Topic
Q:
Problem Set A
In problems 1-4, draw your own diagram and write "Given:" and
"Prove:" statements in terms of your diagram. Do not write a proof.
1 Given: An isosceles triangle and the median to the base
Prove: The median is the perpendicular bisector of the base. (This
sentence contains two conclusions- "the median is per-
pendicular to the base" and "the median bisects the
base.")
Q:
Multiple Choice 1 point
Triangle \( A B C \) was translated 2 units to the right and 3 units down. Which rule describes the
translation that was applied to triangle \( A B C \) to create triangle \( A^{\prime} B^{\prime} C^{\prime} \) ?
F \( (x, y) \rightarrow(x-3, y+2) \)
G \( (x, y) \rightarrow(x+2, y-3) \)
H \( (x, y) \rightarrow(2 x,-3 y) \)
J \( (x, y) \rightarrow(-3 x, 2 y) \)
Q:
16 Multiple Choice 1 point
Find the image of \( P(-2,4) \) under a translation along \( (x+6, y+5) \).
\( P^{\prime}(4,9) \)
\( P^{\prime}(-4,-9) \)
\( P^{\prime}(-8,-1) \)
\( P^{\prime}(8,1) \)
Q:
Reduce la ecuación dada a la
forma canónica y luego realiza su
gráfica.
a. \( x^{2}+4 x+32 y+4 y^{2}=64 \)
b. \( 9 x^{2}+4 y^{2}=36 \)
c. \( 12 y^{2}-144 x-48 y+18 x^{2}+120=0 \)
d. \( 3 x^{2}+4 x=3 y-y^{2}-1 \)
Q:
14. If the height of the thiangle is 9 ft what is the
area of the triangle?
A. \( 184 \mathrm{kt}^{2} \)
B. \( 148 \mathrm{kt}^{2} \)
C. \( 117 \mathrm{kt}^{2} \)
D. \( 178 \mathrm{kt}^{2} \)
Q:
a. \( m \angle 3+m \angle 5=180 \)
b. \( m \angle 2+m \angle 6=180 \)
c. \( m \angle 8=m \angle 1 \)
Q:
An architect is working on a design project comprised of triangles. He has 2 pieces of metal rods
measuring 8 feet and 11 feet for one of the triangles in the design. He would like the triangle to be
obtuse. What would be a possible length for the third metal rod if it is to be the longest rod? Be
sure to justify your answer.
Q:
1) Un cuadrado tiene un area de \( 36 \mathrm{~cm}^{2} \).
¿Cuánto mide su (a)do?
(a) 6 cm b) 9 cm ch 12 cm d) \( 18 \mathrm{cly/} \)
Q:
Un cuadrado tiene un area de 36 cm
¿Cuánto mide suladg?
\( \begin{array}{ll}\text { (a) } 6 \mathrm{~cm} \text { b) } 9 \mathrm{~cm} \text { di } & \mathrm{cm} \text { d) } 18 \mathrm{~cm}\end{array} \)
Q:
5. In Triangle \( M N O, \angle N \) is 5
times the measure of \( \angle M \), and
\( \angle O \) is 4 times the measure of
\( \angle M \).
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