IXL - Proofs involving triangles I (Geometry practice)

Complete the proof that

∠

90°

	Statement	Reason
1	segmentsegmentVX is perpendicular to segmentsegmentWX	Given
2	measure of angle X equals 90 degrees	Definition of perpendicular lines
3	measure of angle V plus measure of angle W plus measure of angle X equals 180 degrees
4	measure of angle V plus measure of angle W plus 90 degrees equals 180 degrees	Substitution
5	measure of angle W plus measure of angle V equals 90 degrees	Properties of addition, subtraction, multiplication, and division

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Complete the proof that

∠

90°

	Statement	Reason
1	segmentsegmentXY is perpendicular to segmentsegmentWY	Given
2	measure of angle Y equals 90 degrees	Definition of perpendicular lines
3	measure of angle W plus measure of angle X plus measure of angle Y equals 180 degrees	Triangle Angle Sum Theorem
4	measure of angle W plus measure of angle X plus 90 degrees equals 180 degrees	Text field with dropdown. Use the down arrow key to hear the options, press spacebar to select.
5	measure of angle W plus measure of angle X equals 90 degrees	Properties of addition, subtraction, multiplication, and division

Choose the reason that justifies the statement on line 4. Substitution lets you deduce

∠

90°

180°

from

∠

90°

in line 2 and

∠

180°

in line 3.

	Statement	Reason
1	segmentsegmentXY is perpendicular to segmentsegmentWY	Given
2	measure of angle Y equals 90 degrees	Definition of perpendicular lines
3	measure of angle W plus measure of angle X plus measure of angle Y equals 180 degrees	Triangle Angle Sum Theorem
4	measure of angle W plus measure of angle X plus 90 degrees equals 180 degrees	Substitution
5	measure of angle W plus measure of angle X equals 90 degrees	Properties of addition, subtraction, multiplication, and division

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