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

Tags

CCSS.7.G.B.5

Use the figure to match the following:

• 74

• AB

• 70

• BC

• 74

• 90

• AC

• 13

• x

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

Tags

CCSS.8.G.A.5

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

Tags

CCSS.HSG.CO.C.9

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

• 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.

• 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.

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!

• 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.

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

• Draw a reference ray.

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

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

Tags

CCSS.4.MD.C.6

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

Tags

CCSS.8.G.A.5

Reason 3 is ​​ ​ (a)  

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

Tags

CCSS.7.G.B.5

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

• x = 5

• x = 35

Tags

CCSS.7.G.B.5