Triangle ABE is similar to triangle DCE. If you were writing a proof to show this to be true, one of the statements would be ∠ A E B ≅ ∠ D E C \angle\ AEB\ \cong\ \angle\ DEC ∠ A E B ≅ ∠ D E C . What reason would you give for this statement?

If parallel lines are cut by a transversal, then alternate interior angles are congruent

Which series of transformations could be used to show ΔDCE is similar to ΔABE?

Rotation 180 ° 180\degree 1 8 0 ° about point E and a dilation of 1 2 \frac{1}{2} 2 1 from point E

Reflection over BC and a dilation of 1 / 2 from point E

Reflection over AD and a dilation of 1 / 2 from point E

Rotation 90 o about point E and a dilation of 1 / 2 from point E

Which of the statements is true about the graphed triangles?

They are similar, because the image can be obtained by dilating from the origin with a scale factor of 1/2.

They are similar, because the image can be obtained by dilating from the origin with a scale factor of 2.

They are not similar, because the sides are not proportional.

They are not similar, because the sides are proportional.

Which similarity theorem, if any, proves that these triangles are similar?

None, the triangles are not similar

To prove Δ Z G P ∼ Δ B G R \Delta\ ZGP\ \sim\ \Delta\ BGR Δ Z G P ∼ Δ B G R , one of the statements would be ∠ Z G P ≅ ∠ B G R \angle\ ZGP\ \cong\ \angle\ BGR ∠ Z G P ≅ ∠ B G R . Which of the following would be the reason for this statement?

If parallel lines are cut by a transversal, then alternate interior angles are congruent.

Which of the following would be the reason we know that B R ‾ i s p a r a l l e l t o Z P ‾ \overline{BR}\ is\ parallel\ to\ \overline{ZP} B R i s p a r a l l e l t o Z P ?

If corresponding angles are congruent, then the lines cut by the transversal are parallel.

Δ Z G P ∼ Δ B G R \Delta\ ZGP\ \sim\ \Delta\ BGR Δ Z G P ∼ Δ B G R

If same side interior angles are congruent, then the lines cut by the transversal are parallel.

If alternate interior angles are congruent, then the lines cut by the transversal are parallel.

Which similarity theorem, if any, proves that these triangles are similar?

None, the triangles are not similar

CPM Geometry Chapter 3 Review

Authored by Karen Baesman

Mathematics

9th - 12th Grade

CCSS covered

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22 questions

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MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Solve for x.

7/4

Tags

CCSS.HSG.SRT.A.2

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Are the two triangles similar?

Yes, by AA~

Not similar

Yes, by SAS~

Yes, by SSS~

Tags

CCSS.HSG.SRT.B.5

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Solve for x.

21.6

10.8

Tags

CCSS.HSG.CO.C.9

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Solve for x.

Tags

CCSS.3.MD.A.2

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Two objects that are the same shape but not the same size are _______.

Congruent

Vertical

Similar

Complementary

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Sides in similar figures must be proportional.

True

False

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Find the perimeter of the large triangle. (First find the missing side length)

Tags

CCSS.HSG.SRT.C.8

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

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CPM Geometry Chapter 3 Review

Solve for x.

Are the two triangles similar?

Solve for x.

Solve for x.

Two objects that are the same shape but not the same size are _______.

Sides in similar figures must be proportional.

Find the perimeter of the large triangle. (First find the missing side length)

What scale factor was used to produce the image?

What scale factor was used to produce the image?

State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor r = 2.

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