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09.09.2021

Determine whether the pair of figures is similar

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Mathematics

Determine whether the pair of figures is similar. 2.8 m 11) 8.4 m 499 12) 88° 3.1 m 49° 4 m 9.3 m 12 m 439 PLS HELP

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P Answered by PhD

answered in comments :)

Step-by-step explanation:

Mathematics

Determine whether the pair of figures is similar. 2.8 m 11) 8.4 m 499 12) 88° 3.1 m 49° 4 m 9.3 m 12 m 439 PLS HELP

Step-by-step answer

P Answered by PhD

answered in comments :)

Step-by-step explanation:

Mathematics

Determine whether each pair of figures is similar. If so, write the similarity statement and scale factor. If not, explain why. Number 1 and 2 on the second part.

Step-by-step answer

P Answered by Master

9514 1404 393

JKLM ~ QRSP, scale factor 0.6ΔABC ~ ΔUVT, scale factor 1.5

Step-by-step explanation:

We can write the similarity statements by naming vertices in order of increasing numbers of arcs, starting with the one having a single arc. Then we can express the side lengths as a reduced ratio, in the same order.

1. JKLM ~ QRSP

JK : KL : LM : MJ = 20 : 15 : 24 : 25

QR : RS : SP : PQ = 12 : 9 : 14.4 : 15 = 20 : 15 : 24 : 25 (same ratios)

The scale factor is 12/20 = 0.6.

2. ΔABC ~ ΔUVT

AB : BC : CA = 16 : 14 : 12 = 8 : 7 : 6

UV : VT : TU = 24 : 21 : 18 = 8 : 7 : 6 (same ratios)

The scale factor is 24/16 = 1.5.

Determine whether each pair of figures is similar. If so, write the similarity statement and scale f

Mathematics

Determine whether each pair of figures is similar. Justify your answer. DEF is not similar to BAC . Corresponding angles are not the same. DEF-BAC because the corresponding angles of each triangle are congruent. The ratio of the corresponding sides is 1/2 . DEF-ABC because the corresponding angles of each triangle are congruent. The ratio of the corresponding sides is 2. DEF is not similar to BAC . The ratios of the corresponding sides are not the same.

Step-by-step answer

P Answered by PhD

Option (2)

Step-by-step explanation:

Two triangle are similar when,

1). Two or more than two angles of the given triangles are equal in measure.

2). Ratio of the corresponding sides are same.

In the triangles ΔDEF and ΔBAC,

m(∠A) = m(∠E) = 58°

m(∠B) = m(∠D) = 53°

m(∠C) = m(∠F) = 69°

And ratio of the corresponding sides,

$\frac{\text{EF}}{\text{AC}}=\frac{\text{DF}}{\text{BC}}=\frac{\text{DE}}{\text{AB}}$

$\frac{2.6}{5.2}=\frac{2.8}{5.6}=\frac{3.1}{6.2}$

$\frac{1}{2}=\frac{1}{2}=\frac{1}{2}$

Therefore, ΔDEF ~ ΔBAC

Option (2) will be the answer.

Mathematics

Step-by-step answer

P Answered by PhD

Option (2)

Step-by-step explanation:

Two triangle are similar when,

1). Two or more than two angles of the given triangles are equal in measure.

2). Ratio of the corresponding sides are same.

In the triangles ΔDEF and ΔBAC,

m(∠A) = m(∠E) = 58°

m(∠B) = m(∠D) = 53°

m(∠C) = m(∠F) = 69°

And ratio of the corresponding sides,

$\frac{\text{EF}}{\text{AC}}=\frac{\text{DF}}{\text{BC}}=\frac{\text{DE}}{\text{AB}}$

$\frac{2.6}{5.2}=\frac{2.8}{5.6}=\frac{3.1}{6.2}$

$\frac{1}{2}=\frac{1}{2}=\frac{1}{2}$

Therefore, ΔDEF ~ ΔBAC

Option (2) will be the answer.

Mathematics

Determine whether each pair of figures is similar. justify your answer.

