Geometry

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exam__04.pdf

User: Aariella Albury E-Mail: [email protected] In Course: GEO ( 4498) Instructor: Kelly Dale

Exam: 04.06 Module Four Review and Practice Exam

Warning There is a checkbox at the bottom of the exam form that you MUST check prior to submitting this exam. Failure to do so may cause your work to be lost.

Question 1 (Multiple Choice Worth 1 points) (04.02 MC)

Are the following figures similar?

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Yes; the corresponding angles are congruent

Yes; the corresponding sides are proportional

No; the corresponding angles are not congruent

No; the corresponding sides are not proportional

Question 2 (Multiple Choice Worth 1 points) (04.01 MC)

The coordinates of trapezoid EFGH are E(4, 6), F(2, 3), G(4, 2), and H(8, 4). The image of EFGH under dilation is E'F'G'H'.

If the coordinates of vertex G' are (2, 1), what are the coordinates of vertex H'?

(4, 2)

(2, 1)

(4, 1)

(6, 2)

Question 3 (Multiple Choice Worth 1 points)

(04.01 HC)

Kyra is using rectangular tiles of two types for a floor design. A tile of each type is shown below:

Which statement is correct?

The two tiles are not similar because is 4 : 7 and is 1 : 3.

The two tiles are similar because is 4 : 3 and is also 4 : 3.

The two tiles are similar because is 7 : 4 and is also 7 : 4.

The two tiles are not similar because is 7 : 4 and is 4 : 3.

Question 4 (Multiple Choice Worth 1 points) (04.01 LC)

An artist designed a badge for a school club. Figure ABCD on the coordinate grid below shows the shape of the badge:

The badge is enlarged and plotted on the coordinate grid as figure JKLM with point J located at (−4, −7) and point M located at (−2, −3).

Which of these could be the coordinates for point L?

(−1, −7)

(3, −7)

(0, −3)

(2, −3)

Question 5 (Multiple Choice Worth 1 points) (04.01 LC)

Parallelogram FGHI on the coordinate plane below represents the drawing of a horse trail through a local park:

In order to build a scale model of the trail, the drawing is enlarged as parallelogram ABCD on the coordinate plane. If two corners of the trail are at point A (3, 8) and point D (1, 2), what is another point that could represent point B?

(10, 8)

(13, 8)

(8, 8)

(6, 8)

Question 6 (Multiple Choice Worth 1 points) (04.04 MC)

Triangle STU is similar to triangle VWX. If angle U measures 25 degrees and angle W measures 95 degrees, what is the measure of angle S?

25

60

70

95

Question 7 (Multiple Choice Worth 1 points) (04.01 LC)

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

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

4

2

Question 8 (Multiple Choice Worth 1 points) (04.04 LC)

Triangle ABC is similar to triangle DEF. Which statement is true about the two triangles?

Angles A and C are congruent.

Angles A and D are congruent.

Angles B and E are proportional.

Angles C and D are proportional.

Question 9 (Multiple Choice Worth 1 points) (04.02 LC)

In the figure below, triangle ABC is similar to triangle PQR, as shown below:

What is the length of side PQ?

100

76

64

128

Question 10 (Multiple Choice Worth 1 points) (04.01 MC)

Bradley and Kelly are out flying kites at a park one afternoon. A model of Bradley and Kelly's kites are shown below on the coordinate plane as kites BRAD and KELY, respectively:

Previous Question Next QuestionQuestion 1 (Answered) 0

Which statement is correct about the two kites?

They are similar because the corresponding sides of kites BRAD and KELY all have the relationship 1:2.

They are not similar because the corresponding sides of kites BRAD and KELY all have the relationship 1:2.

They are similar because the corresponding sides of kites BRAD and KELY all have the relationship 2:1.

They are not similar because the corresponding sides of kites BRAD and KELY all have the relationship 2:1.

Question 11 (Multiple Choice Worth 1 points) (04.04 LC)

Triangle GHI is dilated to create triangle JKL on a coordinate grid. You are given that angle H is congruent to angle K. What other information is required to prove that the two triangles are similar?

Angle I is congruent to angle L.

Segment GI is congruent to segment JL, and segment HI is congruent to segment KL.

Angle H is congruent to angle J.

Segments GH and JK are congruent.

Question 12 (Multiple Choice Worth 1 points) (04.04 MC)

Are the two triangles below similar?

Yes; they have congruent corresponding angles

No; they do not have congruent corresponding angles

Yes; they have proportional corresponding sides

No; they do not have proportional corresponding sides

Question 13 (Multiple Choice Worth 1 points) (04.02 MC)

Parallelogram ABCD is similar to parallelogram EFGH. Angle A is congruent

to the measure of angle ___.

E

F

G

H

Question 14 (Multiple Choice Worth 1 points) (04.01 MC)

Polygon PQRST shown below is dilated with a scale factor of 3, keeping the origin as the center of dilation:

Which statement about polygon PQRST and its image after dilation, polygon P'Q'R'S'T', is correct?

The lengths of side RQ and side R'Q' are in the ratio 1:3.

The length of diagonal RT is equal to the length of diagonal R'T'.

The measures of angle S and angle S' are in the ratio 1:3.

The length of side PQ is equal to the length of side P'Q'.

Question 15 (Multiple Choice Worth 1 points) (04.02 LC)

Triangle ABC is similar to triangle PQR, as shown below:

Which ratio is equal to r:c?

c:p

p:a

r:a

q:c

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