IM Geometry U1L20 Transformations, Transversals, and Proof

20.1 Figure A
What is the measure of angle x, in degrees? (Just type the number.)
20.1 Figure B
What is the measure of angle x, in degrees? (Just type the number.)
20.1 Figure C
What is the measure of angle x, in degrees? (Just type the number.)
20.1 Figure D
What is the measure of angle x, in degrees? (Just type the number.)
20.2
Translate lines AE and CD by the directed line segment from B to C. The image points should be labeled appropriately as A', B', etc.[br][br]This is easiest if you set yourself up to translate all points at once.[br][br]STEPS TO DO THIS:[br]1) Draw a vector from B to C.[br]2) Click the transformations button and select the "translate by vector" tool.[br]3) Click and drag to highlight ALL points on both lines.[br]4) Click the vector from B to C to complete the translation.[br]5) Use the line tool to draw line A'E'.
[list=1][*]What is true about lines AE and A'E'? [br][/*][/list]
Explain your reasoning.
Identify congruent angles. For each pair of congruent angles that you find, explain how you know the angles are congruent.
20.3
Rotate line AE by 180° around point C. The image points should be labeled appropriately as A', B', etc.[br][br]It is a little tricky to get the applet to cooperate for this, so we will need to rotate each point one at a time![br][br]STEPS TO DO THIS:[br]1) Click the transformations button and select the "rotate around point" tool.[br]2) Click point A, then point C. This will rotate point A around center C. Enter the angle (180 degrees).[br]3) Click point B, then point C. This will rotate point B around center C. Enter the angle (180 degrees).[br]4) Click point D, then point C. This will rotate point D around center C. Enter the angle (180 degrees).[br]5) Click point E, then point C. This will rotate point E around center C. Enter the angle (180 degrees).[br]6) Use the line tool to draw line A'E'.
[list=1][*]What is true about lines AB and A'B'? [br][/*][/list]
Explain your reasoning.
Identify congruent angles. For each pair of congruent angles that you find, explain how you know the angles are congruent.
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