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.

Tags

CCSS.HSG.SRT.B.5

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.

Tags

CCSS.8.G.A.5

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

Tags

CCSS.8.G.A.5

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

Tags

CCSS.HSG.SRT.B.5

If ΔABC≅ΔDEF and AB=8, BC=10, EF=2y+1, DE=2x-4. What is the correct equation?

• 8=2y+1

• 10=2x-4

• 2y+1=2x-4

• 8=2x-4

Tags

CCSS.HSG.CO.B.7

What statement does not provide enough information to conclude that triangles can be congruent?

• Corresponding sides of two triangles are congruent

• Corresponding angles of two triangles are congruent

• Two pair of adjacent sides and the angle in between are congruent

• Two pair of adjacent angles and the side in between are congruent

Tags

CCSS.HSG.SRT.B.5

Point B at (1,4) is reflected across the y-axis and then rotated 90 clockwise about the origin to point B'. What are the coordinates of point B'?

• (-1, -4)

• (-4, -1)

• (-4, 1)

• (4, 1)

Tags

CCSS.8.G.A.3

In a coordinate plane, which of the following functions dilates by a factor of 2 about the point (4, 6)?

• P(x,y)=

  (4+2(4-x), 6+2(6-y))

• P(x,y)=

  (4+2(x-4), 6+2(y-6))

• P(x,y)=(2(x-4), 2(y-6))

• P(x,y)= (2x+4, 2x+6)

Tags

CCSS.HSG.CO.A.2

Use the congruency statement to answer the following: 
<F = ___

• <H
• <I
• <G
• not congruent to another angle

Tags

CCSS.HSG.CO.B.7

What is the "reason" for step 5 of the proof?

• Angle Bisector Theorem
• Reflexive property
• CPCTC Theorem
• Proof

Tags

CCSS.HSG.SRT.B.5