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3 years ago

Which triangles are congruent by ASA?

Mathematics

2 answers:

svetoff [14.1K]3 years ago

7 0

The second option ADV and EDA

MrRissso [65]3 years ago

3 0

Answer: ΔABE ≅ ΔDEA

Step-by-step explanation:

From the given picture, In Δ ACE we have AC= CE

Then, ∠A=∠E (1) [∵Angles opposite to equal angles of a triangle are equal.]

Also, it is given that ∠B=∠D=90° [Right angle]

Now, Consider ΔABE and ΔDEA

Here,

∠A=∠E [From (1)]

AE=AE [By Reflexive property]

∠B=∠D=90° [given]

Then, by ASA congruence postulate , ΔABE ≅ ΔDEA

ASA postulate says that if two angles and the included side of one triangle are congruent to the corresponding two angles and the included side of other triangle, then the triangles are congruent.

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sleet_krkn [62]

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3 years ago

3. Diego drew a scaled version of a Polygon P and labeled it Q.

bogdanovich [222]

Answer:

The scale factor used to go from P to Q is 1/4

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z ----> the scale factor

x -----> area of polygon Q

y -----> area of polygon P

$z^{2}=\frac{x}{y}$

we have

$y=72\ units^2$

Find the area of polygon Q

Divide the the area of polygon Q in two triangles and three squares

The area of the polygon Q is equal to the area of two triangles plus the area of three squares

see the attached figure N 2

Find the area of triangle 1

$A=(1/2)(1)(2)=1\ units^2$

Find the area of three squares (A2,A3 and A4)

$A=3(1)^2=3\ units^2$

Find the area of triangle 5

$A=(1/2)(1)(1)=0.5\ units^2$

The area of polygon Q is

$x=1+3+0.5=4.5\ units^2$

Find the scale factor

$z^{2}=\frac{x}{y}$

we have $y=72\ units^2$

$x=4.5\ units^2$

substitute and solve for z

$z^{2}=\frac{4.5}{72}$

$z^{2}=\frac{1}{16}$

square root both sides

$z=\frac{1}{4}$

therefore

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3 years ago

2. How many solutions does each equation

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Answer:

2 solution

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2 years ago

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pychu [463]

Answer:

The answer to your question is y = 4/6x - 4

Step-by-step explanation:

Data

m = 4/6

P (0, -4)

slope-intercept form = ? y = mx + b where m is the slope and

b is the y-intercept

Formula

y - y1 = m(x - x1)

Substitution

y - (-4) = 4/6(x - 0)

Simplification

y + 4 = 4/6x

Result

y = 4/6x - 4

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g100num [7]

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Step-by-step explanation:

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