Vocabulary
What does it mean if two figures are similar? (Middle School Definition)
Same Shape, Different Size
Use your diagram and solve for the missing side.
12
You have a triangle with sides of 2 in, 4 in, and 3 in. What would the new sides be with a scale factor of 2?
6 in, 8 in, 10 in
A figure has a perimeter of 15 units and is dilated by a scale factor of 2. What will be the perimeter of the dilated figure?
30 units
What can you break, even if you never pick it up or touch it?
A promise
What does it mean if two figures are similar? (High School Definition)
A series of rigid transformations and a dilation can map one figure onto the other figure.
Use your diagram and solve for the missing side EF.
EF = 143
A triangle is dilated by a scale factor of 4. If the side lengths are 12, 18, and 21, what will the new side lengths be?
48cm, 72cm, 84cm
A scale drawing of your house uses the scale 1 cm: 3 feet. If the actual measure of the porch is 39 feet, what will the measurement be on the scale drawing?
You must use the correct units!
13 cm
The more of this there is, the less you see. What is it?
Darkness
What is true about the angles of similar figures?
corresponding angles are equal
Your friend is trying to figure out the height of a tree. Your friend's eyes are 5.2 feet above the ground. They place a mirror 12 feet from the base of a tree, and they stand 19 feet FROM THE TREE. How tall is the tree?
The tree is 8.9 feet tall
Two triangles have side lengths of 6,10,12 and 9, 15, and 20. Is it possible for these two triangles to be similar?
Nope - all corresponding sides are not proportional
A triangle has an Area of 22 square feet and is dilated by a scale factor of 3. What will be the area of the dilated triangle?
(22) (3^2) = 198 square feet
Where does today come before yesterday?
The dictionary
What is an equivalent fraction to 4/7?
8/14, 12/21, 40/70
How tall is the flag pole?
51 feet
Triangle ABC has side lengths of 15, 30, and 45. Your new triangle A'B'C' has side lengths of 5, 10, and 15. What scale factor was used to get the new triangle?
1/3
You take a photograph of Mount Monadnock (a mountain in NH). Monadnock is about 3000 feet high. If the photo scale is 1 mm: 200 feet, what is the height of the mountain in the photo?
15 mm
What 4-letter word can be written forward, backward or upside down, and can still be read from left to right?
Noon
What is true about the sides of similar figures?
corresponding sides are proportional
What is the value of x?
x = 3
You have a triangle with sides 6, 8, 10. What are the new side lengths if you use a scale factor of 3.6?
21.6, 28.8, 36?
Triangle ABC is an isosceles triangle with an Area of 240 square inches. If it is dilated by a scale factor of 1/4, what will be the Area of A'B'C'?
15 square inches
What can fill a room but takes up no space?
Light