Proportions
Scale Factors and Grow/Shrink
Finding parts of figures after dilation
Trig
Vocab
Solve for missing sides/angles given ~ figures
Similarity and Triangle Theorems
100
Suppose you were solving a proportion. You will use THIS method to start. Looking for 2 words here!
What is CROSS MULTIPLY? Will NOT take butterfly method, we need the official words.
100
THIS is how you find the scale factor of 2 similar figures.
What is (will take either one)
(NEW)/(OLD)?
(IMAGE)/(PRE-IMAGE)?
100
Fill in the blanks:
If two figures are similar, the corresponding sides are ____________ and the corresponding angles are ___________
What is PROPORTIONAL and CONGRUENT?
100
Trigonometry can only be used with THIS type of triangle.
What is a right triangle?
100
These are the solutions to fill in the following blanks:
The _________ is the original figure before the transformation
The _________ is the new figure after the transformation
What is PRE-IMAGE and IMAGE?
100
THIS is the solution to fill in the blank
You need to set up a ______________ after finding the corresponding sides of similiar figures
What is PROPORTION?
100
The Triangle Proportionality Theorem says THIS is the only reason we're allowed to say the sides are divided proportionally and
triangle ABC ~ triangle DEC
What is AB // DE (AB is parallel to DE)
200
THIS is the solution for X in the following proportion
What is X = 4?
200
THIS is the scale factor to get from ABC to A'B'C'
What is 1/2 or 0.5?
200
Suppose the following figure (quad ABCD) is dilated with a SF = 2.5 to make quad A'B'C'D'. THIS is the measure of
angle A'.
What is
angle A' = 77°?
200
THIS number (no need to include the units) is "opposite" of
angle C
What is 12?
200
THIS is the number you multiply each of the side lengths to get from the pre-image to the image
What is SCALE FACTOR?
200
triangleABC ~ triangleXYZ
THIS number is the solution for X.
What is X = 15?
200
THIS is the length of MIDSEGMENT DE:
What is DE = 2
300
THIS is the solution for X in the following proportion:
What is X = 22?
300
If your SF = 0.8, your dilation is THIS
What is SHRINKING or REDUCTION?
300
Triangle XYZ is dilated by a scale factor of 1/2 to form triangle X'Y'Z'. THIS is the measure of side Y'Z'.
What is Y'Z' = 20?
300
THIS is
tan(t)
What is 7/24?
300
THIS is the funky phrase we use to remember the trig ratios
What is SOH-CAH-TOA?
300
THIS is the solution for X given the following similar figures:
What is X = 6?
300
THIS is the length of JE:
What is JE = 3?
400
A map has a scale of 3.7 cm : 60 km. THIS is the true distance between 2 locations that are 5.8 cm apart on the map (need the units in your answer, and round to the nearest hundredth!)
What is 94.05 KM?
400
Given a figure that is dilated with a SF of -3, these 2 THINGS will happen
What is
1. Grow/enlarge/get bigger
2. Flip/go in the opposite direction/rotate
400
Suppose🔺ABC ~🔺XYZ, with a SF of 1.5. Given AB = 3, BC = 6, and AC = 8, THIS is the side length of XZ.
What is XZ = 12?
400
THIS is the solution for X, rounded to the nearest tenth
What is 6.7?
(You're Welcome :D)
400
THIS is how you find the center of dilation given 2 similar figures on a graph
What is CONNECT THE PREIMAGE POINTS TO THE IMAGE POINTS, AND SEE WHERE THEY INTERSECT?
400
Given the similar figures below, THESE are the corresponding parts.
What is...
400
THIS is the length of JH:
What is JH = 5?
500
An 18 foot tall telephone pole casts a 39.7 foot shadow on the ground. THIS number is the length of a 3.2 foot tall bike's shadow (you DO need the units here, and round to the nearest HUNDREDTH).
What is 7.06 FEET?
500
THIS is the scale factor to get from ABC to A'B'C' (B' is cut off but I promise it's there)
What is SF = 2?
500
Quad ABCD is dilated with a SF of 1/4 to create quad MNOP. THIS number is the PERIMETER of quad MNOP
What is perimeter = 5?
500
THIS is the solution for X, rounded to the nearest tenth if necessary
What is 47.8°?
500
You use THIS to find a missing angle given 2 sides of a right triangle
What is INVERSE TRIG? (some leeway, may take sin^-1 and so on)
500
triangle ABC ~ triangle QLP
THESE (3 numbers) are the 2 missing angles and the marked missing side (X) of the following similar triangles
X = 18,
angle A = angle Q = 35°
angle B = 35°
500
THIS is the length of QR (hint - solve for X first then plug it back in!)
What is QR = 7?