Question

Which option**best**classifies Saul’s statements?

Statement 1 is a theorem because it can be proved, and Statement 2 is a postulate because it is a true fact. Statement 1 and Statement 2 are theorems because they can be proved. Statement 1 and Statement 2 are postulates because they are true facts. Statement 1 is a postulate because it is a true fact, and Statement 2 is a theorem because it can be proved.

Question 27 (Muiple Choice Worth 1 points)

(04.02 MC)

Trapezoid ABCD is similar to trapezoid EFGH. Side AD is proportional to side ___.

EF FG GH EH

Question 28 (Muiple 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:

Which statement is correct about the two kites?

They are not similar because is 1:2 and is 2:1. They are similar because is 1:2 and is 1:2. They are not similar because is 1:2 and is 2:1. They are similar because is 2:1 and is 2:1.

Question 29 (Muiple Choice Worth 1 points)

(01.02 MC)

Dan uses a compass to draw an arc from Q as shown. He wants to construct a line segment through R that makes the same angle with as , as shown below:

Which figure shows the next step to construct a congruent angle at R?

Question 30 (Muiple Choice Worth 1 points)

(03.04 MC)

The figure below shows a parallelogram ABCD. Side AB is parallel to side DC, and side AD is parallel to side BC:

A student wrote the following sentences to prove that the two pairs of parallel opposite sides of parallelogram ABCD are congruent:

For triangles ABD and CDB, aernate interior angles ABD and CDB are congruent because AB and DC are parallel lines. Aernate interior angles ADB and CBD are congruent because AD and BC are parallel lines. DB is congruent to DB by transitive property. The triangles ABD and CDB are congruent by ASA postulate. As corresponding parts of congruent triangles are congruent, AB is congruent to DC and AD is congruent to BC by CPCTC.

Which statement best describes a flaw in the student’s proof?

Angles ADB and CBD are congruent because they are corresponding angles. Angles ADB and CBD are congruent because they are vertical angles. DB is congruent to DB by reflexive property. DB is congruent to DB by associative property.

Question 31 (Muiple Choice Worth 1 points)

(05.03 MC)

Look at the figure below:

Based on the figure, which pair of triangles is congruent by the Side Angle Side Postulate?

Triangle ABE and Triangle CBE Triangle AEB and Triangle CED Triangle BEC and Triangle DEC Triangle ABC and Triangle DCE

Question 32 (Muiple Choice Worth 1 points)

(02.02 MC)

Trapezoid ABCD is reflected over the line y = x. What rule shows the input and output of the reflection, and what is the new coordinate of A’?

(x, y) → (y, −x); A’ is at (1, 5) (x, y) → (y, x); A’ is at (1, −5) (x, y) → (−x, y); A’ is at (5, 1) (x, y) → (−x, −y); A’ is at (5, −1)

Question 33 (Muiple Choice Worth 1 points)

(04.04 MC)

Triangle RST is dilated to create triangle UVW on a coordinate grid. You are given that angle T is congruent to angle W. What other information is required to prove that the two triangles are similar?

Segments RS and UV are congruent. Angle S is congruent to angle V. Segment RT is congruent to segment UW, and segment ST is congruent to segment VW. Angle S is congruent to angle U.

Question 34 (Muiple Choice Worth 1 points)

(01.05 MC)

What construction does the image below demonstrate?

An equilateral triangle circumscribed about a circle An equilateral triangle inscribed in a circle The circumcenter of an equilateral triangle The incenter of an equilateral triangle

Question 35 (Muiple Choice Worth 1 points)

(04.04 MC)

Are the two triangles below similar?

Yes; they have congruent corresponding angles. Yes; they have proportional corresponding sides. No; they do not have proportional corresponding sides. No; they do not have congruent corresponding angles.

Question 36 (Muiple Choice Worth 1 points)

(02.03 MC)

Kite ABCD is rotated 180 degrees clockwise about the origin and then reflected over the y-axis, followed by a reflection over the x-axis. What is the location of point A after the transformations are complete?

(5, −1) (−5, 1) (−5, −1) (5, 1)

Question 37 (Muiple Choice Worth 1 points)

(02.02 MC)

What set of reflections would carry trapezoid ABCD onto itself?

x-axis, y=x, y-axis, x-axis x-axis, y-axis, x-axis y=x, x-axis, x-axis y-axis, x-axis, y-axis, x-axis

Question 38 (Muiple Choice Worth 1 points)

(02.05 MC)

Triangle ABC has been translated to create triangle A’B’C’. Angles C and C’ are both 32 degrees, angles B and B’ are both 72 degrees, and sides BC and B’C’ are both 5 units long. Which postulate below would prove the two triangles are congruent?

SSS SAS ASA AAS

Question 39 (Muiple Choice Worth 1 points)

(02.01 MC)

Triangle END is translated using the rule (x, y) → (x − 4, y − 1) to create triangle E’N’D’. If a line segment is drawn from point E to point E’ and from point N to point N’, which statement would **best**describe the line segments drawn?

They are parallel and congruent. They are perpendicular to each other. They share the same midpoints. They create diameters of concentric circles.

Question 40 (Muiple Choice Worth 1 points)

(04.04 MC)

If triangle ABC is similar to triangle DEF, which statement is true about the two triangles?

Segment AB is congruent to segment DE, and angles C and F are congruent. Segment BC is proportional to segment EF, and angles A and D are congruent. Segment AB is congruent to segment DE, and angles C and F are proportional. Segment BC is proportional to segment EF, and angles A and D are proportional.

Math