Similar Triangles
No
Are these triangles similar?
yes, SAS
Are these triangles similar? How?
yes, SSS
Are these triangles similar? How?
yes, AA, 17.5
Are these triangles similar? How? Find the height of the tree.
BC=10; FE=13 1/3; CD=9; DE=15
CHALLENGE!!! Find BC, FE, CD, and DE if AB=6, AF=8, BC=x. CD=y, DE=2y-3, and FE=x+10/3.
CF=5 BD=13.5
CHALLENGE!!! Find CF and BD if BF bisects angle ABC and AC is parallel to ED, BA=6, BC=7.5, AC=9, and DE=9.
ABC similar to ACD; ABC similar to CBD; ACD similar to CBD; they are all similar by AA Similarity.
CHALLENGE!!! Triangle ABC is similar to the two triangles formed by altitude CD, and these two triangles are similar to each other. Write three similarity statements about these to each other
Yes, AA Sim
Determine whether the pair of triangles is similar. Justify your answer (AA Sim, SSS Sim, SAS Sim)
Yes, SAS Sim (1 to 1 ratio)
Determine whether the pair of triangles is similar. Justify your answer (AA Sim, SSS Sim, SAS Sim)
AE=15
Find AE if AB=12, AC=16, and ED=5.
CD=9
Find CD if AE=8, ED=4, and BE=6.
6
Find the length of BC
3
Find the length of CE
12.5
Find the perimeter of triangle WZX if it is similar to SRT given ST=6, WX=5, and the perimeter of triangle STR=15.
2
Find the scale (z00m) factor.
x=18 y=3
Find x and y.
x=2 y=5
Find x and y.
x=10
Find x so that GJ is parallel to KF if GF=18, HG=x-4, JK=15, and HJ=x-5.
x=8
Find x so that GJ is parallel to KF if GF=6, HG=12, HJ=8, and JK=x-4.
x=15
Find x.
x=6
Find x.
x=6.75
Find x.
triangle ADE is similar to triangle CBE; x=2; AE=8; DE=4
Identify the similar triangles. Find x and the measures of the indicated sides.
triangle PQR is similar to triangle TSR; x=40/3; PT=20/3; ST=50/3
Identify the similar triangles. Find x and the measures of the indicated sides.
AD=4
If DB=24, AE=3, and EC=18, find AD.
Answer #1: AA postulate
Question #1:
Answer #2: No, all corresponding angles in similar triangles need to be congruent.
Question #2:
Answer #3: Yes, ∆RKS ∼∆LPD
Question #3:
Answer #4: Yes, ∆RTV ∼∆STU
Question #4:
Answer #5: 45 and 1/3 feet
Question #5:
AAA
What shortcut shows that these triangles similar?
SAS
What shortcut shows that these triangles similar?
SSS
What shortcut shows that these triangles similar?
D
Which triangle is not similar?
5.6
find a
4.8
find b
SSS similarity
if three sides of one triangle are proportional to the three corresponding sides of another triangle, then the triangles are similar
AA similarity
if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar
SAS similarity
if two sides of one triangle are proportional to two sides of another triangle and their included angles are congruent, then the triangles are similar