Help
Options
Question
similarity in figures
click to flip
Didn't know it?
click below
click below
Knew it?
click below
click below
Don't know
Question
similarity transformation
Remaining cards (15)
Know
retry
shuffle
restart
0:00
Embed Code - If you would like this activity on your web page, copy the script below and paste it into your web page.
Normal Size Small Size show me how
Normal Size Small Size show me how
geometery mod2, tC/D
similar triangles, geometric mean and theroms
| Question | Answer |
|---|---|
| similarity in figures | two figures are similar if and only if one can be obtained from the other by a single or sequence of basic rigid motions and a dilation |
| similarity transformation | a transformation in which there is a composition of a dilation with one or more basic rigid motions |
| In similar triangles, angles are ___________ | congruent, because similarity transformations all preserve angles |
| in similar triangles, sides are ___________ | proportional, because DE= AB * k, EF= BC*k & DF= AC * k where k is the scale factor between triangle ABC and triangle DEF, k = DE ------- AB |
| property of similar triangles | corresponding angles of similar triangles are congruent, corresponding sides of similar triangles are proportional |
| what are the three similarity criterias | AA postulate, SAS similarity theorem, SSS similarity theorem |
| in a proportion, the product of the means_______________ | is equal to the product of the extremes |
| altitude | a segment from a vertex drawn perpendicular to the opposite side. it is used to calculate the height of the figure |
| geometric mean | when two numbers, a and b, have a unique number x such that : a x --- = ---- x b |
| what is the rationalize the denominator rule | when you eliminate the radicals from in order to fully simplify the expression |
| orthocenter | the point of concurrency of the three altitudes of a triangle |
| how do you construct an altitude | 1) Draw triangle ABC. 2) Place compass on point 𝐴 3) Draw an arc that crosses line 𝐵𝐶 at two points. Label them D and E. 4) With the compass on point D, draw an arc below line BC. 5) Do the same from point E (same compass width), making the arcs cross. Label the crossing point F. 6) Draw a straight line from A through point F. This line is the altitude — it's perpendicular to BC. |
| how do you construct an orthocenter | draw the three altitudes of a triangle |
| Pythagorean theorem | a² + b² = c², when given a right triangle |
| When the altitude is drawn to the hypotenuse of a right triangle ___________ | three similar triangles are formed |
| what is the geometric mean altitude formula |
Created by:
user-1550741
Popular Math sets