subject
Mathematics, 04.07.2019 19:00 gabegabemm1

Spencer wrote the following paragraph proof showing that rectangles are parallelograms with congruent diagonals. quadrilateral r e c t is shown with right angles at each of the four corners. segments e r and c t have single hash marks indicating they are congruent while segments e c and r t have two arrows indicating they are parallel. segments e t and c r are drawn. 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 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? alternate interior angles theorem converse of the alternate interior angles theorem converse of the same-side interior angles theorem same-side interior angles theorem

ansver
Answers: 2

Another question on Mathematics

question
Mathematics, 21.06.2019 13:10
When eating out, record the total cost of your meal (before tip) and the tip that you left. determine the percent of the cost of the meal that you left as a tip.
Answers: 1
question
Mathematics, 21.06.2019 16:30
Hi my sisters and brothers can tell me the answer because i don’t understand the question
Answers: 1
question
Mathematics, 21.06.2019 20:00
The boiling point of water at an elevation of 0 feet is 212 degrees fahrenheit (°f). for every 1,000 feet of increase in elevation, the boiling point of water decreases by about 2°f. which of the following represents this relationship if b is the boiling point of water at an elevation of e thousand feet? a) e = 2b - 212 b) b = 2e - 212 c) e = -2b + 212 d) b = -2e + 212
Answers: 1
question
Mathematics, 21.06.2019 21:30
Zack notices that segment nm and segment pq are congruent in the image below: which step could him determine if δnmo ≅δpqr by sas? (5 points) segment mo ≅ segment qr segment on ≅ segment qp ∠ n ≅ ∠ r ∠ o ≅ ∠ q
Answers: 3
You know the right answer?
Spencer wrote the following paragraph proof showing that rectangles are parallelograms with congruen...
Questions
question
Mathematics, 26.12.2021 02:40