Answers MISD-Geometry-RECOVERY-A-2019-2020Directed Line Segments and Modeling

Unit Test Answers

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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)

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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

If point P is of the distance from M to N, what ratio does the point P partition the directed line segment from M to N into?

4:1

4:3

4:7

4:10

Triangle ABC was dilated using the rule .

10 units

12 units

16 units

20 units

If an image of a triangle is congruent to the pre-image, what is the scale factor of the dilation?

0.1

Option

Triangle N T M is shown. Angle N T M is a right angle. An altitude is drawn from point T to point U on side N M to form a right angle. The length of N T is y, the length of T M is 6, the length of N U is 9, and the length of U M is 3.

units

units

units

Triangle TVW is dilated according to the ruleDO,(x,y) to create the image triangle T'V'W', which is not shown.

T'(-3, 6) and V'(0, 3)

T'(-3, 6) and V'(0, 1)

T'(-1, 2) and V'(0, 3)

T'(-1, 2) and V'(0, 1)

Triangle S R Q is shown. Angle S R Q is a right angle. An altitude is drawn from point R to point T on side S Q to form a right angle. The length of S T is 9 and the length of T Q is 16. The length of R T is x.

12 units

15 units

20 units

25 units

Triangle L M N is cut by line segment O P. Line segment O P goes from side M L to side M N. The length of O L is 14, the length of O M is 28, the length of M P is y, and the length of P N is 18.

Which best explains why all equilateral triangles are similar?

All equilateral triangles can be mapped onto each other using dilations.

All equilateral triangles can be mapped onto each other using rigid transformations.

All equilateral triangles can be mapped onto each other using combinations of dilations and rigid transformations.

All equilateral triangles are congruent and therefore similar, with side lengths in a 1:1 ratio.

Triangles R S T and V U T are connected at point T. Angles R S T and V U T are right angles. The length of side R S is 12 and the length of side S T is 16. The length of side T U is 8 and the length of U V is 6.

StartFraction R S Over V U EndFraction = StartFraction S T Over U T EndFraction and angle S is-congruent-to angle U

StartFraction R S Over V U EndFraction = StartFraction S T Over U T EndFraction = StartFraction R T Over V T EndFraction

StartFraction R S Over V U EndFraction = StartFraction T U Over T S EndFraction and angle S is-congruent-to angle U

StartFraction R S Over V U EndFraction = StartFraction T U Over T S EndFraction = StartFraction R T Over V T EndFraction

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.

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

Question text not available

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.

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.

Triangle S R Q is shown. Angle S R Q is a right angle. An altitude is drawn from point R to point T on side S Q to form a right angle. The length of T Q is 16 and the length of R Q is 20.

9 units

12 units

15 units

18 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

Triangle RST was dilated by a scale factor of . The image, triangle R'S'T', is an isosceles triangle, with each leg measuring 8 units.

4 units

8 units

16 units

20 units

Consider the two triangles.

Option

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)

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.