Question

According to the given information, quadrilateral RECT is a rectangle. By the definition of a rectangle, all four angles measure 90°. Segment ER is parallel to segment CT and segment EC is parallel to segment RT by the Converse of the Same-Side Interior Angles Theorem. Quadrilateral RECT is then a parallelogram by definition of a parallelogram. Now, construct diagonals ET and CR. Because RECT is a parallelogram, opposite sides are congruent. Therefore, one can say that segment ER is congruent to segment CT. Segment TR is congruent to itself by the Reflexive Property of Equality. The __________

Answer 1

@nincompoop

Answer 2

According to the given information, quadrilateral RECT is a rectangle. By the definition of a rectangle, all four angles measure 90°. Segment ER is parallel to segment CT and segment EC is parallel to segment RT by the Converse of the Same-Side Interior Angles Theorem. Quadrilateral RECT is then a parallelogram by definition of a parallelogram. Now, construct diagonals ET and CR. Because RECT is a parallelogram, opposite sides are congruent. Therefore, one can say that segment ER is congruent to segment CT. Segment TR is congruent to itself by the Reflexive Property of Equality. The _______________ says triangle ERT is congruent to triangle CTR. And because corresponding parts of congruent triangles are congruent (CPCTC), diagonals ET and CR are congruent.

Which of the following completes the proof?

Angle-Side-Angle (ASA) Theorem
Hypotenuse-Leg (HL) Theorem
Side-Angle-Side (SAS) Theorem
Side-Side-Side (SSS) Theorem

Answer 3

@Avengedslipknot
@BigJJRob @Christos @Dbzfan836 @Elsa213 @Gokuporter

Answer 4

hmmm

Answer 5

Alright

Answer 6

thankgod

Answer 7

Before we begin, what can you get from the text above?

Answer 8

The more you know, the faster this will be.

Answer 9

he left...

Answer 10

3rd - SAS - side angle side - because there given all angles measure 90 degree ,ER congruent CT and TR is common side
- hope this will help you