Long-Term Memory Review Week 10

On a set of parallel lines cut by a transversal, 𝑚∠2 = (7𝑥 − 5)° and 𝑚∠6 = (𝑥 +25)°. Which value of 𝑥 could show that ∠2 and ∠6 are corresponding angles, and why?

• 𝑥 = 5; Corresponding angles are congruent.

• 𝑥 = 20; Corresponding angles are congruent.

• 𝑥 = 5; Corresponding angles are supplementary.

• 𝑥 = 20; Corresponding angles are supplementary.

formed by 2 rays or line segments that share the same endpoint

• line segment
• angle
• point

lines that cross or meet to form a right angle

• line segments
• parallel lines
• perpendicular lines

lines that never cross or meet and are the same distance apart

• intersecting lines
• parallel lines
• perpendicular lines

a part of a line that has 2 endpoints

• line segment
• ray
• angle

Tags

CCSS.4.G.A.1

The set of all points in a plane that are a fixed distance from a point called the center.

• Perpendicular Lines

• Circle

• Angle

• Plane

A student followed the given steps below to complete a construction given a line segment.

Step 1: Place the compass on one endpoint of the line segment.

Step 2: Extend the compass from the chosen endpoint so that the width of the compass is more than half the distance between the two points.

Step 3: Without changing the compass width, draw an arc on each side of the line segment.

Step 4: Without changing the compass width, repeat the process from Step 3 on the other endpoint of the line segment, making sure that the two new arcs intersect the first two arcs that were constructed.

Step 5: Plot a point on the intersection of the two arcs on each side of the line segment.

Step 6: Use a straightedge to draw a line between the two points.

Which type of construction is best represented by the steps given above?

• perpendicular bisector of a line segment

• angle congruent to a given angle

• parallel line through a point not on the given line

• bisector of an angle

Triangle 𝑄′𝑅′𝑆′(Red) is a translation of triangle 𝑄𝑅𝑆(Blue). Which transformation created triangle Q'R'S'?

• translation 3 units left and 5 units up

• translation 5 units left and 3 units up

• translation 3 units right and 5 units down

• translation 5 units right and 3 units down