Illustrative Mathematics - Geometry - Unit 7 - Lesson 1

Last updated over 3 years ago

13 Nsɛmmisa

G.C.2

G.CO.1

G.SRT.5

G.C.2

G.CO.1

G.SRT.5

G.C.2

G.CO.1

G.SRT.5

G.C.2

G.CO.1

G.SRT.5

G.C.2

G.CO.1

G.SRT.5

G.C.2

G.CO.1

G.SRT.5

Illustrative Mathematics - Geometry - Unit 7 - Lesson 1

Last updated over 3 years ago

13 Nsɛmmisa

Find the values of x, y, and z.

G.C.2

G.CO.1

G.SRT.5

Write an equation of the altitude from vertex A.

G.C.2

G.CO.1

G.SRT.5

Triangle ABC has vertices at (5,0),(1,6) and (9,3). What is the point of intersection of the triangle’s medians?

The medians do not intersect in a single point.

(3,3)

(5,3)

(3,4.5)

G.C.2

G.CO.1

G.SRT.5

Consider the parallelogram with vertices at (0,0),(8,0),(4,6) and (12,6). Where do the diagonals of this parallelogram intersect?

G.C.2

G.CO.1

G.SRT.5

Lines l and p are parallel.
Select all true statements.

cos(B)=sin(C)

The slope of line l is equal to the slope of line p.

sin(A)=sin(C)

Triangle ADB is congruent to triangle CEF.

Triangle ADB is similar to triangle CEF.

G.C.2

G.CO.1

G.SRT.5

Mai wrote a proof that triangle AED is congruent to triangle CEB. Mai's proof is incomplete. How can Mai fix her proof?
We know side AE is congruent to side CE and angle A is congruent to angle C. By the Angle-Side-Angle Triangle Congruence Theorem, triangle AED is congruent to triangle CEB.

G.C.2

G.CO.1

G.SRT.5

This lesson is from Illustrative Mathematics. Geometry, Unit 7, Lesson 1. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/2/7/1/index.html ; accessed 29/July/2021.

The Illustrative Mathematics name and logo are not subject to the Creative Commons license and may not be used without the prior and express written consent of Illustrative Mathematics.

These materials include public domain images or openly licensed images that are copyrighted by their respective owners. Openly licensed images remain under the terms of their respective licenses. See the image attribution section for more information.

Illustrative Mathematics - Geometry - Unit 7 - Lesson 1

Illustrative Mathematics - Geometry - Unit 7 - Lesson 1

Find the values of x, y, and z.

Write an equation of the altitude from vertex A.

Triangle ABC has vertices at (5,0),(1,6) and (9,3). What is the point of intersection of the triangle’s medians?

Consider the parallelogram with vertices at (0,0),(8,0),(4,6) and (12,6). Where do the diagonals of this parallelogram intersect?

Lines l and p are parallel. Select all true statements.

Mai wrote a proof that triangle AED is congruent to triangle CEB. Mai's proof is incomplete. How can Mai fix her proof?We know side AE is congruent to side CE and angle A is congruent to angle C. By the Angle-Side-Angle Triangle Congruence Theorem, triangle AED is congruent to triangle CEB.

Find the values of x, y, and z.

Write an equation of the altitude from vertex A.

Triangle ABC has vertices at (5,0),(1,6) and (9,3). What is the point of intersection of the triangle’s medians?

Consider the parallelogram with vertices at (0,0),(8,0),(4,6) and (12,6). Where do the diagonals of this parallelogram intersect?

Lines l and p are parallel. Select all true statements.

Mai wrote a proof that triangle AED is congruent to triangle CEB. Mai's proof is incomplete. How can Mai fix her proof?We know side AE is congruent to side CE and angle A is congruent to angle C. By the Angle-Side-Angle Triangle Congruence Theorem, triangle AED is congruent to triangle CEB.

Lines l and p are parallel.
Select all true statements.

Mai wrote a proof that triangle AED is congruent to triangle CEB. Mai's proof is incomplete. How can Mai fix her proof?
We know side AE is congruent to side CE and angle A is congruent to angle C. By the Angle-Side-Angle Triangle Congruence Theorem, triangle AED is congruent to triangle CEB.

Lines l and p are parallel.
Select all true statements.

Mai wrote a proof that triangle AED is congruent to triangle CEB. Mai's proof is incomplete. How can Mai fix her proof?
We know side AE is congruent to side CE and angle A is congruent to angle C. By the Angle-Side-Angle Triangle Congruence Theorem, triangle AED is congruent to triangle CEB.