Please Help! The figure below shows a square ABCD and an equilateral triangle DPC:

Nick makes the chart shown below to prove that triangle APD is congruent to triangle BPC:

Statements: Justifications

1) In triangles APD and BPC; AP = PB: P is the vertex of the equilateral triangle

2) In triangles APD and BPC; AD = BC: Sides of square ABCD are equal

3) In triangles APD and BPC; angle ADP = angle BCP: Angle ADC = angle BCD = 90° and angle ADP = angle BCP = 90° − 60° = 30°

4) Triangles APD and BPC are congruent: SAS postulate

What is the error in Nick's proof?

A. He uses the SAS postulate instead of AAS postulate to prove the triangles congruent.
B. He assumes that AP = PB because P is the vertex of the equilateral triangle.
C. He uses the SAS postulate instead of SSS postulate to prove the triangles congruent.
D. He writes the measure of angles ADP and BCP as 30° instead of 45°.

exa:

)

3+11

14

step-by-step explanation:

from this example, we can see that subtracting with integers is the same as adding the opposite. we can solve using a number line or by using the saying "keep, change, change" to us solve. it is important to remember that we can subtract a negative and end up with a larger number than we started with.

2/3

step-by-step explanation:

the slope of a line is equal to the rise/run. in this case the line rises 2 units for every +3 units it moves

answer: 0.26

i used the calculator on google

step-by-step explanation:

assume that you have 3 different side lengths.   apply the pythagorean theorem here:   square each of the two shortest sides; call them a and b, so that their squares are a² and b².   also square the longest side, calling the result c².

now, if a² + b² = c² is true, the triangle is a right triangle; otherwise it is not a right triangle.