Students review concepts of similarity including dilations.
Question 1
1.
Fill in the blank:
Similar figures have _______________ that are congruent.
Question 2
2.
Fill in the blank:
Similar figures have sides that are _____________________.
1
1
1
1
1
Question 8
8.
Given that the triangles are similar by AA~, solve for the missing side.
For questions 9 - 22, show all work on each problem (angle markings, fractions, etc.) used to determine if the triangles are similar. Then, select which triangle criteria (AA, SSS, or SAS) you can use to prove they are similar, if they are.
1
1
Question 10
10.
Explain your reasoning.
1
1
Question 12
12.
Explain your reasoning.
1
1
Question 14
14.
Explain your reasoning.
1
1
Question 16
16.
Explain your reasoning.
1
1
Question 18
18.
Explain your reasoning.
1
1
Question 20
20.
Explain your reasoning.
1
1
Question 22
22.
Explain your reasoning.
Question 23
23.
What is the scale factor from the black shape to the green shape?
Question 24
24.
What is the scale factor from the black shape to the blue shape
Question 25
25.
What is the scale factor from A to B?
Question 26
26.
Solve for x.
Question 27
27.
Solve for x.
Question 28
28.
Describe a sequence of transformations that will map VWX onto V'W'X'. (Hint: use a translation to align a vertex onto it's image and then dilate from that point)
Question 29
29.
In the triangles shown below, JKL was dilated by a scale factor of 3/2 to form NMP. If <K = 52 degrees and <J = 60 degrees, find the measure of <P.
Question 30
30.
Question 31
31.
Question 32
32.
Question 33
33.
The Gateway Arch in Missouri casts a 140 foot shadow while an 18 foot pole casts a 4 foot shadow. How tall is the arch?
Question 34
34.
Triangle ABC is dilated from point B to form A'B'C'. Describe which lines will be collinear, which lines will be parallel, and how you know.
Question 35
35.
Draw a dilation of rectangle ABDC with a scale factor of 1/2 and a center at point D.
Question 3
3.
Enter a pair of congruent angles.
Question 4
4.
Enter a pair of congruent angles.
Question 5
5.
Enter a pair of congruent angles.
Question 6
6.
Enter a pair of congruent angles.
Question 7
7.
Enter your proportion of corresponding sides.
Question 9
9.
Question 11
11.
Question 13
13.
Question 15
15.
Question 17
17.
Question 19
19.
Question 21
21.
Place the Reasons in the correct order to complete the given proof.
Given
Vertical Angles Theorem
Substitution
Corresponding Angles Postulate
What theorem did you prove in #30?
If two lines are parallel, then alternate interior angles are congruent.
If two lines are parallel, then corresponding angles are congruent.
If two lines are parallel, then same-side interior angles are congruent.
If two lines are parallel, then alternate exterior angles are congruent.
Quadrilateral TUVW was rotated 90 degrees clockwise to obtain Quadrilateral T'U'V'W'. Which statement is true about the pre-image and image?
The figures are similar but not congruent
The figures are congruent but not similar
The figures are neither similar nor congruent
The figures are similar and congruent
Which criteria, if any, can be used to prove these triangles are similar?
AA~
SSS~
SAS~
Not Similar
Which criteria, if any, can be used to prove these triangles are similar?
AA~
SSS~
SAS~
Not Similar
Which criteria, if any, can be used to prove these triangles are similar?
AA~
SSS~
SAS~
Not Similar
Which criteria, if any, can be used to prove these triangles are similar?
AA~
SSS~
SAS~
Not Similar
Which criteria, if any, can be used to prove these triangles are similar?
AA~
SSS~
SAS~
Not Similar
Which criteria, if any, can be used to prove these triangles are similar?
AA~
SSS~
SAS~
Not Similar
Which criteria, if any, can be used to prove these triangles are similar?
