Question

If a series of rigid transformations maps ∠F onto ∠C where ∠F is congruent to ∠C, then which of the following statements is true?

triangles ABC and FDE, in which angles A and D are right angles

ΔABC ~ ΔFDE because of the definition of similarity in terms of similarity transformations
ΔABC ~ ΔFDE because of the AA similarity postulate
segment BC ~ segment EF because of the definition of similarity in terms of similarity transformations
segment BC ~ segment EF because corresponding parts of similar triangles are similar
Question 2(Multiple Choice Worth 5 points)
(03.06 LC)

Look at the figure below:

Triangle SRP has measure of angle SRP equal to 90 degrees. Q is a point on the hypotenuse SP such that the segment QR is perpendicular to PS. T is a point outside the triangle on the left of S so that triangle QTS has the measure of angle QTS equal to 90 degrees.

Which triangle is similar to triangle PQR?

Triangle RQS
Triangle QTS
Triangle STQ
Triangle SPR
Question 3(Multiple Choice Worth 5 points)
(03.01 LC)

Triangle J′K′L′ shown on the grid below is a dilation of triangle JKL using the origin as the center of dilation:

Two triangles on a grid. First triangle has vertices J 4 and 6, K 2 and 4, and L 6 and 3. Image triangle has vertices J prime 8 and 12, K prime 4 and 8, L prime 12 and 6.

Which scale factor was used to create triangle J′K′L′?

4
2
one quarter
one half
Question 4(Multiple Choice Worth 5 points)
(03.01 MC)

If ΔXYZ is dilated by a scale factor of 2 about point X, which of the following is true about line A prime Y prime?

Triangle XYZ is shown with line YA running vertically through the center of the figure.

line A prime Y prime is perpendicular to line AY.
line A prime Y prime is parallel to line AY.
line A prime Y prime passes through the center of dilation.
line A prime Y prime intersects with point X′.
Question 5(Multiple Choice Worth 5 points)
(03.03 MC)

If angle A is congruent to itself by the Reflexive Property, which transformation could be used to prove ΔABC ~ ΔADE by AA similarity postulate?

triangles ABC and ADE, in which point B is between points A and D and point C is between points A and E

Translate triangle ABC so that point B lies on point E to confirm ∠B ≅ ∠E.
Translate triangle ABC so that point C lies on point E to confirm ∠C ≅ ∠E.
Dilate ΔABC from point A by the ratio segment AD over segment AB to confirm segment AD ~ segment AB.
Dilate ΔABC from point A by the ratio segment AE over segment AC to

Answer 1

Are you cheating on an FLVS test?