All categories

3 years ago

If ∠ABE = 100° and ∠EDC = 100°, are the two triangles, ΔABE and ΔEDC similar? If so, by what criterion?

Mathematics

2 answers:

ipn [44]3 years ago

6 0

Answer:

a) yes, by AA criterion

Step-by-step explanation:

If two angles in a triangle are congruent to two angles in another triangle then the two triangles are congruent. ∠ABE ≈ ∠EDC since they have the same measure. ∠BEA ≈ ∠CED since they are vertical angles. Since two angles are congruent, then you can conclude yes, by AA criterion

Arturiano [62]3 years ago

3 0

Answer:

No, not possible to tell that the two triangles, ΔABE and ΔEDC are similar

Step-by-step explanation:

Similarity criterion:

1. AAA similarity : two triangles are similar if all three angles in the first

triangle equal the corresponding angle in the second triangle

2. AA similarity : If two angles of one triangle are equal to the corresponding angles of the other triangle, then the two triangles are similar.

3. SSS similarity : If the corresponding sides of the two triangles are

proportional, then the two triangles are similar.

4. SAS similarity : In two triangles, if two sets of corresponding sides

are proportional and the included angles are equal then the two

triangles are similar.

Now in the two triangles ABE and EDC :

∠ABE = 100°

∠EDC = 100°

∠ABE = ∠EDC

But only one congruent angle does not not prove that the two triangles are similar.

Hence, NOTHING CAN BE SAID ABOUT THE nature of the triangle.

You might be interested in

Find the diameter of each circle.

Vedmedyk [2.9K]

Answer:

<em>Diameter Length: ( About ) 5.4 km; Option B</em>

Step-by-step explanation:

~ Let us apply the Area of the Circle formula πr^2, where r ⇒ radius of the circle ~

1. We are given that the area of the circle is 22.9 km^2, so let us substitute that value into the area of the circle formula, solving for r ( radius ) ⇒ 22.9 = π * r^2 ⇒ r^2 = 22.9/π ⇒ r^2 = 7.28929639361.... ⇒

<em>radius = ( About ) 2.7</em>

2. The diameter would thus be 2 times that of the radius by definition, and thus is: 2.7 * 2 ⇒ ( About ) 5.4 km

<em>Diameter Length: ( About ) 5.4 km</em>

5 0

3 years ago

I WILL GIVE BRAINLIEST

gtnhenbr [62]

Answer: B
explanation: on y-axis you can see the line touches -8 on graph. for the slope, rise over run could be used 9/9 =1
so y=x-8

7 0

3 years ago

Read 2 more answers

Patrice goes to fishers candy shop with the price of gummy candies modeled by the equation y=5/2x where x is the amount of gummy

icang [17]

Answer:

You need to put the question, but I'll try to help as much as I can without the question. y=5/2x, if you put the amount of gummy candy in lbs in the x's place, and you multiply the amount by 5/2, you will get the price.

Step-by-step explanation:

7 0

3 years ago

The minor arc measures of circle Z are shown in the figure.

DerKrebs [107]

The completed statement are:

Angle UZT is congruent to angle TZY.
Angle VZW is congruent to angle YZX.

<h3>What is the angle about?</h3>

Part A:

Angle UZT is congruent to angle TZY.

Using the image attached figure, we can see that:

∠UZT = 54°

∠TZY = 54°

Hence one can say that ∠TZY = ∠UZT are both congruent angles.

Part B:

Angle VZW is congruent to angle YZX.

Using the image attached attached, we can see that:

∠VZW = 71°

∠YZX = 71°

Hence, ∠YZX = ∠VZW are both regarded as congruent angles .

Therefore, The completed statement are:

Angle UZT is congruent to angle TZY.
Angle VZW is congruent to angle YZX.

Learn more about Angles from

brainly.com/question/14684194

#SPJ1

6 0

2 years ago

Find Angle C!!<br> Thankyou <br> I really need help

anzhelika [568]

Answer:

180-146=34 146+34=180

Step-by-step explanation:

7 0

3 years ago