As their spacecraft approached a rotating orbital station, Emek and Tara received a navigation display filled with layered geometric diagrams. The diagrams showed intersecting approach paths, reference angles, parallel docking corridors, and measured distances between key points around the station. Rather than relying on a single measurement, they combined several geometric relationships to determine the only trajectory that satisfied every constraint while avoiding the station's rotating structures. After verifying their construction and calculations on the display, they guided the spacecraft along the selected path. The docking maneuver was completed smoothly, and the mission continued without incident.
Challenges
Challenge 1 of 5
Challenges
Challenge 1 of 4
Hint
Recall the relationship between corresponding angles formed by a transversal crossing parallel lines.
Two parallel docking corridors are cut by a navigation path. One corresponding angle measures 68°. What is the measure of the corresponding angle at the second intersection?
68°112°90°136°Correct! Corresponding angles formed by parallel lines are equal.
Review the properties of corresponding angles created by a transversal.
Next🎉 Congrats! You got this question!
Hint
Use the Pythagorean Theorem.
On the navigation display, a right triangle represents part of the docking path. Two sides have lengths 9 units and 12 units. What is the length of the hypotenuse?
Correct! The hypotenuse is 15 units.
Square the two legs, add the results, and then take the square root.
Next🎉 Congrats! You got this question!
Hint
Use the triangle angle sum and the properties of an isosceles triangle.
The navigation display shows triangle ABC with AB = AC. If ∠A = 40°, which statement correctly describes the base angles?
Each base angle is 40°.Each base angle is 70°.One base angle is 60° and the other is 80°.Each base angle is 140°.Correct! The remaining 140° is shared equally between the two base angles.
Remember that the base angles of an isosceles triangle are equal and all three angles sum to 180°.
Next🎉🎉🎉🎉🎉🎉🎉🎉
🎉 Congrats! You finished this challenge set!
Yörünge İstasyonuna Kenetlenme Geometrisi
TR
ARC_G12_GM_01_STORY_01
Yörünge İstasyonuna Kenetlenme Geometrisi



