Monday 12.8 and Thursday 12.11 Geometry

Multiple Select

What is the value of x? What is the value of y?

• x = 10

• x = 15

• y = 7

• y = 12

Dropdown

I can determine the scale factor by​

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​ The scale factor is ​

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.

Multiple Select

Which of the following statements are true about similar triangles?

• Corresponding angles are congruent

• Corresponding sides are proportional

• All sides are equal

• All angles are equal

Multiple Choice

Which theorem is used to prove that a line drawn parallel to one side of a triangle divides the other two sides proportionally?

• Triangle Proportionality Theorem

• Pythagorean Theorem

• Triangle Sum Theorem

• Congruence Theorem

Open Ended

Are there other ways to write the ratios? If yes, what are the other ways?

Multiple Choice

Which condition must be met for a line to be parallel to one side of a triangle according to the Converse of the Triangle Proportionality Theorem?

• The line divides two sides proportionally.

• The line bisects the triangle.

• The line is perpendicular to the third side.

• The line passes through the triangle's centroid.

Open Ended

Explain how you would determine if MN is parallel to PQ in the first triangle using the Triangle Proportionality Theorem.

Dropdown

The SSS Similarity criterion requires that all three pairs of corresponding sides are ___ .

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Multiple Select

Which of the following statements are true about proving triangles are similar using the SSS Similarity criterion?

• All corresponding sides must be proportional.

• All corresponding angles must be congruent.

• The triangles must be right triangles.

• The triangles must have proportional sides but not necessarily congruent angles.

Multiple Choice

What additional information is needed, besides proportional sides, to prove triangles are similar using the SAS Similarity criterion?

• An included angle is congruent.

• All angles are congruent.

• The triangles are equilateral.

• The triangles share a common vertex.

Drag and Drop

To determine SAS I need _____________.

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two corresponding sides and angle

all sides congruent.

all angles congruent

Multiple Choice

Which of the following is necessary to prove that triangles ABC and DEF are similar by SSS similarity?

• All three pairs of corresponding sides are proportional.

• Two pairs of sides and the included angle are proportional.

• Two pairs of angles are congruent.

• One pair of sides and two pairs of angles are proportional.

Multiple Select

Which similarity criteria are used to prove that triangles GHI and JKL are similar?

• AA Similarity

• SAS Similarity

• SSS Similarity

• Corresponding Angles

Open Ended

Explain how parallel lines help in proving triangle similarity using AA similarity criterion.

Multiple Choice

Which similarity criterion is used to prove that triangles MNO and PQO are similar in the given diagram?

• AA Similarity

• SAS Similarity

• SSS Similarity

• Corresponding angles are ≅

Multiple Choice

What is the value of Y to the nearest hundredth in the given triangle diagram?

• 12.90

• 11.56

• 12.86

• 0.93

Multiple Choice

Which of the following measures allows you to conclude that AB is parallel to DC?

• DE = 12, CE = 10

• DE = 21, CE = 27

• DE = 28, CE = 32

• DE = 27, CE = 30

Drag and Drop

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Drag these tiles and drop them in the correct blank above

Given

AA Similarity

Multiple Choice

How do these triangles appear to be similar?

• AA
• SAS
• SSS
• Not Similar

Multiple Choice

What is the measure of x?

• 12
• 15
• 6
• 9

Multiple Choice

Determine whether the triangles are similar or not. If so, state how they are similar.

• Yes, by AA Similarity
• Yes, by SAS Similarity
• Yes, by SSS Similarity
• No, not similar

Multiple Choice

Find side length X.

• 22.5
• 10
• 9
• 7.5

Multiple Choice

Solve the proportion.

• p=31.3
• p=308
• p=924
• p=532