𝑦) • Across 𝑥 – axis: (𝑥, 𝑦) → (𝑥, −𝑦) – Rotations (direction and angle of rotation) • 90° CCW: 𝑥, 𝑦 → −𝑦, 𝑥 • 180°: (𝑥, 𝑦) → (−𝑥, −𝑦) • 90° CW: (𝑥, 𝑦) → (𝑦, −𝑥) Two figures are congruent if one can be obtained from the other by a sequence of translations, reflections, and rotations. Identify a sequence of transformations that will transform figure 𝐴 into figure 𝐵. • Which transformation(s) change the orientation of figures? • Which do not? • Two figures have the same size and shape. What does this indicate about the figures? Identify a sequence of transformations that will transform figure 𝐵 into figure 𝐶. 2