ACT 1 Geo: Use various methods including AA

$Q1:$ Each of the following statements is true EXCEPT:

$Q_{2}:$ The method that, if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

$Q_{3}:$ The relation between $\Delta TUV, \Delta WXV$?

$Q_{4}:$ Given $\Delta AMN \sim \Delta ABC$, find $\overline{BC}$?

$Q_{5}:$ In Figure, $\Delta ABE$ is similar to $\Delta ACD$. What is the value of $x$?

$Q_{6}:$ In Figure, triangles $ABC$ and $CBD$ are similar. What is the area of triangle $CBD $?

$Q_{7}:$ In figure, if triangles $ABC$ and $RST$ are similar, what is the value of $a$?

$Q_{8}:$ In figure, if triangles $ABC$ and $RST$ are similar, what is the value of $a$?

$Q_{9}:$ In figure, if triangles $ABC$ and $LMN$ are similar, what is the value of $c$?

$Q_{10}:$ In figure, if triangles $ABC$ and $LMN$ are similar, what is the value of $c$?

$Q_{11}:$ Let $FG$ is twice as long as $AB$. If the area of triangle $FGH$ is $0.5$, what is the area of triangle $ABC $?

$Q_{12}:$ f the length of $DB$ is half of the length of $AD$ and $BC \parallel DE$, then the area of triangle $ADE$ is what fraction of the area of triangle $ABC $?

$Q_{13}:$ Find the length of $\overline{ED}$ in the diagram below

$Q_{14}:$ In the figure shown below, $AB$ is parallel to $DE$, and $AE$ intersects $BD$ at point $C$. Triangle $ABC$ and triangle $CDE$ are similar. What is the perimeter of triangle $CDE$?

$Q_{15}:$ Based on the given figure, which of the following equals $\frac{BA}{EF}$?

$Q_{16}:$ In the figure below, $\overline{AB} \parallel \overline{DE}$. Find $CD$?

$Q_{17}:$ In the figure below, $\overline{AB} \parallel \overline{DE}$. Find $CE$?

$Q_{18}:$ A person $6$ feet tall stands so that the ends of his shadow and the shadow of the pole coincide. The length of the person’s shadow was measured $7.5$ feet and the length of the pole’s shadow, $SD$, was measured $18$ feet. How tall is the pole?

$Q_{19}:$ In the following figure, triangles $ABC$ and $DEF$ are similar. Which of the following expressions represents the area of $DEF$ in terms of $x$ and $y $?

$Q_{20}:$ In figure below, the value of $x$ is?

$Q_{21}:$ You have two triangles, and one triangle has two angles congruent to the corresponding angles of the other triangle. Which similarity criterion can be used to conclude that the triangles are similar?

$Q_{22}:$ Two triangles have the same measure of one angle in each triangle and the lengths of the sides containing these angles are proportional. Which similarity criterion can be used to conclude that the triangles are similar?

$Q_{23}:$ In two triangles, all three pairs of corresponding sides are proportional. Which similarity criterion can be used to conclude that the triangles are similar?

$Q_{24}:$ Two triangles have two pairs of congruent angles. Which similarity criterion can be used to conclude that the triangles are similar?

$Q_{25}:$ You have two triangles, and all three sides of one triangle are proportional to the corresponding sides of the other triangle. Which similarity criterion can be used to conclude that the triangles are similar?