Answers 2026 FPC SAP 1206315-Geometry CR S2Unit Test

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Quadrilateral JKLM was dilated according to the ruleDO,(x,y) to create the image quadrilateral J'K'L'M', which is shown on the graph.

(0, -4)

(0, -1)

(0, 0)

(0, 4)

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Consider △RST and △RYX.

StartFraction R Y Over Y S EndFraction = StartFraction R X Over X T EndFraction = StartFraction X Y Over T S EndFraction

StartFraction R Y Over R S EndFraction = StartFraction R X Over R T EndFraction = StartFraction X Y Over T S EndFraction

StartFraction R Y Over R S EndFraction = StartFraction R X Over R T EndFraction = StartFraction R S Over R Y EndFraction

StartFraction R Y Over R X EndFraction = StartFraction R S Over R T EndFraction = StartFraction X Y Over T S EndFraction

Triangles A B C and A double-prime B double-prime C double-prime connect at point C. Triangle A B C is rotated and then made smaller to form triangle A double-prime B double-prime C double-prime.

a rotation and a reflection

a translation and a dilation

a reflection and a dilation

a dilation and a rotation

Triangle R Q S is cut by line segment T V. Line segment T V goes from side Q R to side R S. The length of R V is x + 10, the length of V S is x, the length of R T is x + 4, and the length of T Q is x minus 3.

In the diagram, DG = 12, GF = 4, EH = 9, and HF = 3.

∠DFE is 4 times greater than ∠GFH.

∠FHG is the measure of ∠FED.

∠DFE is congruent to ∠GFH.

∠FHG is congruent to ∠EFD.

On a coordinate plane, a line is drawn from Rock to Tree. The x- and y-axes are labeled feet. Rock is at (3, 2) and Tree is at (16, 21).

(11.4, 14.2)

(7.6, 8.8)

(5.7, 7.5)

(10.2, 12.6)

On a coordinate plane, Rectangles A B C D and E F G H are shown. The length of side A B is 6 units and the length of side B C is 3 units. The length of side E F is 8 units and the length of side F G is 4 units.

Yes, because corresponding sides are parallel and have lengths in the ratio

Yes, because both figures are rectangles and all rectangles are similar.

No, because the center of dilation is not at (0, 0).

No, because corresponding sides have different slopes.

Read the proof.Given: AB ∥ DEProve: △ACB ~ △DCE

AA similarity theorem.

SSS similarity theorem.

AAS similarity theorem.

ASA similarity theorem.

Triangle ABC was dilated using the rule .

10 units

12 units

16 units

20 units

On a number line, the directed line segment from Q to S has endpoints Q at –14 and S at 2. Point R partitions the directed line segment from Q to S in a 3:5 ratio.Which expression correctly uses the formula to find the location of point R?

(StartFraction 3 Over 3 + 5 EndFraction) (2 minus (negative 14)) + (negative 14)

(StartFraction 3 Over 3 + 5 EndFraction) (negative 14 minus 2) + 2

(StartFraction 3 Over 3 + 5 EndFraction) (2 minus 14) + 14

StartFraction 3 Over 3 + 5 EndFraction (negative 14 minus 2) minus 2

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3 ft

4 ft

18 ft

12 ft

Point P is the center of dilation. Triangle A B C is dilated to create triangle A prime B prime C prime. The length of P A is 2 and the length of P B is 3. The Length of A A prime is 4 and the length of B B prime is 5.

Yes, it is an enlargement with a scale factor of 3.

Yes, it is an enlargement with a scale factor of .

No, it is not a dilation because the points of the image are not moved away from the center of dilation proportionally.

No, it is not a dilation because the sides of the image are proportionally reduced from the pre-image.

On a coordinate plane, a line is drawn from point A to point B. Point A is at (9, negative 8) and point B is at (negative 6, 7).

(2, –1)

(4, –3)

(–1, 2)

(3, –2)

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