Help me and get 100 points tell me the correct answer to the ones I got wrong. Question 5 (Worth 1 points)
(03.01 MC)

Quadrilateral ABCD is dilated by a scale factor of 2 centered around (2, 2).

quadrilateral ABCD shown on coordinate plane with coordinates at 1 comma 2, 2 comma 3, 4 comma 2, and 2 comma 1

Which statement is true about the dilation?

segment B prime D prime will run through (2, 2) and will be shorter than segment BD.

segment B prime D prime will run through (2, 2) and will be longer than segment BD.

segment B prime D prime will be parallel to segment BD and will be shorter than segment BD.

Feedback for this selection: The scale factor is greater than 1, making this an enlargement. The original segment BD runs through the center of dilation and will not shift over after the enlargement.

segment B prime D prime will be parallel to segment BD and will be longer than segment BD.

Question 7 (Worth 1 points)
(03.02 MC)

Decide whether the triangles are similar. If so, determine the appropriate expression to solve for x.

Triangles ABC and EDF; triangle ABC has angle A measuring 53 degrees, angle C measuring 62 degrees, side AC labeled as y, side AB labeled as w, and side BC labeled as x; triangle EDF has angle D measuring 65 degrees, angle F measuring 53 degrees, side DE labeled z, side EF labeled u, and side DF labeled r.

The triangles are not similar; no expression for x can be found.

ΔABC ~ ΔDEF; x equals r times w over u

ΔABC ~ ΔEFD; x equals r times w over z

Feedback for this selection: The triangles are similar, but be careful with naming. Angles A and E cannot correspond because they do not have the same degree measure. They cannot both be the first letter in the naming of the similar triangles. This will also affect the proportion that is set up.

ΔABC ~ ΔFDE; x equals z times w over r

Question 8 (Worth 1 points)
(03.05, 03.06 MC)

Look at the figure shown below:

A triangle RPQ is shown. S is a point on side PQ, and T is a point on side PR. Points S and T are joined using a straight line. The length of PS is equal to 28, the length of SQ is equal to 12, the length of PT is equal to x, and the length of TR is equal to 15.

Patricia is writing statements as shown below to prove that if segment ST is parallel to segment RQ, then x = 35:

Statement Reason
1. Segment ST is parallel to segment QR. Given
2. Angle QRT is congruent to angle STP. Corresponding angles formed by parallel lines and their transversal are congruent.
3. Angle SPT is congruent to angle QPR. Reflexive property of angles
4. Triangle SPT is similar to triangle QPR. Angle-Angle Similarity Postulate
5. ? Corresponding sides of similar triangles are in proportion.

Which equation can she use as statement 5?
x:15 = 28:40

28:12 = x:(x + 15 )

x + 15 = 28 + 12

Feedback for this selection: When writing the proportion for the two triangles, the little triangle and the big triangle, ratios, or fractions, must be present. Here the lengths of the sides of the big triangle are represented, but there is no proportion because the lengths of the small triangle are not represented in ratio to the big triangle.

28:40 = x:(x + 15)

Question 9 (Worth 1 points)
(02.01 HC)

Triangle HAM is reflected over the y-axis using the rule (x, y) → (−x, y) to create triangle H′A′M′. If a line segment is drawn from point A to point A′, which statement would best describe the line segment drawn in relation to the y-axis?

They create concentric circles.

They are parallel to each other.

The y-axis is a bisector of the segment drawn.

The segment drawn and the y-axis are congruent to each other.

Feedback for this selection: The y-axis is infinitely long and has no length. It cannot be congruent to any other line segment.

Question 13 (Worth 1 points)
(02.01, 02.02 MC)

Which sequence of transformations will map figure Q onto figure Q′?

Two congruent quadrilaterals are shown on a coordinate plane; quadrilateral Q with coordinates negative 9 comma 2, negative 6 comma 4, negative 4 comma 4, and negative 2 comma 2; quadrilateral Q prime with coordinates 2 comma 2, 4 comma 4, 6 comma 4, and 9 comma 2.

Translation of (x, y + 2), reflection over x = 1, and 180° rotation about the origin

Translation of (x, y − 2), reflection over x = 1, and 180° rotation about the origin

Feedback for this selection: When the figure is reflected over the vertical line x = 1, and then rotated 180° about the origin, it will be upside down relative to what the final position shows.

Translation of (x, y − 2), reflection over y = 1, and 180° rotation about the origin

Translation of (x, y + 2), reflection over y = 1, and 180° rotation about the origin