Step-by-step answer

P Answered by PhD

Δ DEF ≈ Δ BAC because tge corresponding angles of each triangle are congruent. The ratio of the sides is 1.

Explanation:

This table shows the measures of the angles of the triangles BAC and DEG in the same order of vertices as indicated by letters:

Triangle BAC: Triangle DEF

Measure angle B = 20° measure angle D = 20°Measure angle A = 120° measure angle E = 120°Measure angle C = 40° measure angle F = 40°

There you see the measure of vertix B is equal to that of vertix D, the measure of vertix A is equal to that of vertix F, and the measure of vertex C is equal to that of vertix F, hence the corresponding vertices are congruents, which means that the triangles are similar.

When you look at the corresponding sides they are also congruent:

Triangle BAC: Triangle DEF

Length side AB = 6.3 Length side DE = 6.3Length side BC = 8.6 Length side DF = 8.6Measure angle CA = 3.5 Length side EF = 3.5

Thus, the ratios of the corresponding sides are 6.3/6.3 = 8.6/8.6 = 3.5/3.5 = 1.

Therefore, the last choice shows the correct conclusion about the similarity of that pair of figures: triangles BAC and DEF are similar and the ratio of the corresponding sides is 1.

Mathematics

Determine whether each pair of figures is similar. justify your answer

Step-by-step answer

P Answered by Master

They are correspondent but we’re missing a little bit of the answer, it’s one of the first 2 though. A or B, can’t tell though.

Mathematics

Determine whether each pair of figures is similar. If so, write the similarity statement and scale factor. If not, explain why. Number 1 and 2 on the second part.

Step-by-step answer

P Answered by Master

9514 1404 393

JKLM ~ QRSP, scale factor 0.6ΔABC ~ ΔUVT, scale factor 1.5

Step-by-step explanation:

1. JKLM ~ QRSP

JK : KL : LM : MJ = 20 : 15 : 24 : 25

QR : RS : SP : PQ = 12 : 9 : 14.4 : 15 = 20 : 15 : 24 : 25 (same ratios)

The scale factor is 12/20 = 0.6.

2. ΔABC ~ ΔUVT

AB : BC : CA = 16 : 14 : 12 = 8 : 7 : 6

UV : VT : TU = 24 : 21 : 18 = 8 : 7 : 6 (same ratios)

The scale factor is 24/16 = 1.5.

Mathematics

10 points ! determine whether the pair of solids are similar, congruent, or neither. figures are not necessarily drawn to scale.

Step-by-step answer

P Answered by PhD

Neither

Step-by-step explanation:

Can be determined because there is enough information (Length, width, and height).

Not congruent because from the picture itself, the figures are in different sizes.

Not similar because:

The height ratio is not the same as the ratios of other dimensions.

1 : 4 is not similar to 6 : 12 and 4 : 8

Mathematics

Determine whether the pair of solids are similar, congruent, or neither. figures are not necessarily drawn to scale.

Step-by-step answer

P Answered by Specialist

They are similar but not congruent.

the two shapes are similar, because they are both pyramids with the same ratio of dimensions.

But they are not congruent because the ratios are not equal to 1.

Step-by-step explanation:

Using the shapes in the attached image we want to confirm if they are similar or congruent.

From the image we can see that they are both pyramids

To compare the two pyramids

Pyramid 1

Height h = 8.4mm

Length l = 9.0mm

Breadth b = 7.2mm

Pyramid 2

h = 7mm

l = 7.5mm

b = 6mm

For the two pyramids to be similar, the sides must have the same ratio.

For the two pyramids to be congruent, the ratio of their dimensions must be equal to 1

Ratio

h = h1/h2 = 8.4/7 = 1.2

l = l1/l2 = 9/7.5 = 1.2

b = b1/b2 = 7.2/6 = 1.2

Therefore the two shapes are similar, because they are both pyramids with the same ratio of dimensions.

But they are not congruent because the ratio is not equal to 1.

Determine whether the pair of solids are similar, congruent, or neither. figures are not necessarily

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