In the figure if m ∠ 12 = 74 ° . m\angle12=74\degree. m ∠ 1 2 = 7 4 ° . Find m ∠ 4 m\angle4\ m ∠ 4 and give proper reasoning.

74 ° 74\degree 7 4 ° because they are corresponding angles.

106 ° 106\degree 1 0 6 ° because alternate interior angles.

106 ° 106\degree 1 0 6 ° because corresponding angles.

74\degree 7 4 ° because they are consecutive interior angles.

If m ∠ 10 = 53 ° m\angle10=53\degree m ∠ 1 0 = 5 3 ° find m ∠ 4 m\angle4 m ∠ 4 and give proper reasoning.

53\degree 5 3 ° because alternate exterior angles.

127 ° 127\degree 1 2 7 ° because alternate exterior angles.

127\degree 1 2 7 ° because alternate interior angles.

53 ° 53\degree 5 3 ° because consecutive interior angles.

What is m ∠ Y m\angle Y\ m ∠ Y if m ∠ X = 72 ° m\angle X=72\degree m ∠ X = 7 2 ° ?

m ∠ Y = 108 ° m\angle Y=108\degree m ∠ Y = 1 0 8 ° because consecutive interior angles.

m ∠ Y = 72 ° m\angle Y=72\degree m ∠ Y = 7 2 ° because alternate interior angles.

m ∠ Y = 108 ° m\angle Y=\ 108\degree m ∠ Y = 1 0 8 ° because corresponding angles.

m ∠ Y = 72 ° m\angle Y=72\degree\ m ∠ Y = 7 2 ° because alternate exterior angles.

Solve for x and give proper reasoning.

x=9 because if two <span class="katex-mathml" style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; border-top-color: rgb(0, 0, 0); border-top-style: none; border-top-width: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; -ms-high-contrast-adjust: none; overflow: hidden; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px; position: absolute; width: 1px;"> ∥ \parallel ∥ lines are cut by a transversal then alternate exterior angles are <span class="katex-mathml" style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; border-top-color: rgb(0, 0, 0); border-top-style: none; border-top-width: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; -ms-high-contrast-adjust: none; overflow: hidden; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px; position: absolute; width: 1px;"> ≅ \cong ≅ .

x=8 because if two ∥ \parallel ∥ lines are cut by a transversal then alternate interior angles are ≅ \cong ≅ .

x=9 because if two <span class="katex-mathml" style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; border-top-color: rgb(0, 0, 0); border-top-style: none; border-top-width: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; -ms-high-contrast-adjust: none; overflow: hidden; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px; position: absolute; width: 1px;"> ∥ \parallel ∥ lines are cut by a transversal then consecutive interior angles are <span class="katex-mathml" style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; border-top-color: rgb(0, 0, 0); border-top-style: none; border-top-width: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; -ms-high-contrast-adjust: none; overflow: hidden; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px; position: absolute; width: 1px;"> ≅ \cong ≅ .

x=4 because if two <span class="katex-mathml" style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; border-top-color: rgb(0, 0, 0); border-top-style: none; border-top-width: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; -ms-high-contrast-adjust: none; overflow: hidden; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px; position: absolute; width: 1px;"> ∥ \parallel ∥ lines are cut by a transversal then corresponding angles are <span class="katex-mathml" style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; border-top-color: rgb(0, 0, 0); border-top-style: none; border-top-width: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; -ms-high-contrast-adjust: none; overflow: hidden; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px; position: absolute; width: 1px;"> ≅ \cong ≅ .

Dilations & Transversals

Authored by Crystal Vest

Mathematics

10th Grade

CCSS covered

Used 20+ times

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27 questions

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MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What is the scale factor for the dilation from the pink triangle to the blue triangle?

Tags

CCSS.HSG.CO.A.2

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Where is the center of dilation?

None

Tags

CCSS.8.G.A.3

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What is the scale factor from the green pentagon to the pink pentagon?

1/2

1/4

1/3

Tags

CCSS.8.G.A.3

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What is the black triangle called in terms of dilation?

image

triangle

pre-image

nothing

Tags

CCSS.HSG.CO.A.2

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What do you call the purple figure in terms of dilation?

image

pre-image

rectangle

nothing

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What is the measure of angles P and Q?

P=53, Q=29

P=29, Q=29

P=29, Q=53

P=53, Q=53

Tags

CCSS.8.G.A.5

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

∠2 & ∠6 are...

Supplementary angles

Vertical angles

Corresponding angles

Alternate interior angles

Tags

CCSS.8.G.A.5

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Dilations & Transversals

What is the scale factor for the dilation from the pink triangle to the blue triangle?

Where is the center of dilation?

What is the scale factor from the green pentagon to the pink pentagon?

What is the black triangle called in terms of dilation?

What do you call the purple figure in terms of dilation?

What is the measure of angles P and Q?

∠2 & ∠6 are...

∠3 & ∠6 are...

What is the name of the angle relationship between angle 1 and angle 3?

Name the alternate interior angle to angle 3.

Access all questions and much more by creating a free account

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