1. The diagram below shows rectangle RSTU with two diagonals drawn. (6х- 15)° To find the value of x, Justin wrote the following steps. 1. m 2 STR + m Z RTU = 90° 2. m 2 RTU = 27° 3. 6х - 15 - 27 4. 6x = 42 5. х 7 Which statement can be used to justify the first step? The alternate interior angles formed by the diagonals are congruent. The diagonals of a rectangle are congruent. Opposite angles in a rectangle are congruent. The angles at each vertex of the rectangle are right angles.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter4: Quadrilaterals
Section4.3: The Rectangle, Square, And Rhombus
Problem 42E: a Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three...
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Which statement can be used to justify the 1st stepp.
1. The diagram below shows rectangle RSTU with two diagonals drawn.
(6х- 15
To find the value of x, Justin wrote the following steps.
1. m 2 STR + m Z RTU = 90°
2. m Z RTU = 27°
3. 6х - 15 - 27
4. бх 3 42
5. x =7
Which statement can be used to justify the first step?
O The alternate interior angles formed by the diagonals are congruent.
The diagonals of a rectangle are congruent.
Opposite angles in a rectangle are congruent.
The angles at each vertex of the rectangle are right angles.
Transcribed Image Text:1. The diagram below shows rectangle RSTU with two diagonals drawn. (6х- 15 To find the value of x, Justin wrote the following steps. 1. m 2 STR + m Z RTU = 90° 2. m Z RTU = 27° 3. 6х - 15 - 27 4. бх 3 42 5. x =7 Which statement can be used to justify the first step? O The alternate interior angles formed by the diagonals are congruent. The diagonals of a rectangle are congruent. Opposite angles in a rectangle are congruent. The angles at each vertex of the rectangle are right angles.
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