Question is in the picture SAS SSA SSS not congruent

Mathematics

2 answers:

masha68 [24]3 years ago

5 0

QU =AD

QD=AU

DU is a common side of the triangles QUD and ADU,

so all three sides of these triangles are congruent, so we need postulate SSS.

Answer is SSS.

Whitepunk [10]3 years ago

4 0

SSS is the answer because the parallel sides are congruent and the line that divides the shape is reflexive and makes it congruent to itself...

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A triangle is dilated by a scale factor of 1/5 and then rotated 90 degree clockwise about the origin. Why is the image similar t

yan [13]

Answers:
The corresponding angles of the triangles are congruent
The image is a reduction of the pre-image
Neither the dilation nor the rotation change the shape of the triangle

Explanation:
For shapes to be similar:
1- there should be a ratio between the sides
2- angles in first shape should be congruent to angles in second shape

Now, a scale factor of 0.2 means that the sides of the image are 0.2 of the length of the original shape. However, angles are not changes

Let's check the choices:
1- The corresponding sides of the triangles are congruent:
This option is incorrect as dilation changes the lengths of the sides

2- The corresponding angles of the triangles are congruent:
This option is correct as neither dilation nor rotation alters the measures of the angles

3- The corresponding sides of the image are 5 times as long as those of the pre-image:
This option is incorrect as the sides of the image are only 0.2 times as long as those of the pre-image

4- The image is a reduction of the pre-image:
This option is correct as the sides of the image are 0.2 times those of the pre-image which means that the shape is reduced

5- Neither the dilation nor the rotation change the shape of the triangle:
This option is correct as both dilation and rotation are rigid transformations that do not alter the shape of the triangle (a triangle remains a triangle only with different side lengths)

6- The rotation reduces the size of the triangle:
This option is incorrect as rotation does not alter the size of the shape. It only changes its position

Hope this helps :)

3 0

3 years ago

Read 2 more answers

A retailer ordered a combination of 50 black and white sweatshirts. Each white sweatshirt cost him $10 and

Brut [27]

The number of white sweatshirts is 28

Step-by-step explanation:

Let ordered black shirts be represented by b

Let ordered white shirts be represented by w

So total sweatshirts will be represented by the equation

b+w=50

The total cost of the ordered sweatshirts will be represented by