Kayla wants to find the distance, ab, across a river. she walks along the edge of the river 100 ft and marks point c. then she walks 100 ft further and marks point d. she turns 90° and walks until her location, point a, and point c are collinear. she marks point e at this location, as shown. (a can kayla conclude that abc and edc are congruent? why or why not?
(b) suppose de=175 ft. what can kayla conclude? explain.

The triangles ABC and EDC are congruent by ASA rule.

Step-by-step explanation:

Given Kayla walks along the edge of the river 100 ft and marks point C. Then she walks 100 ft further and marks point D. She turns 90° and walks until her location, point A, and point C are collinear. She marks point E at this location. we have to find the distance AB.

In ΔABC and ΔEDC

∠EDC=∠ABC    (each 90)

CD=CB              (given)

∠DCE=∠BCA    (vertical angles)

By ASA rule, ΔABC≅ΔEDC

Now, given DE=175 ft

If two triangles are congruent then these are similar, then the ratio of its corresponding sides is equal and its corresponding angles are congruent

By triangle proportionality,

⇒

⇒ AB=175 ft.

Length of DE is same as AB

hard

step-by-step explanation: