Question

An artist designed a badge for a school club. Figure ABCD on the coordinate grid below shows the shape of the badge:

A trapezoid ABCD drawn on a 4−quadrant coordinate grid with vertices A(−8, 5), B(−5, 5), C(−6, 7) and D(−7, 7). Point M located at (−2, −3) and point J located at (−4, −7)

The badge is enlarged and plotted on the coordinate grid as figure JKLM with point J located at (−4, −7) and point M located at (−2, −3).

Which of these could be the coordinates for point L?

(−1, −7)
(3, −7)
(0, −3)
(2, −3)

Answer 1

@jim_thompson5910 The last option is wrong. I took the quiz before. I don't see how the other answers makes sense.

Answer 2

What is the distance from D to C?

Answer 3

1 unit

Answer 4

yes

Answer 5

What is the distance from A to D?

Answer 6

2.23607

Answer 7

yes or sqrt(5)

Answer 8

now tell me the distance from J to M

Answer 9

About 4

Answer 10

So the ratio is a 1:2 ratio

Answer 11

So that means that is (0, −3)

Answer 12

you should get 2*sqrt(5)

so yes, JM is twice as long as AD

Answer 13

which means ML is going to be twice as long as DC

Answer 14

(0,-3) is correct

Answer 15

Are the following figures similar?

Rectangles ABCD and EFGH are shown. AB equals 5. BC equals 25. EF equals 3. FG equals 15.

Yes; the corresponding angles are congruent
No; the corresponding angles are not congruent
Yes; the corresponding sides are proportional
No; the corresponding sides are not proportional

Answer 16

C i think

Answer 17

divide the corresponding sides to find out

Answer 18

The sides are proportional. I already calculated that. I was just wondering about the angles. Is it because we can't assume they are 90 degrees even though we know they are 90 degrees, so we cant say that are congruent without them giving the measures to us.

Answer 19

we don't have to worry about the angles. All four angles are equal to 90 for each, so the angles are all the same

Answer 20

two rectangles are only similar if and only if the corresponding sides are proportional