question

What is the length of a leg of the pre-image, triangle RST?

answer

16 units

question

Which best explains why all equilateral triangles are similar?

answer

All equilateral triangles can be mapped into each other using dilations

question

We are given AB ∥ DE. Because the lines are parallel and segment CB crosses both lines, we can consider segment CB a transversal of the parallel lines. Angles CED and CBA are corresponding angles of transversal CB and are therefore congruent, so ∠CED ≅ ∠CBA. We can state ∠C ≅ ∠C using the reflexive property. Therefore, △ACB ~ △DCE by the

answer

AA similarity theorem

question

To prove that the triangles are similar by the SAS similarity theorem, it needs to be SHOWN that

answer

AC/GI, BC/HI

question

Is rectangle EFGH the result of a dilation of rectangle ABCD with a center of dilation at the origin? Why or why not?

answer

Yes, because both figures are rectangles and all rectangles are similar

question

Which value of x would make T V II QS

answer

10

question

To prove that △DFE ~ △GFH by the SAS similarity theorem, it can be stated that and

answer

DFE is congruent to GFH

question

What are the coordinates of vertex J of the pre-image?

answer

(0, -4)

question

Which value of y would make OP II LN?

answer

36

question

If CA = 8, what is C'A'?

answer

10 Units

question

Why is the information in the diagram enough to determine that △LMN ~ △PON using a rotation about point N and a dilation?

answer

because one pair of congruent corresponding angles is sufficient to determine similar triangles

question

Which statements can be concluded from the diagram and used to prove that the triangles are similar by the SAS similarity theorem?

answer

RS/VU = ST/UT and S congruent U

question

If the triangles are similar, which must be true?

answer

RY/RS = RX/RT = XY/TS

question

If an image of a triangle is congruent to the pre-image, what is the scale factor of the dilation?

answer

1

question

Is triangle A'B'C' a dilation of triangle ABC? Explain.

answer

No, it is not a dilation because the points of the image are not moved away from the center of dilation proportionally.

question

What is the perimeter of ΔWXY?

answer

14.50 Cm

question

What is the scale factor of the dilation?

answer

4

question

What is the length of AC?

answer

18 Ft

question

What are the coordinates of the endpoints of the segment T'V'?

answer

T'(-3, 6) and V'(0, 3)

question

Which transformations could have occurred to map △ABC to △A"B"C"?

answer

a dilation and a rotation

question

Using the side-splitter theorem, Daniel wrote a proportion for the segments formed by line segment DE. What is EC?

answer

2.4 Units

question

To prove that the triangles are similar by the SSS similarity theorem, which other sides or angles should be used?
MN and SR

answer

MN and QR

question

ΔRST was _____________, then dilated, to create ΔZXY.

answer

translated

question

What is the perimeter of AEB?

answer

18.5 ft

question

To prove that the triangles are similar by the SAS similarity theorem, it needs to be PROVEN that

answer

I measures 60