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2 years ago

Plot triangle ABC on graph paper with points A(2,2). B(-2, -2) and C(8, -2).

Mathematics

1 answer:

bonufazy [111]2 years ago

4 0

9514 1404 393

Answer:

a) The new triangle is a reflection of the original across the origin. All angles, segment lengths, and line slopes have been preserved: the transformed triangle is congruent with the original.

b) The new triangle is a reflection of the original across the origin and a dilation by a factor of 2. Angles have been preserved: the transformed triangle is similar to the original. The transformation is NOT rigid.

Step-by-step explanation:

1. The transformed triangle is blue in the attachment. It is congruent with the original. The transformation is "rigid," a reflection across the origin. All angles and lengths have been preserved, as well as line slopes.

2. The transformed triangle is orange in the attachment. It is similar to the original, in that angles have been preserved and lengths are proportional. It is a reflection across the origin and a dilation by a factor of 2. Line slopes have also been preserved. A dilation is NOT a "rigid" transformation.

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valina [46]

Answer:

Option C.

Step-by-step explanation:

In △ONM and △SRQ,

$\angle ONM\cong \angle SRQ$

$NM=10$

$SR=20$

$NO=8$

$QR=x$

We need to find the value of x that will make △ONM similar to △SRQ by the SAS similarity theorem.

According to SAS similarity theorem, two triangle are similar if two corresponding sides in both triangles are proportional and the included angle in both are congruent.

It is given that $\angle ONM\cong \angle SRQ$ . So, both triangles are similar by SAS if

$\dfrac{NO}{NM}=\dfrac{SR}{QR}$

Substitute the given values.

$\dfrac{8}{10}=\dfrac{20}{x}$

$8\times x=20\times 10$

$8x=200$

Divide both sides by 8.

$x=\dfrac{200}{8}$

$x=25$

Therefore, the correct option is C.

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3 years ago

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Write the slope-intercept form of the equation of each line

navik [9.2K]

Answer: y= 3x-1

Step-by-step explanation:

Equation of a straight line:

y = mx + b ------(i)

Step by Step Solution:

Step 1: Calculating Slope (m).

m =

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x2-x1

m =

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Now putting value of m in equation (i)

y = 3x + b -----(ii)

Step 2: Calculating Y-intercept (b).

Lets choose the first point, (0,-1) for calculating y-intercept:

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Answer:

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200,000,000

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The circular disk spins at a constant number of revolutions per second. Moving from point A to point B, the

pychu [463]

The disk spins at a constant number of revolutions per second. This means, the angular velocity is constant.

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