Dilations
For dilations, multiply the coordinates by k, also known as the ________?
What is the scale factor?
______ corresponding angles belong to similar polygons
What is congruent?
What are the three ways that you can prove that two triangles are similar?
The Triangle Proportionality Theorem states that if a line is parallel to one side of a triangle and intersects the other two sides, then it divides the sides into _______ of proportional parts.
What are segments?
What kind of dilation is 0 < k < 1?
What is reduction?
True or False: Similar figures have a different shape but the same size.
What is false?
Use ___ if 2 corresponding angles are congruent.
A ______ of a triangle is parallel to one side of the triangle and is 1/2 the length of that side
What is a midsegment?
What is the scale factor for C(2,7) C'(1, 3.5)?
What is 1/2?
Similar polygons have corresponding sides that are _________
What is proportional?
If all the corresponding sides of two triangles are proportional to each other, then ____ similarity is used to prove that they are similar.
What is SSS (Side-Side-Side)?
In triangle DEF, EH = 4, HF = 16, and DG is one-fourth the length of segment GF. Is segment DE parallel to segment GH?
What is yes?
What is the notation for a dilation with a scale factor of 3?
What is (x, y) → (3x, 3y)
Two triangles are similar. One has a side length of 5 units and the other corresponding side is 12 units. What is the scale factor?
What is 2.4?
Two triangles have two corresponding sides that are proportional and the angles included in those sides are congruent. These triangles are similar by ____.
What is SAS?
Frontage is the measure of a property's boundary that runs along the side of a particular feature such as a street, ocean, or river. Lot B's ocean frontage is 70 yd and Lot A's is unknown. Lot B's street frontage is 52 yd and Lot A's is 68 yd. Find the ocean frontage for Lot A to the nearest tenth of a yard.
What is 91.5 yd?
Triangle ABC has the following coordinates:
A (0, 5)
B (2, 2)
C (-2, 2)
If the triangle is dilated by a scale factor of 1/3, what are the new coordinates? (Answers as fractions)
What is
A' (0, 5/3)
B' (2/3, 2/3)
C' (-2/3, 2/3)
Write the similarity statement for the similar figures (drawn out) and include the scale factor.
What is CBAD ~ YXWZ, 3/2?
What is the similarity ratio of two triangles when one has side lengths 2, 4, 9 and the other has side lengths 4, 8, 18? And how are they similar?
What is 1/2 and SSS?
Bob started walking up a hill at a spot where the elevation is 0.7 km. After he walked 2 km, he saw a sign marking the elevation as 0.92 km. How far will he have walked once he reaches an elevation of 1.3 km? (Draw a diagram)
What is 5.5 km?