Question

segment ca is drawn below. using a compass and straightedge, construct isosceles right triangle cat where ca⊥ct and ca≅ct. leave all construction marks.

Explanation:

Step1: Construct a perpendicular at point C

Place the compass at point C. Draw arcs that intersect segment CA at two points. Then, from these two intersection - points, draw arcs of equal radius above and below segment CA. Use the straightedge to draw a perpendicular line to segment CA at point C.

Step2: Mark off equal lengths

Set the compass width to the length of segment CA. Place the compass at point C on the perpendicular line and mark off a point T such that CT = CA.

Step3: Complete the triangle

Use the straightedge to connect points A and T.

Answer:

The isosceles right - triangle CAT is constructed as described above with CA⊥CT and CA = CT, leaving all construction marks.