"Geometry All Around Us"

Jake Greene
-SCROLL TO THE BOTTOM FOR ANSWERS-

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1) What are the values of x and y?

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2) The red figure is a regular polygon. What is one interior angle?

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3) A||B and C||D. What is the relationship between the two orange angles?

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4) These triangles are congruent by which postulate?

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5) The yellow triangle is right. Find the length of side x.

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6) What is the slope of the green line? What is the slope of the blue line?

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7) The orange angle multiplied by six equals the value of the orange angle plus the pink angle. What is the measure of the pink angle?

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8) What construction is this the start of? What would be the next step in this construction?

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9) The measure of angle x is 60 degrees. What is the measure of angle 1 and how do you know that?

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10) What is the relationship between the two blue lines?

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-ANSWERS-

1) x= 50 degrees and y= 130 degrees

2) 120 degrees

3) There is no relationship (they are NOT corresponding)

4) AAS (Angle Angle Side)

5) Sq. rt of 5 or 2.236

6) Blue line: m= -2/3. Green line: m= 3/2

7) Measure of pink angle= 360 degrees

8) This is an angle bisector construction. Bisect the brown line

9) Angle 1= 160 degrees. x is supplementary to angle 4. Angle 4 is an alternate exterior angle to angle 1.

10) The lines are co-planar or parallel.

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