Drag and drop the correct answer into each box to complete the proof. given: rectangle abcd

Step-by-step explanation:

Given: Rectangle ABCD

To prove: AC is congruent to BD that is AC≅BD.

Proof:

Statements                                                         Reason

1.Rectangle ABCD                                               Given

2. AD≅BC                      Opposite sides of rectangle are congruent

3. DC≅DC                                                 Reflexive property

4. ∠ADC and ∠BCD are right angles               ∠ADC≅∠BCD

5. ΔACD≅ΔBCD                                           SAS rule of congruency

6. AC≅BD.                                                       By CPCTC

Hence proved.

Going in order of box:

AB congruent to DC

reflexive property

angles of a rectangle are right angles

angle ADC congruent angle BCD

AC congruent BD

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

.95

step-by-step explanation: