Use the figure to answer the questions.

(a) what additional information is needed to prove the triangles are congruent by sas postulate? explain.

(b) what additional information is needed to prove the triangles are congruent by the hl theorem? explain.

Part (a) segment AC is congruent to segment JL

Part (b) segment BC congruent to segment KL

Step-by-step explanation:

(a) SAS is side-angle-side

You know that angle A and angle J are right angles, so they are congruent. You also know sides AB and JK are congruent. That gives you side-angle. You need side-angle-side, so you need the next pair of corresponding sides, so you need sides AC and JL

Part (a) segment AC is congruent to segment JL

(b) HL is hypotenuse-leg

Becasue both triangles have a right angle, they are right triangles. Sides AB and JK are congruent corresponding legs of two right triangles. To use the HL theorem, you need a pair of congruent legs, which you already have, and the hypotenuses must be congruent.

Part (b) segment BC congruent to segment KL

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1

d

gimmee one of those gold crowns!

~coco