10. Rhombuses are like squares but with diagonal parallel lines. Parallelograms are like rectangles with diagonal parallel lines. Which one?
19. Set the measure to zero.
1x - 32 = 0
1x -32 +32= 0+32
1x /1 = 32 /1
x = ??
17. I'm not 100% sure how to do this one.
20. Find the slope of WX. Slope formula: (y^2-y^1)/(x^2-x^1)
(0-2)/(3-(-5))
??/??
10. Which of the following quadrilaterals always have diagonals that are congruent. Circle all that apply
Parallelograms
Rectangles
Rhombi
Squares
Isosceles trapezoids
19. Given square ABCD: if the measure of angle ACB = (1x - 32) degrees, find the value of x. Round to the nearest tenth
17. Given rhombus DEFG: if GE = 42 and DH = 16, find GF
20. WXZY is a quadrilateral with W locates at (-5, 2) and Xoxated at (3, 0). What must be the slope of segment ZY in order for WXYZ to be a parallelogram
2 answers
Man, you need to brush up on your geometry before providing answers.
10. The only ones that have congruent diagonals are
Rectangles
Squares (since they are rectangles!)
Isosceles trapezoids
Draw some of the others and it is easy to see they do not qualify
19. The diagonals of a square bisect the corner angles. Thus, angle ACB is 45 degrees.
So, set
1x-32 = 45
x = 77
I suspect a typo because
(a) the result is an integer, so no rounding needed
(b) who says "1x" ?
17.
DH? Where is H? If you meant DF=16, then since the diagonals are perpendicular, you have 4 congruent right triangles with sides 21 and 8. GF is the hypotenuse of one of these, with length
√(8^2+21^2) = √505 = 22.47
20.
WX has slope (0-2)/(3+5) = -1/4
YZ must also have that slope, if it is parallel
But that will not necessarily make it a parallelogram, unless its length is also that of WX.
10. The only ones that have congruent diagonals are
Rectangles
Squares (since they are rectangles!)
Isosceles trapezoids
Draw some of the others and it is easy to see they do not qualify
19. The diagonals of a square bisect the corner angles. Thus, angle ACB is 45 degrees.
So, set
1x-32 = 45
x = 77
I suspect a typo because
(a) the result is an integer, so no rounding needed
(b) who says "1x" ?
17.
DH? Where is H? If you meant DF=16, then since the diagonals are perpendicular, you have 4 congruent right triangles with sides 21 and 8. GF is the hypotenuse of one of these, with length
√(8^2+21^2) = √505 = 22.47
20.
WX has slope (0-2)/(3+5) = -1/4
YZ must also have that slope, if it is parallel
But that will not necessarily make it a parallelogram, unless its length is also that of WX.
2 answers