Similarity Problem 1
|
Given: Points A, B, C, D are collinear. The figure ABCD is similar to PQRS with ratio of similitude (scaling factor) from ABCD to PQRS = 2/3.
(FIGURE NOT DRAWN TO SCALE.) Find the following distances, given the clues. |
|
|
PQ = ____ |
RS = ____ |
|
QR = ____ |
PS = ____ |
|
CLUES: |
|
|
AB
= 6 |
CD
= 4 |
|
BC
= 2 |
AD
= 12 |
Similarity Problem 2
|
Given: ABC is a triangle. The figure ABC is similar to PQR.
(FIGURE NOT DRAWN TO SCALE.) Find the following distances, given the clues. |
|
|
PQ = ____ |
RP = ____ |
|
QR = ____ |
|
|
CLUES: |
|
|
AB
= 14 |
CA
= 6 |
|
BC
= 9 |
Scaling
factor from ABC to PQR = 3/5. |
Similarity Problem 3
|
Given: ABC is a triangle. The figure ABC is similar to PQR.
(FIGURE NOT DRAWN TO SCALE.) Find the following distances, given the clues. |
|
|
RP = ____ |
Scaling factor from ABC to PQR = ____ |
|
QR = ____ |
|
|
CLUES: |
|
|
AB
= 6 |
CA
= 8 |
|
BC
= 12 |
PQ
= 9 |
Similarity Problem 4
|
Given: ABC and PQR are triangles.
(FIGURE NOT DRAWN TO SCALE.) Find the following distances, or answer the questions, given the clues. |
|
|
Is PQR similar to ABC? Why? ___________ |
If the triangles are similar, what is the scaling factor from ABC to
PQR? ___________ |
|
RP = ____ |
|
|
CLUES: |
|
|
Angle
ABC = Angle PQR |
CA
= 12 |
|
AB
= 5 |
PQ
= 3 |
|
BC
= 15 |
QR
= 9 |
Similarity Problem 5
|
Given: Points A, B, C, D are collinear. The figure ABCD is similar to PQRS.
(FIGURE NOT DRAWN TO SCALE.) Find the following distances, given the clues. |
|
|
PQ = ____ |
RS = ____ |
|
Ratio of similitude (scaling factor) from ABCD to PQRS = ____ |
|
|
CLUES: |
|
|
AB
= 3 |
CD
= 1 |
|
BC
= 2 |
QR
= Sqrt(2) |
Similarity Problem 6
|
Given: ABC is an isosceles triangle, with AB = AC.
(FIGURE NOT DRAWN TO SCALE.) Find the following distances, or answer the questions, given the clues. |
|
|
Is CDB similar to ABC? Why? ___________ |
If the triangles are similar, what is the scaling factor from ABC to
CDB? ___________ |
|
BD = ____ |
AD = ____ |
|
CLUES: |
|
|
CB
= CD |
AC
= 12 |
|
CB
= 5 |
|
Similarity Problem 7
|
Given: ABC is right triangle, with angle ACB a right angle.
(FIGURE NOT DRAWN TO SCALE.) Find the following distances, or answer the questions, given the clues. |
|
|
Is ACD similar to ABC? Why? ___________ |
If the triangles are similar, what is the scaling factor from ACD to
ABC? ___________ |
|
AD = ____ |
CD = ____ |
|
CLUES: |
|
|
Angle
ADC is a right angle. |
AC
= 12 |
|
AB
= 15 |
BC
= 9 |
