All categories

2 years ago

Are the polygons similar? If they are, write a similarity statement. The figures are not drawn to scale.

Mathematics

1 answer:

Marina CMI [18]2 years ago

8 0

Based on the SAS similarity theorem, both triangles are similar.

Similarity statement is: ΔSTV ~ ΔPQR by SAS Similarity Theorem.

<h3>What are Similar Polygons?</h3>

Similar Polygons have different size but the same shape, and as such, the ratio of their corresponding side lengths are equal, while their corresponding angles are congruent.

Based on the SAS similarity theorem, two triangles are similar to each other if they have two pairs of corresponding sides that are proportional and an included pair of angles that are congruent.

In ΔSTV and ΔPQR:

m∠S ≅ m∠P = 86° (one pair of included congruent angles)

ST/PQ = SV/PR = 0.67 (proportional sides).

Therefore, based on the SAS similarity theorem, both triangles are similar.

Similarity statement is: ΔSTV ~ ΔPQR by SAS Similarity Theorem.

Learn more about similar polygons on:

brainly.com/question/2264759

You might be interested in

A clothing store has the sign shown in the shop window.

kicyunya [14]

Pani would pay $59 if she gets a discount of $3 on each shirt and $3 on each jeans

Step-by-step explanation:

Given

Price of shirt = $12

Price of jeans = $19

Price of shirt after $3 discount = 12-3 = $9

Price of jeans after 3 discount = 19-3 = $16

The total money Pani has to pay will be:

$9(3)+16(2)\\=27+32\\=\$59$

Pani would pay $59 if she gets a discount of $3 on each shirt and $3 on each jeans

Keywords: Discount, percent

Learn more about discount at:

#LearnwithBrainly

8 0

4 years ago

Rafeal wants to know if there is a single transformation that will move trapezoid JKLM onto trapezoid PQRS Below

aliina [53]

A. A 90° counterclockwise rotation of trapezoid JKLM about the origin will move angle L onto angle R.

Step-by-step explanation:

Since both the trapezoids, trapezoid JKLM and PQRS are congruent, we can do any transformation, may be rotation, reflection and translation.

A 90° counterclockwise rotation of trapezoid JKLM about the origin will move angle L onto angle R is the true statement others are incorrect statements.

When the Preimage is rotated 90° counterclockwise rotation, then its coordinates (x,y) changed into (-y,x)

8 0

3 years ago

The scores on ms. martin's statistics quiz had a mean of 12 and a standard deviation of 3. ms. martin wants to transform the sco

yawa3891 [41]

<span>CorrectThe direction of the electric field stays the same regardless of the sign of the charges that are free to move in theconductor.Mathematically, you can see that this must be true since the expression you derived for the electric field isindependent of .Physically, this is because the force due to the magnetic field changes sign as well and causes positive charges tomove in the direction (as opposed to pushing negative charges in the direction). Therefore the result isalways the same: positive charges on the side and negative charges on the side. Because the electric fieldgoes from positive to negative charges will always point in the direction (given the original directions of</span>

4 0

3 years ago

The radius of a sphere is 7 cm. What is the sphere's volume? Round to the nearest tenth, and use 3.14 for π.

Leokris [45]

Answer:

1,436.8

Step-by-step explanation:

5 0

3 years ago

Round 38562.7 to 1 significant figure

MissTica

= 488000
(real number)

= 4.88 × 105
(scientific notation)

<span>= 4.88e5

maybe this will help ?</span>