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WorksheetsModule1_EOM
Total questions: 10
Worksheet time: 3hrs 30mins
Consider the steps for four geometric constructions. Match each set of steps with the correct geometric construction. Drag each geometric construction to the box above the correct set of steps.
Draw AB.
Draw a circle with center at A
and a radius AB.
Draw a circle with center at B
and a radius BA.
Label one point of intersection of circles A and B as C.
Draw AC and BC.
create an equilateral triangle
Draw AB.
Draw a circle with center at A
and a radius AB.
Draw a circle with center at B
and a radius BA.
Label the points of intersections of circles A and B as C and D.
Draw CD.
construct a perpendicular bisector
Draw an angle and label the vertex B.
Draw EG.
Draw a circle with center at B.
Label the intersections of circle B with the sides of the angle as A
and C.
Draw a circle with center at E
and a radius BA.
Label the intersection of circle E with EG as F.
Draw a circle with center at F and a radius CA.
Label either intersection of circle E and circle F as D.
Draw ED.
copy an angle
Draw AB.
Draw a point not on AB
and label the point C.
Draw circle C
so that it intersects AB
at two distinct points.
Label the points of intersection as D
and E.
Draw circle D
with radius DE.
Draw circle E
with radius ED.
Label either intersection point of circles D
and E as F.
Draw CF.
a line perpendicular to a given line
CF is perpendicular to AB, and CF bisects AB. Points D and E are points on CF.
Which pairs of segments must be congruent? Select all that apply.
AE ≅BE
AB ≅ CF
CE ≅ EF
AD ≅ BD
AE ≅AF
Find the values for x and y.
(a)
Which rigid motion or sequence of rigid motions maps parallelogram ABCD onto parallelogram JKLM? Select all that apply.
Reflection across l1
Rotation of 180° about point P
Rotation of 180° about point P followed by a reflection across l2
Reflection across l1 followed by a 90° rotation about point P
Reflection across l1 followed by a second reflection across l2
In pentagons ABCDE and VWXYZ, AE ≅ AB ≅ VZ ≅ VW and ED ≅ DC ≅ BC ≅ ZY ≅ YX ≅ WX.
Are pentagons ABCDE and VWXYZ congruent and why?
Yes, because rigid motions map segments onto segments of equal length, and each side of ABCDE can be mapped onto a corresponding side of VWXYZ.
Yes, because rigid motions map angles onto angles of equal measure, and each angle of ABCDE
can be mapped onto a corresponding angle of VWXYZ.
No, because rigid motions map segments onto segments of equal length, and both ABCDE and VWXYZ have segments of two different lengths.
No, because rigid motions map angles onto angles of equal measure, and ABCDE has right angles while VWXYZ has no right angles.
Given: AB ∥ ED and AD and BE bisect each other
Part A
Complete the proof that △ABC≅△DEC. Select from the drop-down lists to justify the steps in the proof.
AB ∥ ED Given
AD and BE bisect each other Given
m∠ABC = m∠DEC (a)
m∠ACB = m∠DCE (b)
EC = BC (c)
△ABC ≅ △DEC is (d) congruence
Part B
Which rigid motion would map △ABC onto △DEC?
180°
rotation about the center of △ABC
reflection across a horizontal line through point C
180°
rotation about point C
reflection across a vertical line through point C
In △ABC, M is the centroid and AD, BE, and CF are all medians. (Figure is not drawn to scale.)
If EM=11, AM=16, and CF=27, what are the lengths of BE, DM, CM? (in that order)
(a)
Which triangle pairs are not necessarily congruent? Select all that apply.
In the figure, AB is a midsegment of △XYZ, CD is a midsegment of △XAB, and AY ≅ BZ.
Which statements are true? Select all that apply.
(a) (b) (c)
