Which parallelograms have perpendicular diagonals? rectangle, rhombus square, rhombus square, rectangle none.

Mathematics

1 answer:

Artist 52 [7]3 years ago

4 0

<h3>Answer: Rhombus and square</h3>

Explanation:

Any rhombus has its diagonals meet at 90 degree angles. The proof for this is a bit lengthy, so I'll let you handle it. The basic idea is to draw in the diagonals, which forms smaller triangles. Proving those triangles to be congruent leads to supplementary congruent angles, which in turn leads to the 90 degree angles needed.

A square is a special type of rhombus where all four angles are the same (each 90 degrees). Put another way, a square is both a rectangle and a rhombus at the same time.

Some rectangles are not squares, so the non-square rectangles will have the diagonals not be perpendicular.

You might be interested in

What is the equivalent fraction of 60/98

scoray [572]

$\frac{60}{98}=\frac{60:2}{98:2}=\boxed{\frac{30}{49}}\\\\\frac{60}{98}=\frac{60\cdot2}{98\cdot2}=\boxed{\frac{120}{196}}\\\\\frac{60}{98}=\frac{60\cdot3}{98\cdot3}=\boxed{\frac{180}{294}}\\\vdots\\\frac{60}{98}=\frac{60\cdot10}{98\cdot10}=\boxed{\frac{600}{980}}\\\vdots$

7 0

3 years ago

Select strong association, weak association, or moderate association to correctly classify the correlation coefficient.

11Alexandr11 [23.1K]

Answers:

0.45 is a moderate association

0.95 and -0.8 are both strong association

0.10 is weak association

Explanation:

This is the interpreation of the correltaion coefficient:

1) The correlaion coefficient assesses the relationship between two variables in a scatter plot.

2) If the sign of the correlation coefficient is positive means that the two variables trend to grow or decrease in the same sense. This is an uphill line or curve: if variable X grows, variable Y grows, and if variable X decreases variable Y grows.

If the sign of the correlation coefficient is negative means that the two variables go in opposite direction. This is a downhill line or curve.

3) A correlation coefficient of +1 or -1 is a perfect association. The two variables are totally associated.

4) A correlation coefficient less that +1 but greater than 0.7 is a strong association. The same with a coefficite between - 0.7 and -1.

5) A correlation coefficient arroun +0.5 or -0.5 is a moderate association.

6) A correlation coefficient of 0 is a nill association.

7) A correlation coeffiicient between 0 and 0.3 is a weak association. The same when the correlation coefficient is between -3 and 0.

4 0

4 years ago

Read 2 more answers

It takes Lara 1/3 hour to walk to the library 3/4 mile away. What is her walking pace?

11111nata11111 [884]

3/4 mile/ (1/3 hr)= 2.25 miles/hr.

Her walking pace is 2.25 miles/hr~

6 0

3 years ago

What is the area of 16 inches and 3 feet in square meters

Artyom0805 [142]

You just multiply 16 and 3 and it gives you 58

3 0