Answer: Yes
Step-by-step explanation:
Since ABCD is a rectangle, , , , and are all right angles, and are thus all congruent because all right angles are congruent. Furthermore, because ABCD is a rectangle, we know that and . Because we are given that X, Y, Z, and W are midpoints, using the fact that halves of congruent segments are congruent, we can conclude that and that . As a result, we can conclude that by SAS, and thus by CPCTC, . Therefore, since the quadrilateral formed by the midpoints has four congruent sides, it must be a rhombus.
Answer:
Step-by-step explanation:
We want to simplify:
Recall the Pythagorean Identity:
So:
Substitute:
Factor. We can use the difference of two squares pattern:
Cancel. Hence:
Answer:
Step-by-step explanation:
Slope of the line is determined by
The rise can be calculated by taking the y coordinates of 2 points and subtracting them.
The run can be calculated by taking the x coordinates of 2 points and subtracting them.
so
slope =
Answer:
i'm not sure if this all correct
Step-by-step explanation:
part A you start at 8 from the first participant then you take away one from the last one. you add up all the numbers up to get the answer. 8+7+6+5+4+3+2+1=36.
part B the first part is 1x1x1x1x1x1x1x1=1. the second part is 8x7x6x5x4x3x2x1= 40,320. the third part is 1/40320
Answer:
Answer Question 1:
Blank 1: Corresponding
Blank 2: congruent
Blank 3: similar
Blank 4: proportional
Question 2:
Blank 1: shape
Blank 2: size.
Step-by-step explanation:
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