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Mathematics, 03.11.2020 17:30 july00

Figure MNOP is reflected about the x-axis to obtain figure M'N'O'P': A coordinate grid is shown from negative 4 to 0 to 4 on both x- and y-axes. A polygon MNOP has M at ordered pair 1, 3, N at ordered pair 2, 1, O at ordered pair 3, 1 P at ordered pair 4 and 2. A polygon M prime N prime O prime P prime has M prime at 1, negative 3, N prime at ordered pair 2, negative 1, O prime at ordered pair 3, negative 1, and P prime at ordered pair 4, negative 2.

Which statement best describes the relationship between the two figures?

Figure MNOP is bigger than figure M'N'O'P'.
The measure of angle O is equal to the measure of angle M'.
The measure of angle O is equal to the measure of angle P'.
Figure MNOP is similar to figure M'N'O'P'.
Question 2(Multiple Choice Worth 1 points)

(02.03 LC)

Triangle ABC is transformed to triangle A′B′C′, as shown below:

A coordinate grid is shown from negative 4 to 0 to 4 on both x- and y-axes. A triangle ABC has A at ordered pair 3, 0, B at ordered pair 4, negative 2, C at ordered pair 1, negative 3. A triangle A prime B prime C prime has A prime at ordered pair negative 3, 0, B prime at ordered pair negative 4, negative 2, C prime at ordered pair negative1, negative 3.

Which equation shows the correct relationship between the measures of the angles of the two triangles?

The measure of angle ABC = The measure of angle B prime C prime A prime
The measure of angle ABC = The measure of angle C prime A prime B
The measure of angle BCA = The measure of angle C prime A prime B prime
The measure of angle BCA = The measure of angle B prime C prime A prime
Question 3(Multiple Choice Worth 1 points)

(02.07 LC)

Which relationship is always correct for the angles x, y, and z of triangle ABC?

A triangle ABC has angle ABC labeled as y, angle ACB labeled as z, and the exterior angle at A labeled as x.

x + z = y
y + z = x
x + y + z = 180 degrees
x + y + z = 90 degrees
Question 4(Multiple Choice Worth 1 points)

(02.06 LC)

A pair of parallel lines is cut by a transversal as shown below:

A pair of parallel lines is cut by a transversal. The exterior angle made on the left by the intersection of the upper parallel line and the transversal is labeled as m. The interior angle made on the left by the intersection of the lower parallel line and the transversal is labeled as n.

Which of the following best represents the relationship between angles m and n?

m = 180 degrees − n
n = 180 degrees − m
m = n
n = 2m
Question 5(Multiple Choice Worth 1 points)

(02.07 HC)

The figure shows two parallel lines PQ and ST cut by the transversals PT and QS:

PQ and ST are parallel lines and PT and QS are transversals. The transversals intersect at R. Angle RPQ is labeled 1, angle PQR is labeled 2, angle PRQ is labeled 3, angle SRT is labeled 4, angle RST is labeled 6, and angle RTS is labeled 5.

Which statement best explains the relationship between Triangle PQR and Triangle TSR?

Triangle PQR is similar to triangle TSR because measure of angle 3 equals measure of angle 4 and measure of angle 1 equals measure of angle 5
Triangle PQR is congruent to triangle TSR because measure of angle 3 equals measure of angle 4 and measure of angle 1 equals measure of angle 5
Triangle PQR is similar to triangle TSR because measure of angle 3 equals measure of angle 6 and measure of angle 1 equals measure of angle 4
Triangle PQR is congruent to triangle TSR because measure of angle 3 equals measure of angle 6 and measure of angle 1 equals measure of angle 4
Question 6(Multiple Choice Worth 1 points)

(02.03 MC)

Polygons ABCD and A'B'C'D' are shown on the following coordinate grid:A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A polygon ABCD is shown with vertex A on ordered pair 2, negative 2, vertex B on ordered pair 4, negative 2, vertex C on ordered pair 1, negative 3 and vertex D on ordered pair 5, negative 3. A polygon A prime B prime C prime D prime is shown with vertex A prime on ordered pair 1, 2 , vertex B prime on ordered pair 1, 4, vertex C prime on ordered 2, 1 and vertex D prime on ordered pair 2, 5.

What set of transformations is performed on ABCD to form A'B'C'D'?

A 90-degree counterclockwise rotation about the origin followed by a translation 1 unit to the left
A translation 1 unit to the left followed by a 90-degree counterclockwise rotation about the origin
A 270-degree counterclockwise rotation about the origin followed by a translation 1 unit to the left
A translation 1 unit to the left followed by a 270-degree counterclockwise rotation about the origin

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Figure MNOP is reflected about the x-axis to obtain figure M'N'O'P': A coordinate grid is shown fro...
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