If a new line, p , is drawn parallel to line l , which statement is true?
It is given that M is the midpoint of line segment PK and line segment PK perpendicular to line segment MB Midpoints divide a segment into two congruent segments, so line segment PM is congruent to line segment KM Since line segment PK perpendicular to line segment MB and perpendicular lines intersect at right angles, angle PMB and angle KMB are right angles. Right angles are congruent, so angle PMB is congruent to angle KMB The triangles share line segment MB , and the reflexive property justifies that line segment MB is congruent to line segment MB Therefore, triangle PMB is congruent to triangle KMB by the SAS congruence theorem. Thus, line segment BP is congruent to line segment BK because _____________. Finally, triangle PKB is isosceles because it has two congruent sides.
Based on the diagram, can point cap d be the centroid of triangle ACF ? Explain.
Which rigid transformation(s) can map triangle FGH onto triangle VWX ?
What is the length of line segment LJ ?
Which rule represents the translation from the pre-image, triangle ABC , to the image, triangle cap A prime cap b prime cap c prime ?
Which statement is true about angles 1 and 2 ?
Which statement is true about this transformation?
For the triangles to be similar by the SSS similarity theorem, what must be the value of y ?
Which rule describes the composition of transformations that maps triangle ABC to triangle cap A double prime cap b double prime cap c double prime ?
Which statement is true about the lengths of the sides?
Which figures are shown in the diagram? Choose three correct answers.
Which represents an exterior angle of triangle EGF ?
We know that angle 1 is congruent to angle 3 and that line a is parallel to line b because they are given. We see that __________ by the alternate exterior angles theorem. Therefore, angle 2 is congruent to angle 3 by the transitive property. So, we can conclude that lines e and f are parallel by the converse alternate exterior angles theorem. Which information is missing in the paragraph proof?
Which statements regarding triangle EFG are true? Choose three correct answers.
What is true about angle MSR ?
Which must be true?
What is the length of line segment SA ?
Ray LR is to be added to the diagram so that it is opposite ray LM Which is true about angle RLN that would be formed?
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