Mathematics, 05.11.2020 03:10 veronica25681

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 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 Side-Angle-Side (SAS) Theorem 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? (6 points)

segment ET is parallel to segment RT
segment EC is parallel to segment RT
segment ER is congruent to segment CT
segment ET is congruent to segment CR

Answers: 1

Show answers

Another question on Mathematics

Mathematics, 21.06.2019 20:30

If m∠abc = 70°, what is m∠abd? justify your reasoning. using the addition property of equality, 40 + 70 = 110, so m∠abd = 110°. using the subtraction property of equality, 70 − 30 = 40, so m∠abd = 30°. using the angle addition postulate, 40 + m∠abd = 70. so, m∠abd = 30° using the subtraction property of equality. using the angle addition postulate, 40 + 70 = m∠abd. so, m∠abd = 110° using the addition property of equality.

Answers: 2

Answer

Mathematics, 22.06.2019 01:30

Talia took the bus from her home to the bank and then walked back to her home along the same route. the bus traveled at an average speed of 40 km/h and she walked at an average speed of 5 km/h. to determine the time, x, that it took talia to walk home, she used the equation 40(0.9 – x) = 5x. the time of trip 2 is hours. the distance of trip 1 is km.

Answers: 1

Answer

Mathematics, 22.06.2019 01:30

Amayoral candidate would like to know her residents’ views on a tax on sugar drinks before the mayoral debates. she asks one thousand registered voters from both parties. these voters are an example of a census population convenience sample simple random sample

Answers: 1

Answer

Mathematics, 22.06.2019 02:00

The half-life of a certain material is 0.004 second. approximately how much of a 20-gram sample will be left after 0.016 second? a. 5 grams b. 16 grams c. 0.32 gram d. 1.25 grams

Answers: 3

Answer

You know the right answer?

According to the given information, quadrilateral RECT is a rectangle. By the definition of a rectan...

Questions

Mathematics, 01.02.2021 08:50

There are 15 risers in a set of stairs running from the basement to the first floor. Each riser is 7 1/4" high. What is the distance between floors?...

Mathematics, 01.02.2021 08:50

There are every actors in ok? (imagine). If they ask a question like hi fans how are you or they inbox you. how would you fee?...

Mathematics, 01.02.2021 08:50

5. George walks to a friend's house. He walks 750 meters North, then realizes he walked too far. He turns around and walks 250 meters South. The enti...