Bundle2-Pt.3

Shawna is using a compass and straightedge to perform a geometric construction, as shown below.

In the diagram, the arcs centered at K and Q have the same radius and MN=ST. Which statement about the figure must be TRUE?

• ΔKMN≅ΔQTS, and so PQ​ bisects ∠RQU

• ∠PQU≅∠PQR, and so PQ​ bisects ∠RQU

• ΔKMN≅ΔQTS, and so m∠RQU=m∠RQP+m∠JKL.

• ∠PQU≅∠PQR, and so m∠RQU=m∠RQP+m∠JKL.

In the figure below, Angle 1 is congruent to Angle 2.

What reason can be used to prove that m is parallel to n?

• If a pair of vertical angles is congruent, then the lines forming them are parallel.

• If a pair of angles formed by a transversal is corresponding and supplementary, then the two lines are parallel.

• If a pair of angles is congruent and the sum of their measures is 180º, then the lines forming the angles are parallel.

• If two lines are intersected by a transversal, and a pair of corresponding angles is congruent, then the two lines are parallel.

In the figure below, m∠BAD = 70°, m∠ABC = 110°, and m∠BCF = 70°.

Which statement about the figure is true?

• The only parallel line segments are AD and BC.

• The only parallel line segments are AB and CD.

• is parallel to BC and AB is parallel to CD.

• None of the line segments in the figure are parallel to each other.

Given △ABC and point D on AB, which of the following statements is correct?

• The measure of ∠CBD is the sum of the measures of ∠BAC and ∠ABC

• ∠CBD is complementary to ∠ABC

• The measure of ∠CBD is the sum of the measures of ∠BAC and ∠ACB

• ∠CBD is congruent to ∠ACB

The diagram below shows rectangle WXYZ with P as the intersection of the two diagonals.

If  WY=22 and XP=3x−2, which of the following can be used to find the value of x?

• The diagonals are congruent and bisect each other.

• The diagonals form two pairs of congruent vertical angles.

• The diagonals separate the rectangle into two congruent triangles.

• The diagonals form four pairs of congruent alternate interior angles.

In the diagram below, AB∥CD and BO≅CO.
Which reason justifies that ΔAOB≅ΔDOC?

• Angle-Side-Angle

• Side-Angle-Side

• Hypotenuse-Leg

• Side-Side-Side

On a coordinate grid, what is the distance between (1,3) and (6,15)

What is the x-value of the midpoint between A(-8,-6) and B(0,6)?

What is the slope of a line parallel to the graph of 4x-5y=14?

• 5/4

• 4/5

• -4/5

• -5/4

What is the slope of a line perpendicular to the graph of y-3=7-9/2x?

• -9/2

• 9/2

• -2/9

• 2/9