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4 years ago

Why do you think you can prove congruency with SSS but not with AAA Property. Explain your answer with figures.

Mathematics

1 answer:

Anettt [7]4 years ago

4 0

In AAA (Angle-Angle-Angle), triangles do not have the same size and only have 3 pairs of congruent angles.

In SSS (Side-Side-Side), if the three sides of one triangle are equal to the three sides of another triangle, the triangles are congruent.

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PART A: Mrs. konsdorf claims that angle R is a right angle.Is Mrs. konsdorf correct? explain your reasoning PART B: if T is trab

Anna007 [38]

Answer:

Part A: Angle R is not a right angle.

Part B; Angle GRT' is a right angle.

Step-by-step explanation:

Part A:

From the given figure it is noticed that the vertices of the triangle are G(-6,5), R(-3,1) and T(2,6).

Slope formula

$m=\frac{y_2-y_1}{x_2-x_1}$

The product of slopes of two perpendicular lines is -1.

Slope of GR is

$\text{Slope of GR}=\frac{1-5}{-3-(-6)}=\frac{-4}{3}$

Slope of RT is

$\text{Slope of RT}=\frac{6-1}{2-(-3)}=\frac{5}{5}=1$

Product of slopes of GR and RT is

$\frac{-4}{3}\times 1=\frac{-4}{3}\neq -1$

Therefore lines GR and RT are not perpendicular to each other and angle R is not a right angle.

Part B:

If vertex T translated by rule

$(x,y)\rightarrow(x-1,y-2)$

Then the coordinates of T' are

$(2,6)\rightarrow(2-1,6-2)$

$(2,6)\rightarrow(1,4)$

Slope of RT' is

$\text{Slope of RT'}=\frac{4-1}{1-(-3)}=\frac{3}{4}$

Product of slopes of GR and RT' is

$\frac{-4}{3}\times \frac{3}{4}=-1$

Since the product of slopes is -1, therefore the lines GR and RT' are perpendicular to each other and angle GRT' is a right angle.

6 0

3 years ago

Determine the exact values of the six trigonometric functions of the real number t

NeTakaya

Di uh e u dhehrrvhrhrhrhrgr u ej

4 0

3 years ago

Read 2 more answers

Eva and her children went into a restaurant and where they sell

Sever21 [200]

Answer:

5 hotdogs and 2 tacos

Step-by-step explanation:

7 0

3 years ago

How many pounds does 6.5 dozen cupcakes weigh?<br> • 1 cupcake = 35.3 grams

melisa1 [442]

Answer:

35.3g * 78 =2,753.4g

2,753.4g = 6.07lbs

6 0

3 years ago

Which is greater: inches in a mile or seconds in a day? Show how you know.

MrMuchimi

Assuming you don't know the exact numbers, we can sequentially figure out the number of inches in a mile and seconds in a day

Inches in a mile:

There are 5280 feet in a mile.

5280*12 = 63360 inches in a mile

Seconds in a day:

There are 24 hours in a day

There are 24*60 = 1440 minutes in a day

There are 1440*60 = 86400 seconds in a day

There are more seconds in a day than inches in a mile.

4 0

4 years ago