Dilation Equations & Figures
Similar Figures
Prove Triangle Similarity
Figure Application
Bonus points
100
Is this an enlargement, reduction or isometry.
K= 8
What is Enlargement.
100
Are these triangles similar
BONUS!!!
+200 points
What is the ratio?
What is yes.
bonus answer: What is 2.
100
What way can you prove that these triangles are similar?
What is SAS~.
100
Sam was wondering how tall a tree is in his backyard. She grabbed a mirror and placed it on the ground 45 feet away from the base of the tree. Sam then walked backwards until he was able to see the top of the tree in the mirror. If Sam's eyes are 7 feet off the ground and he is standing 15 feet away from the mirror, how tall is the tree?
What is 21 feet.
200
What dilation is this?
What is isometry
200
Fill in the missing spot.
<A ≅ ____
What is <Q.
200
through what way are the triangles formed by the ladders similar?
What is AA~.
200
Two ladders are leaning against a wall at the same angle as shown.
How far up the wall does the smaller ladder reach?
What is 18 feet.
200
congratulation you got the bonus question right!!
+200
300
What is the scale factor?
BONUS!!!
Can scale factors be negative, fractions, or decimals?
+300 points
What is K= 3.
Bonus: They can be fractions and decimals, but not negative.
300
Fill in the Missing spots.
____ = __DC__
UT
What is __ED___ = ___DC___
UT TS
300
Fill in the missing spot.
Statements Reasons
1. DE || AC 1. Given
2. <B ≅ <B 2. Reflexive property
3. <BDE ≅ <A 3.
4. △ABC ~ △DBE 4. AA~
What are corresponding angles.
300
Karen is hiking up a mountain in Glacier National Park. The trail starts off flat and then steadily climbs in altitude from there. Karen starts walking up the inclined trail. After she walks 5 km, she sees a sign giving the elevation as 3 km. How far will she have walked when she reaches an elevation of 6 km? (recomended) Draw a diagram.
What is 10 kilometers.
300
congratulation you got the bonus question right!!
+300
400
How does the perimeter of the preimage compare to the perimeter of the image? The Pre image is the smaller one.
What is 7/3
400
Find the measure of side ED.
The bigger figure is the original image. The smaller figure is the dilated image.
What is 2.6 feet.
400
Fill in the missing spot.
Statements Reasons
1. BD, AE, <B ≅ <D 1. Given
2. <BCA ≅ <DCE 2. Vertical angles
3. △ABC ~ △EDC 3. AA~
4.
What is the corresponding sides of similar triangles are proportional.
400
construction workers need to determine the height of a hill. They set up a laser measuring device on a pole that is 1m tall and shine the laser toward the top of a second pole, which is 2m tall. Then they adjust the distance between the two poles until the laser hits the top of the longer pole and the top of the hill. The 2m pole is 425m from the center of the hill. The two poles are 10 m apart. Determine the height of the hill. (recommended) Draw a Diagram.
What is 86m.
500
Use the given points to determine scale factor.
B(1,0) B'(4,0)
K= 4
500
Find Z.
What is Z= 2.1.
500
Prove: △ADE ~ △ABC
Given: <C and <DEA are right <s
Fill in the missing spot.
Statements Reasons
1. <C and <DEA are right <s 1.Given
2. <C ≅ <DEA 2.
3. <A ≅ <A 3. Reflexive property
4. △ADE ~ △ABC 4. AA~
What is all right angles are congruent.
500
A telephone pole is supported by a guy wire which is anchored to the ground 5m from the base of the pole. The guy wire makes an angle with the ground and is attached to the pole 7m from the top. Another guy wire is attached to the top of the pole. This guy wire also makes an angle with the ground (same as the first wire) 10m from the base of the pole. Determine the height of the pole. (recommended) Draw a diagram.
What is 8.4 meters.