Geometry EOC Review #4 (Lines & Angles)

The two given angles are ​ (a)   . The value of x is ​ ​ (b)   .

• Consecutive Interior Angles
• 12
• Alternative Interior Angles
• Vertical Angles
• Corresponding Angles
• 15
• 10.25

Answer explanation

Review this slide to remind you of the angle relationships formed by parallel lines and transversals.

Find the value of x, y, and z.

x = ​ ​ (a)  

y = ​ (b)  

z = ​ (c)  

• 6
• 65
• 29
• 45
• 13
• 8
• 33

Use the figure to match the following:

• 90

• 74

• AC

• 13

• x

• 74

• AB

• 70

• BC

Answer explanation

Remember... in an isosceles triangle, two sides are congruent and the base angles are congruent!

• Corresponding Angles
• Alternative Interior Angles
• Vertical Angles
• Consecutive Exterior Angles

What is the first step in constructing the angle bisector?

​ ​ (a)  

• Draw an arc that intersects both sides of angle
• Draw ray from the vertex through the intersection
• Draw a line segment connecting points 𝐵 and 𝐶.
• Draw arcs from B & C that intersect

• Adjust the compass width to be more than half of the length of the line segment. Then, draw an arc above and below line segment AB.

• Without changing the size of the compass opening, center the compass on point B and draw an arc above and below line segment AB so that these arcs intersect the other two arcs drawn.

• Using a straightedge, draw a line connecting the points where the arcs intersect.

Listed below, not in order, are the steps for copying ∠A using a compass and a straightedge.  Place the steps in the correct order. If necessary, watch the video!

• Draw a reference ray.

• Place the compass on the vertex of the original angle and draw an arc that intersects both legs.

• Without changing the setting, place the compass on the starting point of the ray and draw an arc intersecting the ray.

• Set the compass to the distance between the intersections of the first arc with the legs of the angle. Use this setting to draw a third arc centered where the second arc intersects the reference ray.

• Draw a ray from the vertex through the intersection of the arcs.

• Corresponding Angles
• Vertical Angles
• Transitive Property
• Alternate Interior Angles
• Alternate Exterior Angles

Reason 3 is ​​ ​ (a)  

• Definition of Supplementary Angles
• Definition of Complementary Angles
• Definition of Complementary Angles
• Linear Pair

The figure shows a two-dimensional representation of a bird made from origami paper. Select All the true statements.

• x = 5

• x = 35